fxsolver.com - Latest entrieshttps://www.fxsolver.com/blog/The latest entries for the site fxsolver.comen-usZinniaThu, 30 Jun 2016 17:07:11 +000010+1 Statics formulas to know and use
https://www.fxsolver.com/blog/2016/06/30/101-statics-formulas-know-and-use/<p>
<span style="font-size: 12px;">Engineers should definitely take a peek, and not only them!</span></p><br /><h2>
1. <a href="http://www.fxsolver.com/browse/?q=%22Area+moment+of+inertia%22&cat=83&p=2">Area Moment of Inertia</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Area-Moment-of-Inertia.jpg" title="Area Moment of Inertia" alt="Area Moment of Inertia" />
The second moment of area, also known as moment of inertia of plane area, area moment of inertia, polar moment of area or second area moment, is a geometrical property of an area which reflects how its points are distributed with regard to an arbitrary axis.<br />
The second moment of area for a shape is easier to be calculated with respect to a parallel axis or with respect to a perpendicular axis through the centroid of the shape.<br />
Many formulas exist for Area Moment of Inertia. You can find all of the Area Moment of Inertia equations that exist in fxSolver's database in this <a href="http://www.fxsolver.com/browse/?q=%22Area+moment+of+inertia%22&cat=83&p=0">LINK</a>. </p><br /><h2>
2. <a href="http://www.fxsolver.com/browse/formulas/Angular+Acceleration">Angular Acceleration</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Angular_Acceleration.PNG" title="Angular Acceleration" alt="Angular Acceleration" />
Torque, moment, or moment of force is the tendency of a force to rotate an object about an axis, fulcrum, or pivot. <br />
Moment of inertia is the mass property of a rigid body that determines the torque needed for a desired angular acceleration about an axis of rotation. <br />
Angular acceleration is the rate of change of angular velocity over time.<br />
For all constant values of the torque of an object, the angular acceleration will also be constant. The constant angular acceleration can be calculated by the ratio of the total the torque of the object to the its moment of inertia.</p><br /><h2>
3. <a href="http://www.fxsolver.com/browse/formulas/Cantilever+Euler+Beam+-+Displacement">Cantilever Euler Beam – Displacement</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Cantilever_beam.PNG" title="Cantilever Euler Beam" alt="Cantilever Euler Beam" />
Euler–Bernoulli beam theory (also known as engineer’s beam theory or classical beam theory) is a simplification of the linear theory of elasticity which provides a means of calculating the load-carrying and deflection characteristics of beams. It covers the case for small deflections of a beam that is subjected to lateral loads only. A cantilever is a beam anchored at only one end. The beam carries the load to the support where it is forced against by a moment and shear stress. The displacement of a cantilever Euler Beam with a point load at its free end is depended on the load on end of the beam, the beam length and the Area Moment of Inertia for beam’s cross-section.</p><br /><h2>
4. <a href="http://www.fxsolver.com/browse/formulas/Catenary+curve">Catenary curve</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Catenary_Curve.PNG" title="Catenary Curve" alt="Catenary Curve" />
In physics and geometry, a catenary is the curve that an idealized hanging chain or cable assumes under its own weight when supported only at its ends. The curve has a U-like shape, superficially similar in appearance to a parabola, but it is not a parabola; it is a (scaled, rotated) graph of the hyperbolic cosine. All catenary curves are similar to each other, having eccentricity equal to √2. Changing the parameter “a” is equivalent to a uniform scaling of the curve. You can check the sketch in this <a href="http://www.fxsolver.com/browse/formulas/Catenary+curve">LINK</a> to understand things better.</p><br /><h2>
5. <a href="http://www.fxsolver.com/browse/formulas/Center+of+mass+%28for+a+system+of+n-particles%29">Center of mass (for a system of n-particles)</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Center_of_Mass.PNG" title="Center of mass" alt="Center of mass" />
The center of mass of a distribution of mass in space is the unique point where the weighted relative position of the distributed mass sums to zero. <br />
The barycentric coordinate system is a coordinate system in which the location of a point of a simplex (a triangle, tetrahedron, etc.) is specified as the center of mass, or barycenter, of masses placed at its vertices. Coordinates also extend outside the simplex, where one or more coordinates become negative.<br />
The coordinates R of the center of mass of a n-particle system can be computed by the masses of the particles and their distances from a fixed point.</p><br /><h2>
6. <a href="http://www.fxsolver.com/browse/formulas/Compound+pendulum+%28+ordinary+frequency+%29">Compound pendulum ( ordinary frequency )</a></h2><br /><div>
<p><img src="http://www.fxsolver.com/media/wiki/Compund_Pendulum.PNG" title="Compound Pendulum" alt="Compound Pendulum" />
A compound pendulum is a body formed from an assembly of particles or continuous shapes that rotates rigidly around a pivot. Its moments of inertia is the sum the moments of inertia of each of the particles that is composed of. Any swinging rigid body free to rotate about a fixed horizontal axis is called a compound pendulum or physical pendulum. The appropriate equivalent length L for calculating the period ( or ordinary frequency ) of any such pendulum is the distance from the pivot to the center of oscillation. The natural frequency of a compound pendulum depends on its moment of inertia.<br />
If you are interested in Pendulums you should definitely check the following posts: <a href="http://www.fxsolver.com/blog/2016/02/26/pendulum-and-its-period/" title="Pendulum and its Period">Pendulum and its Period</a> and <a href="http://www.fxsolver.com/blog/2016/03/02/pendulum-clocks-and-amplitude-period-pendulum/" title="Pendulum Clocks and the Amplitude Period of Pendulum">Pendulum Clocks</a>.</p><br /></div><br /><h2>
7. <a href="http://www.fxsolver.com/browse/formulas/Critical+Damping+Coefficient">Critical Damping Coefficient</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Critical_Damping_Coefficient.PNG" title="Critical Damping Coefficient" alt="Critical Damping Coefficient" />
A harmonic oscillator is a system that, when displaced from its equilibrium position, experiences a restoring force, proportional to the displacement. If a frictional force (damping) proportional to the velocity is also present, the harmonic oscillator is described as a damped oscillator. If the system contained high losses is called overdamped. Commonly, the mass tends to overshoot its starting position, and then return, overshooting again. With each overshoot, some energy in the system is dissipated, and the oscillations die towards zero. This case is called underdamped. </p><br /><h2>
8. <a href="http://www.fxsolver.com/browse/formulas/Elastic+Potential+Energy">Elastic Potential Energy</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Elastic_Potential_Energy.PNG" title="Elastic Potential Energy" alt="Elastic Potential Energy" />
According to Hooke’s Law, Elastic potential energy is stored in a simple harmonic oscillator at position x,for example, the energy saved in an object that is stretched, compressed (compression is pressing objects together), twisted or bent. The elastic potential energy equation is used in calculations of positions of mechanical equilibrium. The energy is potential as it will be converted into another form of energy, such as kinetic. Forces applied to an elastic material transfer energy into the material which, upon yielding that energy to its surroundings, can recover its original shape.</p><br /><h2>
9. <a href="http://www.fxsolver.com/browse/formulas/Half+Sphere+Mass">Half Sphere Mass</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Half_Sphere_Mass.PNG" title="Half Sphere Mass" alt="Half Sphere Mass" />
A sphere is defined mathematically as the set of points that are all the same distance r from a given point in three-dimensional space. This distance r is the radius of the sphere, and the given point is the center of the sphere. Any plane that includes the center of a sphere divides it into two equal hemispheres (half spheres). The mass of each hemisphere can be calculated by the density of the sphere and its radius.</p><br /><h2>
10. <a href="http://www.fxsolver.com/browse/formulas/Kinetic+Friction">Kinetic Friction</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Kinetic_Friction.PNG" title="Kinetic Friction" alt="Kinetic Friction" />
Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. Kinetic friction is the force between two objects that are moving relative to each other. The coefficient of kinetic friction is usually less than the coefficient of static friction for the same materials.</p><br /><h2>
10+1. <a href="http://www.fxsolver.com/browse/formulas/Rotational+stiffness">Rotational stiffness</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Rotational_Stiffness.PNG" title="Rotational Stiffness" alt="Rotational Stiffness" />
The stiffness of a body is a measure of the resistance offered by an elastic body to deformation. A body have a rotational stiffness when it is in a rotational movement and is depended on the applied moment and the angle of the rotation.<br />
The stiffness of a body is a measure of the resistance offered by an elastic body to deformation. For an elastic body with a single degree of freedom (for example, stretching or compression of a rod), the stiffness is depended on the force applied on the body and the displacement produced by the force.</p>
<p>You can try to search whatever you want just by clicking on the “<a href="http://www.fxsolver.com/browse/" title="Browse fxSolver Formulas">Browse Formulas</a>” button on the top left of your screen. </p>
<p>If you need any help, you will find some in our <a href="http://www.fxsolver.com/blog/2015/06/09/fxsolvers-video/" title="video">fxSolver video</a>.<br />Also remember to follow or interact with us in our <strong>social media pages</strong>. You will find links below.</p>
dtrangalos@gmail.com (Dimitris)Thu, 30 Jun 2016 17:07:11 +0000https://www.fxsolver.com/blog/2016/06/30/101-statics-formulas-know-and-use/10+X Series and Progressions
https://www.fxsolver.com/blog/2016/06/24/10x-series-and-progressions/ <p><p>
In mathematics, a series is, informally speaking, the sum of the terms of an infinite sequence. The sum of a finite sequence has defined first and last terms, whereas a series continues indefinitely. Apart from awesome, they are also super useful.<br />
</p><br /><h2>
1. <a href="http://www.fxsolver.com/browse/formulas/Arithmetic+progression" title="More info about this formula">Arithmetic progression</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Arithmetic_Progression.PNG" title="Arithmetic Progression" alt="Arithmetic Progression" />
An arithmetic progression is a sequence of numbers such that the difference between the consecutive terms is constant and is calling common difference. The behavior of the arithmetic progression depends on the common difference . If the common difference is:<br />
Positive, the members (terms) will grow towards positive infinity.<br />
Negative, the members (terms) will grow towards negative infinity.</p><br /><h2>
2. <a href="http://www.fxsolver.com/browse/formulas/Fibonacci+numbers" title="More info about this formula">Fibonacci numbers</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Fibonaci_Numbers.PNG" title="Fibonacci Numbers" alt="Fibonacci Numbers" />
The famous Fibonacci numbers are a recurrence relation is an equation that recursively defines a sequence, once one or more initial terms are given: each further term of the sequence is defined as a function of the preceding terms.<br />
The Fibonacci numbers are the archetype of a linear, homogeneous recurrence relation with constant coefficients. Fo=0, F1=1<br />
We obtain the sequence of Fibonacci numbers which begins: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...</p><br /><h2>
3. <a href="http://www.fxsolver.com/browse/formulas/Geometric+mean+of+two+numbers" title="More info about this formula">Geometric mean of two numbers</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Geometric_mean_of_2_numbers.PNG" title="Geometric Mean of two numbers" alt="Geometric Mean of two numbers" />
The geometric mean is defined as the square root of the product of the numbers. It only applies either to positive numbers or both negative numbers.</p><br /><h2>
4. <a href="http://www.fxsolver.com/browse/formulas/Geometric+progression+%28nth+term%29" title="More info about this formula">Geometric progression (nth term)</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Geometric_progression_NTH.PNG" title="Geometric Progression" alt="Geometric Progression" />
A geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. The n-th term of a geometric sequence can be calculated by the initial value and common ratio of the progression.</p><br /><h2>
5. <a href="http://www.fxsolver.com/browse/formulas/Geometric+series+%28sum+of+the+numbers%29" title="More info about this formula">Geometric series (sum of the numbers)</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Geometric_Series_SUM.PNG" title="Geometric Series SUM" alt="Geometric Series SUM" />
The sum of the numbers in a geometric progression can be calculated by the initial value and common ratio of the progression.</p><br /><h2>
6. <a data-fid="2021" href="http://www.fxsolver.com/browse/formulas/Standard+deviation+of+any+arithmetic+progression" title="More info about this formula">Standard deviation of any arithmetic progression</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Standard_Deviation.PNG" title="Standard Deviation" alt="Standard Deviation" />
This Equation is under the 1st formulas rules. But you should know that the standard deviation of any arithmetic progression can be calculated by the nth term of the sequence. In statistics and probability theory, the standard deviation measures the amount of variation or dispersion from the average.</p><br /><h2>
7. <a href="http://www.fxsolver.com/browse/formulas/Sum+of+consecutive+%28pyramidal%29+squares" title="More info about this formula">Sum of consecutive (pyramidal) squares</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Sum_of_consequent_triangle.PNG" title="Sum of consecutive triangular cubes" alt="Sum of consecutive triangular cubes" />
In mathematics, a pyramid number, or square pyramidal number, is a figurate number that represents the number of stacked spheres in a pyramid with a square base. Square pyramidal numbers also solve the problem of counting the number of squares in an n × n grid. The sum of the squares of any number of consecutive integers starting with 1. <br />
1, 5, 14, 30, 55, 91, 140, 204, 285, 385, 506, 650, 819 …</p><br /><h2>
8. <a href="http://www.fxsolver.com/browse/formulas/Sum+of+consecutive+%28triangular%29+cubes+%28Nicomachus%27s+theorem%29" title="More info about this formula">Sum of consecutive (triangular) cubes</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Sum_of_consequent.PNG" title="Sum of consequent Triangle" alt="Sum of consequent Triangle" />
In number theory, the sum of the first n cubes is the square of the nth triangular number. The sequence of squared triangular numbers is 0, 1, 9, 36, 100, 225, 441, 784, 1296, 2025, 3025, 4356, 6084, 8281, ... (sequence A000537 in <span class="caps">OEIS</span>).<br />
These numbers can be viewed as figurate numbers, a four-dimensional hyperpyramidal generalization of the triangular numbers and square pyramidal numbers. This is also called Nicomachus’s Theorem</p><br /><h2>
9. <a href="http://www.fxsolver.com/browse/formulas/Sum+of+the+infinite+terms" title="More info about this formula">Sum of the infinite terms</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Sum_of_the_Infinite_terms.PNG" title="Sum of the infinite terms" alt="Sum of the infinite terms" />
An infinite geometric series is an infinite series whose successive terms have a common ratio. Such a series converges if and only if the absolute value of the common ratio is less than one (|r| < 1). Its value can then be computed from the finite sum formula.</p><br /><h2>
10. <a href="http://www.fxsolver.com/browse/formulas/Triangular+number" title="More info about this formula">Triangular number</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Triangular_number.PNG" title="Triangular Number" alt="Triangular Number" />
A triangular number or triangle number counts the objects that can form an equilateral triangle. The nth triangle number is the number of dots composing a triangle with n dots on a side, and is equal to the sum of the n natural numbers from 1 to n. The sequence of triangular numbers (sequence A000217 in <span class="caps">OEIS</span>), starting at the 0th triangular number, is: 0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91, 105, 120, 136, 153, 171, 190, 210, 231, 253, 276, 300, 325, 351, 378, 406 …</p><br /><h2>
Bonus: <a href="http://www.fxsolver.com/browse/?q=+Maclaurin+series">Maclaurin series </a></h2><br /><p>
In mathematics, a Taylor series is a representation of a function as an infinite sum of terms that are calculated from the values of the function’s derivatives at a single point. If the Taylor series is centered at zero, then that series is also called a Maclaurin series. In this <a href="http://www.fxsolver.com/browse/?q=+Maclaurin+series">LINK</a> you can find all the Maclaurin Series in our database.</p><br /><p>
You can try to search whatever you want just by clicking on the “<a href="http://www.fxsolver.com/browse/" title="Browse fxSolver Formulas">Browse Formulas</a>” button on the top left of your screen. </p>
<p>If you need any help, you will find some in our <a href="http://www.fxsolver.com/blog/2015/06/09/fxsolvers-video/" title="video">fxSolver video</a>.<br />Also remember to follow or interact with us in our <strong>social media pages</strong>. You will find links below.</p>
dtrangalos@gmail.com (Dimitris)Fri, 24 Jun 2016 13:32:06 +0000https://www.fxsolver.com/blog/2016/06/24/10x-series-and-progressions/10 Trigonometry equations a student should know
https://www.fxsolver.com/blog/2016/06/16/10-trigonometry-equations-student-should-know/ <p><p>
Trigonometry is one of the core courses school students study in numerous countries accross the globe. We searched and found the 10 most useful formulas a school student might encounter. </p><br /><h2>
1. <a href="http://www.fxsolver.com/browse/formulas/Pythagorean+theorem+%28right+triangle%29">Pythagorean theorem (right triangle)</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Pythagorean_Theory.PNG" title="Pythagorean" alt="Pythagorean" />
Determines the length of the hypotenuse of a right triangle based on the lengths of the other two sides. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. The Pythagorean equation relates the sides of a right triangle in a simple way, so that if the lengths of any two sides are known the length of the third side can be found. </p><br /><h2>
2. <a href="http://www.fxsolver.com/browse/formulas/Area+of+an+arbitrary+triangle">Area of an arbitrary triangle</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Area_of_an_arbitrary_Triangle.PNG" title="Area of an Arbitrary triangle" alt="Area of an Arbitrary triangle" />
The area of an arbitrary triangle can be calculated from the two sides of the triangle and the included angle. (Check the image in this <a href="http://www.fxsolver.com/browse/formulas/Area+of+an+arbitrary+triangle">LINK</a>)</p><br /><h2>
3. <a href="http://www.fxsolver.com/browse/formulas/Area+of+a+triangle+%28related+to+the+two+of+its+altitudes%29">Area of a triangle (related to the two of its altitudes)</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Area_of_a_Triangle.PNG" title="Area of a Triangle" alt="Area of a Triangle" />
Altitude of a triangle is a straight line through a vertex and perpendicular to a line containing the base (the opposite side of the triangle). The area of the triangle can be calculated by the two of its altitudes and the sine an angle. S is the area of the triangle, h the altitudes and C the angle of the opposite side</p><br /><h2>
4. <a href="http://www.fxsolver.com/browse/formulas/Hyperbolic+triangle+%28+length+of+the+base%29">Hyperbolic triangle ( length of the base)</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Hyperbolic_Triangle.PNG" title="Hyperbolic Triangle" alt="Hyperbolic Triangle" />
A hyperbolic sector is a region of the Cartesian plane {(x,y)} bounded by rays from the origin to two points (a, 1/a) and (b, 1/b) and by the hyperbola xy =1.<br />
When in standard position, a hyperbolic sector determines a hyperbolic triangle, the right triangle with one vertex at the origin, base on the diagonal ray y = x, and third vertex on the hyperbola then xy =1. The length of the base of the hyperbolic triangle is propotional to the cosh(u).</p><br /><h2>
5. <a href="http://www.fxsolver.com/browse/formulas/Hyperbolic+triangle+%28+length+of+the+altitude%29">Hyperbolic triangle ( length of the altitude)</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Hyperbolic_Triangle_altitude.PNG" title="Hyperbolic triangle Altitude" alt="Hyperbolic triangle Altitude" />
As above, but the altitude of the hyperbolic triangle is proportional to the sinh(u).</p><br /><h2>
6. <a href="http://www.fxsolver.com/browse/formulas/Cosine+function">Cosine function</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Cosine_Function.PNG" title="Cosine Function" alt="Cosine Function" />
The trigonometric functions are functions of an angle. They relate the angles of a triangle to the lengths of its sides. The most familiar trigonometric functions are the sine, cosine, and tangent. To define the trigonometric functions for an angle , start with any right triangle that contains this angle . The three sides of the triangle are named:<br />
1) hypotenuse (is the side opposite the right angle and always the longest side of the right-angled triangle).<br />
2) opposite side (is the side opposite to the angle we are interested in)<br />
3) adjacent side (Is the side having both the angles of interest ).<br />
The cosine is defined as the ratio of the side adjacent an angle of a right angled triangle to it’s hypotenuse.<br />
Check the image in this <a href="http://www.fxsolver.com/browse/formulas/Cosine+function">LINK</a> to understand it completely.</p><br /><h2>
7. <a href="http://www.fxsolver.com/browse/formulas/Double+angle%27s+sine+%28related+to+the+sine+and+cosine%29">Double angle's sine (related to the sine and cosine)</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Double_Angle_Sin.PNG" title="Double Angle Sin" alt="Double Angle Sin" />
Trigonometric identities are equalities that involve trigonometric functions and are true for every single value of the occurring variables. Geometrically, these are identities involving certain functions of one or more angles.<br />
The sine of an angle is defined in the context of a right triangle, as the ratio of the length of the side that is opposite to the angle divided by the length of the longest side of the triangle (the hypotenuse ).<br />
The cosine of an angle is also defined in the context of a right triangle, as the ratio of the length of the side the angle is in divided by the length of the longest side of the triangle (the hypotenuse ).<br />
The tangent (tan) of an angle is the ratio of the sine to the cosine.</p><br /><h2>
8. <a href="http://www.fxsolver.com/browse/formulas/Ordinate+of+a+point+of+a+circle+%28trigonometric+function%29">Ordinate of a point of a circle (trigonometric function)</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Oribinate.PNG" title="Ordinate" alt="Ordinate" />
The ordinate of point of a circle, in an x–y Cartesian coordinate system, can be computed by the ordinate of the center of the circle, the radius and the angle that the ray from the center of the circle to the point makes with the x-axis</p><br /><h2>
9. <a href="http://www.fxsolver.com/browse/formulas/Rhombus+area+%28trigonometric+function%29">Rhombus area (trigonometric function)</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Rhombus_Area.PNG" title="Rhombus Area" alt="Rhombus Area" />
A rhombus , is a simple (non-self-intersecting) quadrilateral all of whose four sides have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length. <br />
The area of a rhombus,can be calculated by the side and the sinus of any angle of the rhombus.</p><br /><h2>
10. <a href="http://www.fxsolver.com/browse/formulas/Flattening+-+1st+variant">Flattening – 1st variant</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Flattening.PNG" title="Flatting" alt="Flatting" />
Flattening is a measure of the compression of a circle or sphere along a diameter to form an ellipse or an ellipsoid of revolution (spheroid) respectively. Other terms used are ellipticity, or oblateness. The compression factor is b/a in each case. For the ellipse, this factor is also the aspect ratio of the ellipse.</p><br />You can try to search whatever you want just by clicking on the “<a href="http://www.fxsolver.com/browse/" title="Browse fxSolver Formulas">Browse Formulas</a>” button on the top left of your screen. </p>
<p>If you need any help, you will find some in our <a href="http://www.fxsolver.com/blog/2015/06/09/fxsolvers-video/" title="video">fxSolver video</a>.<br />Also remember to follow or interact with us in our <strong>social media pages</strong>. You will find links below.</p>
dtrangalos@gmail.com (Dimitris)Thu, 16 Jun 2016 17:12:40 +0000https://www.fxsolver.com/blog/2016/06/16/10-trigonometry-equations-student-should-know/10 formulas a Doctor should know
https://www.fxsolver.com/blog/2016/06/10/10-formulas-doctor-should-know/<p>
Doctors are smart people but lots of them hated math in school and though that after becoming doctors, they would never have to solve an equation again!<br />
Well think again, while reading the 10 formulas a Doctor should know and use.</p><br /><p>
</p><br /><h2>
1. <a href="http://www.fxsolver.com/browse/formulas/Airway+Conductance" title="More info about this formula">Airway Conductance</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Airway_Conductance.PNG" title="Airway Conductance" alt="Airway Conductance" />
In respiratory physiology, airway resistance is the resistance of the respiratory tract to airflow during inspiration and expiration. It is markedly affected by changes in the diameter of the airways, therefore diseases affecting the respiratory tract can increase airway resistance. Airway Conductance is the mathematical inverse of airway resistance.</p><br /><h2>
2. <a href="http://www.fxsolver.com/browse/formulas/Blood+pressure+%28+related+to+the+wall+tension+of+artery+or+vein%29" title="More info about this formula">Blood pressure</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Blood_Pressure.PNG" title="Blood Pressure" alt="Blood Pressure" />
Blood pressure is related to the wall tension of the artery or vein, according to the Young–Laplace equation (assuming that the thickness of the vessel wall is very small as compared to the diameter of the lumen). For the thin-walled assumption to be valid the vessel must have a wall thickness of no more than about one-tenth (often cited as one twentieth) of its radius.</p><br /><h2>
3. <a href="http://www.fxsolver.com/browse/formulas/Body+Mass+Index+-+BMI" title="More info about this formula">Body Mass Index – BMI</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Body_Mass_Index.PNG" title="Body Mass" alt="Body Mass" />
The body mass index (<span class="caps">BMI</span>), or Quetelet index, is a heuristic proxy for human body fat based on an individual’s weight and height. BMI provides a simple numeric measure of a person’s thickness or thinness, allowing health professionals to discuss overweight and underweight problems more objectively with their patients.</p><br /><h2>
4. <a href="http://www.fxsolver.com/browse/formulas/Cardiac+Index" title="More info about this formula">Cardiac Index</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Cardiac_Index.PNG" title="Cardiac Index" alt="Cardiac Index" />
Cardiac index (CI) is a vasodynamic parameter that relates the cardiac output (CO) to body surface area (<span class="caps">BSA</span>), thus relating heart performance to the size of the individual. CI stands for Cardiac Index, CO for Cardiac Output and <a href="http://www.fxsolver.com/browse/formulas/Body+Surface+Area+-+Du+Bois"><span class="caps">BSA</span> for Body Surface Area</a>.</p><br /><h2>
5. <a href="http://www.fxsolver.com/browse/formulas/Cardiac+Output" title="More info about this formula">Cardiac Output</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Cardiac_Output.PNG" title="Cardiac Output" alt="Cardiac Output" />
Cardiac output (Q or or CO as you read at the above equation ) is the volume of blood being pumped by the heart, in particular by a left or right ventricle in the time interval of one minute. SV stands for Stroke Volume and HR stands for heart ratebit*min.</p><br /><h2>
6. <a href="http://www.fxsolver.com/browse/formulas/Stroke+Volume" title="More info about this formula">Stroke Volume</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Stroke_Volume.PNG" title="Stroke Volume" alt="Stroke Volume" />
In cardiovascular physiology, stroke volume (SV) is the volume of blood pumped from one ventricle of the heart with each beat. SV is calculated using measurements of ventricle volumes from an echocardiogram and subtracting the volume of the blood in the ventricle at the end of a beat (called end-systolic volume) from the volume of blood just prior to the beat (called end-diastolic volume).</p><br /><h2>
7. <a href="http://www.fxsolver.com/browse/formulas/Creatinine+Clearance" title="More info about this formula">Creatinine Clearance</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Creatine_Clearance.PNG" title="Creatinine Clearance" alt="Creatinine Clearance" />
Renal function, in nephrology, is an indication of the state of the kidney and its role in renal physiology. Glomerular filtration rate (<span class="caps">GFR</span>) describes the flow rate of filtered fluid through the kidney. Creatinine clearance rate (CCr or CrCl) is the volume of blood plasma that is cleared of creatinine per unit time and is a useful measure for approximating the <span class="caps">GFR</span>.</p><br /><h2>
8. <a href="http://www.fxsolver.com/browse/formulas/Ejection+fraction" title="More info about this formula">Ejection fraction</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Ejection_Fraction.PNG" title="Ejection Fraction" alt="Ejection Fraction" />
Ejection fraction (EF) is the fraction of blood in the left and right ventricles pumped out with each heartbeat. EF is applied to both the right ventricle, which ejects blood via the pulmonary valve into the pulmonary circulation, and the left ventricle, which ejects blood via the aortic valve into the cerebral and systemic circulation. the volume of blood within a ventricle immediately before a contraction is the end-diastolic volume (<span class="caps">EDV</span>).</p><br /><h2>
9. <a href="http://www.fxsolver.com/browse/formulas/Estimated+Blood+Alcohol+Concentration+-+EBAC" title="More info about this formula">Estimated Blood Alcohol Concentration – EBAC</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Estimated_Blood_Alcohol_Concentration.PNG" title="Estimated Blood Alcohol Concentration" alt="Estimated Blood Alcohol Concentration" />
Blood alcohol content (<span class="caps">BAC</span>), also called blood alcohol concentration, blood ethanol concentration, or blood alcohol level is most commonly used as a metric of alcohol intoxication for legal or medical purposes.<br />
Blood alcohol content is usually expressed as a percentage of alcohol (generally in the sense of ethanol) in the blood in units of mass of alcohol per volume of blood or mass of alcohol per mass of blood, depending on the country. For instance, in North America a BAC of 0.10 (0.10% or one tenth of one percent) means that there are 0.10 g of alcohol for every dL of blood.</p><br /><h2>
10. <a href="http://www.fxsolver.com/browse/formulas/Low-density+lipoprotein+-+Estimation+of+LDL+particles+via+cholesterol+content+-+in+mg%5Cdl" title="More info about this formula">Low-density lipoprotein</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Low_Density_Lipoprotein.PNG" title="Low Density Lipoprotein LDL" alt="Low Density Lipoprotein LDL" />
Low-density lipoprotein (<span class="caps">LDL</span>) is one of the five major groups of lipoproteins. These groups, from least dense to most dense, are: chylomicrons , very low-density lipoprotein (<span class="caps">VLDL</span>), intermediate-density lipoprotein (<span class="caps">IDL</span>), <span class="caps">LDL</span>, and High Density Lipoprotein (<span class="caps">HDL</span>), all of them, particles far smaller than human cells.</p>
<p>You can try to search whatever you want just by clicking on the “<a href="http://www.fxsolver.com/browse/" title="Browse fxSolver Formulas">Browse Formulas</a>” button on the top left of your screen. </p>
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dtrangalos@gmail.com (Dimitris)Fri, 10 Jun 2016 10:12:26 +0000https://www.fxsolver.com/blog/2016/06/10/10-formulas-doctor-should-know/Top 10 Radar and Radio Formulas
https://www.fxsolver.com/blog/2016/06/03/top-10-radar-and-radio-formulas/<p>
Radar is an object detection system that uses electromagnetic waves to identify the range, altitude, direction, or speed of both moving and fixed objects. Radar and Radio are using similar formulas and they share some of them with telecommunications like the ones we presented in our <a href="http://www.fxsolver.com/blog/2016/05/27/top-10-telecommunications-formulas/" title="Top 10 Telecommunications Formulas">Top 10 Telecommunications Formulas</a> post.</p>
<h2>
1. <a href="http://www.fxsolver.com/browse/formulas/Radar+Range" title="More info about this formula">Radar Range</a></h2>
<p><img src="http://www.fxsolver.com/media/wiki/Radar_Range.PNG" title="Radar Range equation" alt="Radar Range equation" />
To calculate the range of a radar you need to know, the transmitted pulse peak power, the maximum power gain of antenna, the Radar cross section area, the antenna aperture, the minimum detectable signal of receiver, and… pi (spoiler alert, it's 3,14).</p><br /><h2>
2. <a href="http://www.fxsolver.com/browse/formulas/Radiant+Exitance+%28real+surface%29" title="More info about this formula">Radiant Exitance (real surface)</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Radiant_existence.PNG" title="Radiant existence" alt="Radiant existence" />
In radiometry, radiant exitance is the radiant flux emitted by a surface per unit area, and spectral exitance is the radiant exitance of a surface per unit frequency or wavelength, depending on whether the spectrum is taken as a function of frequency or of wavelength. This is the emitted component of radiosity.</p><br /><h2>
3. <a href="http://www.fxsolver.com/browse/formulas/Ratiometric+Correction+of+Transducer+Output+%28+output+voltage+%29" title="More info about this formula">Ratiometric Correction of Transducer Output</a></h2><br /><p> <img src="http://www.fxsolver.com/media/wiki/Ratiometric_Equation.PNG" title="Ratiometric Equation" alt="Ratiometric Equation" />
Piezoresistive transducers configured as Wheatstone bridges. often exhibit ratiometric behavior with respect not only to the measured pressure, but also the transducer supply voltage. P is the actual measured pressure, K the nominal transducer scale factor and V is for the transducer supply voltage.</p>
<h2>
4. <a href="http://www.fxsolver.com/browse/formulas/Fraunhofer+diffraction+%28Diffraction+by+a+double+slit%29" title="More info about this formula">Fraunhofer diffraction (Diffraction by a double slit)</a></h2>
<p><img src="http://www.fxsolver.com/media/wiki/Fraunhofer_diffraction.PNG" title="Fraunhofer diffraction" alt="Fraunhofer diffraction" />
In optics, the Fraunhofer diffraction equation is used to model the diffraction of waves when the diffraction pattern is viewed at a long distance from the diffracting object, and also when it is viewed at the focal plane of an imaging lens. In contrast, the diffraction pattern created near the object, in the near field region, is given by the Fresnel diffraction equation.<br />
In a diffraction by a double slit, (Double slit fringes with sodium light illumination) the two slits are illuminated by a single light beam.</p>
<h2>
5. <a href="http://www.fxsolver.com/browse/formulas/Fractional+bandwidth+%28RLC+circuits%29" title="More info about this formula">Fractional bandwidth (<span class="caps">RLC</span> circuits)</a></h2>
<p> <img src="http://www.fxsolver.com/media/wiki/Fractional_bandwidth.PNG" title="Fractional Bandwidth" alt="Fractional Bandwidth" />
The bandwidth as a fraction of the resonance frequency. It is the difference between the upper and lower frequencies in a continuous set of frequencies. The bandwidth is measured between the frequencies at which the power passed through the circuit has fallen to half the value passed at resonance. There are two of these half-power frequencies, one above, and one below the resonance frequency.</p>
<h2>
6. <a href="http://www.fxsolver.com/browse/formulas/Guided+ray+%28acceptance+angle%29" title="More info about this formula">Guided ray (acceptance angle)</a></h2>
<p><img src="http://www.fxsolver.com/media/wiki/Guided_ray.PNG" title="Guided Ray" alt="Guided Ray" />
A guided ray (also bound ray or trapped ray) is a ray of light in a multi-mode optical fiber ( type of optical fiber mostly used for communication over short distances), which is confined by the core.</p>
<h2>
7. <a href="http://www.fxsolver.com/browse/formulas/Hemispherical+attenuation+coefficient" title="More info about this formula">Hemispherical attenuation coefficient</a></h2>
<p><img src="http://www.fxsolver.com/media/wiki/hemispherical_attenuation_coefficient.PNG" title="Hemispherical attenuation" alt="Hemispherical attenuation" />
Attenuation coefficient or narrow beam attenuation coefficient of the volume of a material characterizes how easily it can be penetrated by a beam of light, sound, particles, or other energy or matter. A large attenuation coefficient means that the beam is quickly “attenuated” (weakened) as it passes through the medium, and a small attenuation coefficient means that the medium is relatively transparent to the beam.</p>
<h2>
8. <a href="http://www.fxsolver.com/browse/formulas/Planck%27s+law+%28+by+the+wavelength%29" title="More info about this formula">Planck's law (by the wavelength)</a></h2>
<p><img src="http://www.fxsolver.com/media/wiki/Planks_law.PNG" title="Plancks law" alt="Plancks law" />
Planck’s law describes the electromagnetic radiation emitted from a black body at a certain temperature. Radiance and spectral radiance are measures of the quantity of radiation that passes through or is emitted from a surface and falls within a given solid angle in a specified direction. Planckian spectral radiance can be measured by the wavelength of the radiation.</p>
<h2>
9. <a href="http://www.fxsolver.com/browse/formulas/Q+factor+%28RLC+circuits%29" title="More info about this formula">Q factor (<span class="caps">RLC</span> circuits)</a></h2>
<p><img src="http://www.fxsolver.com/media/wiki/Q_factor.PNG" title="Q factor" alt="Q factor" />
The Q factor in an <span class="caps">RLC</span> circuit is the peak energy stored in the circuit divided by the average energy dissipated in it per cycle at resonance, and is the inverse of fractional bandwidth which is dimensionless. Simple as that!</p>
<h2>
10. <a href="http://www.fxsolver.com/browse/formulas/Spectral+Exitance+%28real+surface%29" title="More info about this formula">Spectral Exitance (real surface)</a></h2>
<p><img src="http://www.fxsolver.com/media/wiki/Spectral_Exitance.PNG" title="Spectral Exitance" alt="Spectral Exitance" />
The spectral exitance of a real surface around a given frequency or wavelength, according to the Lambert’s cosine law and the Planck’s law, is equal to the formula shown above, where h is the Planck constant, c the speed of light, λ the wavelength, k the Boltzmann constant and T the temperature of the surface. π is pi, and e is e (duh!).</p>
<p><br /><br /><br/></p>
<p>You can try to search whatever you want just by clicking on the “<a href="http://www.fxsolver.com/browse/" title="Browse fxSolver Formulas">Browse Formulas</a>” button on the top left of your screen. </p>
<p>If you need any help, you will find some in our <a href="http://www.fxsolver.com/blog/2015/06/09/fxsolvers-video/" title="video">fxSolver video</a>.<br />Also remember to follow or interact with us in our <strong>social media pages</strong>. You will find links below.</p>
dtrangalos@gmail.com (Dimitris)Fri, 03 Jun 2016 09:57:16 +0000https://www.fxsolver.com/blog/2016/06/03/top-10-radar-and-radio-formulas/Top 10 Telecommunications Formulas
https://www.fxsolver.com/blog/2016/05/27/top-10-telecommunications-formulas/<h2>
<strong>1. </strong><strong><a href="http://www.fxsolver.com/browse/formulas/Antenna+Gain" title="More info about this formula">Antenna Gain</a></strong></h2>
<p><img src="http://www.fxsolver.com/media/wiki/Antenna_Gain.PNG" title="Antenna Gain" alt="Antenna Gain" />
In electromagnetics, an antenna’s power gain or simply gain is a key performance figure which combines the antenna’s directivity and electrical efficiency. As a transmitting antenna, the figure describes how well the antenna converts input power into radio waves headed in a specified direction. As a receiving antenna, the figure describes how well the antenna converts radio waves arriving from a specified direction into electrical power. </p><br /><h2>
<strong>2. <a href="http://www.fxsolver.com/browse/formulas/Beamwidth+-+Parabolic+Antenna" title="More info about this formula">Beamwidth – Parabolic Antenna</a></strong></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Beamwidth_Parabolic_Antenna.PNG" title="Beamwidth Parabolic Antenna" alt="Beamwidth Parabolic Antenna" />
The beam diameter or beam width of an electromagnetic beam is the diameter along any specified line that is perpendicular to the beam axis and intersects it. Since beams typically do not have sharp edges, the diameter can be defined in many different ways.</p><br /><h2>
<strong>3. <a href="http://www.fxsolver.com/browse/formulas/Data+Link+Design" title="More info about this formula">Data Link Design</a></strong></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Data_Link_Design.PNG" title="Data Link Design" alt="Data Link Design" />
The energy per bit to noise power spectral density ratio (Eb/N0) is an important parameter in digital communication or data transmission. It is a normalized signal-to-noise ratio (<span class="caps">SNR</span>) measure, also known as the “SNR per bit”. It is especially useful when comparing the bit error rate (<span class="caps">BER</span>) performance of different digital modulation schemes without taking bandwidth into account.</p><br /><h2>
<strong>4. </strong><strong><a href="http://www.fxsolver.com/browse/formulas/Free-Space+Path+Loss+%28in+dB%29" title="More info about this formula">Free-Space Path Loss (in dB)</a></strong></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Free-Space_Path_Loss.PNG" title="Free Space Path Loss" alt="Free Space Path Loss" />
In telecommunication, free-space path loss (<span class="caps">FSPL</span>) is the loss in signal strength of an electromagnetic wave that would result from a line-of-sight path through free space (usually air), with no obstacles nearby to cause reflection or diffraction. It is defined in “Standard Definitions of Terms for Antennas”, as “The loss between two isotropic radiators in free space, expressed as a power ratio.” </p><br /><h2>
<strong>5. <a href="http://www.fxsolver.com/browse/formulas/Friis+Transmission+equation" title="More info about this formula">Friis Transmission equation</a></strong></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Friis_Transmition_equation.PNG" title="Friis Transmition Equation" alt="Friis Transmition Equation" />
The Friis transmission equation is used in telecommunications engineering, and gives the power received by one antenna under idealized conditions given another antenna some distance away transmitting a known amount of power. The formula was derived in 1945 by Danish-American radio engineer Harald T. Friis at Bell Labs.</p><br /><h2>
<strong>6. <a href="http://www.fxsolver.com/browse/formulas/Gain+-+Parabolic+Antenna" title="More info about this formula">Gain – Parabolic Antenna</a></strong></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Gain_Parabolic_Antenna.PNG" title="Gain Parabolic Antenna" alt="Gain Parabolic Antenna" />
In electromagnetics, an antenna’s power gain or simply gain is a key performance figure which combines the antenna’s directivity and electrical efficiency. As a transmitting antenna, the figure describes how well the antenna converts input power into radio waves headed in a specified direction. As a receiving antenna, the figure describes how well the antenna converts radio waves arriving from a specified direction into electrical power. When no direction is specified, “gain” is understood to refer to the peak value of the gain. A plot of the gain as a function of direction is called the radiation pattern.</p><br /><h2>
<strong>7. <a href="http://www.fxsolver.com/browse/formulas/Loss+due+to+Antenna+Misalignment" title="More info about this formula">Loss due to Antenna Misalignment</a></strong></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Loss_die_to_Antenna_Misalignment.PNG" title="Loss due to Antenna Misalignment" alt="Loss due to Antenna Misalignment" />
Antenna measurement techniques refers to the testing of antennas to ensure that the antenna meets specifications or simply to characterize it. Typical parameters of antennas are gain, radiation pattern, beamwidth, polarization, and impedance. The antenna pattern is the response of the antenna to a plane wave incident from a given direction or the relative power density of the wave transmitted by the antenna in a given direction.</p><br /><h2>
<strong>8. <a href="http://www.fxsolver.com/browse/formulas/Noise+Factor" title="More info about this formula">Noise Factor</a></strong></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Noise_Factor.PNG" title="Noise Factor" alt="Noise Factor" />
Noise factor (F) is the measure of degradation of the signal-to-noise ratio (<span class="caps">SNR</span>), caused by components in a radio frequency (RF) signal chain. It is a number by which the performance of an amplifier or a radio receiver can be specified, with lower values indicating better performance. The noise factor is defined as the ratio of the output noise power of a device to the portion thereof attributable to thermal noise in the input termination at standard noise temperature T0 (usually 290 K). </p><br /><h2>
<strong>9. <a href="http://www.fxsolver.com/browse/formulas/Slant+Range" title="More info about this formula">Slant Range</a></strong></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Slant_Range.PNG" title="Slant Range" alt="Slant Range" />
In radio electronics, especially radar terminology, slant range is the line-of-sight distance between two points which are not at the same level relative to a specific datum.</p><br /><h2>
<strong>10. <a href="http://www.fxsolver.com/browse/formulas/Shannon%E2%80%93Hartley+theorem" title="More info about this formula">Shannon–Hartley theorem</a></strong></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Shannon-Harley_theorem.PNG" title="Shannon Hartley" alt="Shannon Hartley" />
In information theory, the Shannon–Hartley theorem tells the maximum rate at which information can be transmitted over a communications channel of a specified bandwidth in the presence of noise. It is an application of the noisy-channel coding theorem to the archetypal case of a continuous-time analog communications channel subject to Gaussian noise.</p>
<p><br /><br /><br/><br />You can try to search whatever you want just by clicking on the “<a href="http://www.fxsolver.com/browse/" title="Browse fxSolver Formulas">Browse Formulas</a>” button on the top left of your screen. </p>
<p>If you need any help, you will find some in our <a href="http://www.fxsolver.com/blog/2015/06/09/fxsolvers-video/" title="video">fxSolver video</a>.<br />Also remember to follow or interact with us in our <strong>social media pages</strong>. You will find links below.</p>
dtrangalos@gmail.com (Dimitris)Fri, 27 May 2016 09:40:05 +0000https://www.fxsolver.com/blog/2016/05/27/top-10-telecommunications-formulas/Top 10 Ballistics equations
https://www.fxsolver.com/blog/2016/05/20/top-10-ballistics-equations/<p>
Ballistics is the science of mechanics that deals with the launching, flight, behavior, and effects of projectiles, especially bullets, gravity bombs, rockets even baseballs. Here are the 10 equations you should have in mind if you are working on ballistics.</p>
<h2>
1. <a href="http://www.fxsolver.com/browse/formulas/Escape+Velocity" title="More info about this formula">Escape Velocity</a></h2>
<p><img src="http://www.fxsolver.com/media/wiki/Escape_Velocity.PNG" title="Escape Velocity" alt="Escape Velocity" />
Escape velocity is the speed at which the kinetic energy plus the gravitational potential energy of an object is zero. It is the speed needed to “break free” from a gravitational field without further propulsion. For a spherically symmetric massive body, the escape velocity at a given distance can be calculated by the mass of the massive body, and the distance from the center of gravity. ( Atmospheric friction (air drag) is not taken into account).</p>
<h2>
2. <a href="http://www.fxsolver.com/browse/formulas/Trajectory++Height" title="More info about this formula">Trajectory Height</a></h2>
<p><img src="http://www.fxsolver.com/media/wiki/Trajectory_Height.PNG" title="Trajectory Height" alt="Trajectory Height" />
A trajectory or flight path is the path that a moving object follows through space as a function of time. A trajectory can be described mathematically either by the geometry of the path, or as the position of the object over time. The maximum height reached by a projectile following a ballistic (parabolic) course is depended on the initial velocity and the initial angle.</p>
<h2>
3. <a href="http://www.fxsolver.com/browse/formulas/Trajectory+Range" title="More info about this formula">Trajectory Range</a></h2>
<p><img src="http://www.fxsolver.com/media/wiki/Trajectory_Range.PNG" title="Trajectory Range" alt="Trajectory Range" />
Height's best buddy is Range. The range of a projectile following a ballistic trajectory is the greatest distance the object travels along the x-axis. The x-axis is parallel to the ground and the y axis perpendicular to it ( parallel to the gravitational field lines ) and is depended on the initial velocity and the initial angle.</p>
<h2>
4. <a href="http://www.fxsolver.com/browse/formulas/Range+of+a+projectile" title="More info about this formula">Range of a projectile</a></h2>
<p><img src="http://www.fxsolver.com/media/wiki/Range_of_a_Projectile.PNG" title="Range of a projectile" alt="Range of a projectile" />
Assuming that Earth is flat and with a uniform gravity field and no air resistance, the range of a projectile launched with specific initial conditions will have a predictable range and it is calculated by this equation. That applies for ranges which are small compared to the size of the Earth.</p>
<h2>
5. <a href="http://www.fxsolver.com/browse/formulas/Angle+of+elevation+%28for+object+following+a+ballistic+trajectory%29" title="More info about this formula">Angle of elevation</a></h2>
<p><img src="http://www.fxsolver.com/media/wiki/Angle_of_elevation.PNG" title="Angle of Elevation" alt="Angle of Elevation" />
For a required range the angle of projectile launch ( the angle at which a projectile must be launched in order to go a distance , given the initial velocity) is related to the range and the initial velocity. Thank god we have an equation solver here, so the arcsin calculation is easier than ever.</p>
<h2>
6. <a href="http://www.fxsolver.com/browse/formulas/Angle++required+to+hit++for+a+projectile+following+a+ballistic+trajectory++%28coordinate+%28x%2Cy%29%29" title="More info about this formula">Angle required to hit for a projectile following a ballistic trajectory (coordinate (x,y))</a></h2>
<p><img src="http://www.fxsolver.com/media/wiki/Angle_required_to_hit_for_a_projectile.PNG" title="Angle Required to hit for a projectile" alt="Angle Required to hit for a projectile" />
The ballistic trajectory of a projectile is the path that a thrown or launched projectile will take under the action of gravity, neglecting all other forces, such as friction from air resistance, without propulsion.<br />
To hit a target at range x and altitude y when fired from (0,0) and with initial speed u the required angle of launch is depended on the initial velocity.</p>
<h2>
7. <a href="http://www.fxsolver.com/browse/formulas/Ballistic+Coefficient+-+using+body+length" title="More info about this formula">Ballistic Coefficient – using body length</a></h2>
<p><img src="http://www.fxsolver.com/media/wiki/Ballistic_Coefficient_-_Body_length.PNG" title="Ballistic Coefficient Body length" alt="Ballistic Coefficient Body length" />
In ballistics, the ballistic coefficient (BC) of a body is a measure of its ability to overcome air resistance in flight. It is inversely proportional to the negative acceleration — a high number indicates a low negative acceleration. This is roughly the same as saying that the projectile in question possesses low drag, although some meaning is lost in the generalization. BC is a function of mass, diameter, and drag coefficient.</p>
<h2>
8. <a href="http://www.fxsolver.com/browse/formulas/Ballistic+Coefficient+-+using+corss-sectional+area" title="More info about this formula">Ballistic Coefficient – using corss-sectional area</a></h2>
<p><img src="http://www.fxsolver.com/media/wiki/Ballistic_Coefficient_-_Cross_sectional_area.PNG" title="Ballistic Coefficient Cross sectional area" alt="Ballistic Coefficient Cross sectional area" />
Well, it is pretty much the same principle as number 7, but we need other variables to calculate this type of ballistic coefficient, such as mass, drag coefficient, and the cross-sectional area, instead of density and body length which are used in the 7th equation of our list.<br /></p>
<h2>
9. <a href="http://www.fxsolver.com/browse/formulas/Velocity+at+a+distance+x+%28for+object+following+a+ballistic+trajectory%29" title="More info about this formula">Velocity at a distance x (for object following a ballistic trajectory)</a></h2>
<p><img src="http://www.fxsolver.com/media/wiki/Velocity_at_a_distance_X.PNG" title="Velocity at a distance X" alt="Velocity at a distance X" />
Well, the magnitude of the velocity of the projectile at distance x is depended on the initial velocity and the angle at which the projectile is launched. It is given by this equation which is not as difficult as it looks.</p>
<h2>
10. <a href="http://www.fxsolver.com/browse/formulas/Time+of+flight+for+a+projectile+following+a+ballistic+trajectory" title="More info about this formula">Time of flight for a projectile following a ballistic trajectory</a></h2>
<p><img src="http://www.fxsolver.com/media/wiki/Time_of_flight.PNG" title="Time of flight for a projectile" alt="Time of flight for a projectile" />
The time of flight is the time it takes for the projectile to finish its trajectory and can be calculated by the angle at which the projectile is launched, the velocity at which the projectile is launched and the initial height of the projectile.</p>
<p><br /><br /><br/><br />You can try to search whatever you want just by clicking on the “<a href="http://www.fxsolver.com/browse/" title="Browse fxSolver Formulas">Browse Formulas</a>” button on the top left of your screen. </p>
<p>If you need any help, you will find some in our <a href="http://www.fxsolver.com/blog/2015/06/09/fxsolvers-video/" title="video">fxSolver video</a>.<br />Also remember to follow or interact with us in our <strong>social media pages</strong>. You will find links below.</p>
dtrangalos@gmail.com (Dimitris)Fri, 20 May 2016 12:03:55 +0000https://www.fxsolver.com/blog/2016/05/20/top-10-ballistics-equations/10 Equations a Geology student should know
https://www.fxsolver.com/blog/2016/05/13/10-equations-geology-student-should-know/<p>
Some branches of the Science of Geology, are pretty heavy in math and physics. Hydrogeology, Seismology, Geophysics and Structural Geology are some of them.<br />
Here we present you the 10 equations that a Geology Student should know and use.</p><br /><h2>
1. <a href="http://www.fxsolver.com/browse/formulas/Darcy%27s+law">Darcy's Law formula</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Darcys_Law.PNG" title="Darcy's Law" alt="Darcy's Law" />
The most important law in Hydrogeology, by far. When your professor is willing to go easy on you in an exam, he is going <a href="http://www.fxsolver.com/blog/2015/05/27/permeability-formulas-darcys-law/">Darcy's Law</a>. It is fundamental knowledge for every geologist.<br />
It describes the flow of a fluid through a porous medium, for slow, viscous flow. The total discharge, is equal to the product of the intrinsic permeability of the medium, the cross-sectional area to flow, and the total pressure drop, all divided by the viscosity, and the length over which the pressure drop is taking place.</p><br /><h2>
2. <a href="http://www.fxsolver.com/browse/formulas/Porosity">Porosity</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Porosity.PNG" title="Porosity" alt="Porosity" />
In Hydrogeology, people care mostly for how much fluid can be stored in a rock. So, porosity which is the volume of the voids of a soil over the total volume of the sample defines the porosity of a soil, is pretty important.<br />
It is used in geology, hydrogeology, soil science, and building science. The porosity of a porous medium (describes the fraction of void space in the material, where the void may contain.<br />
Porosity is a fraction between 0 and 1, typically ranging from less than 0.01 for solid granite to more than 0.5 for peat and clay. It may also be represented in percent terms by multiplying the fraction by 100.</p><br /><h2>
3. <a href="http://www.fxsolver.com/browse/formulas/Volumetric+water+content">Volumetric water content</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Volumetric_Water_Content..PNG" title="Volumetric Water Content" alt="Volumetric Water Content" />
If you read the 2 above paragraphs, you pretty much know why this formula is important. This equations calculates the Water content or moisture content inside a solid. It practically is the ratio of the volume of water to the total volume (that is soil volume + water volume + air space).</p><br /><h2>
4. <a href="http://www.fxsolver.com/browse/formulas/Effective+diffusivity+in+porous+media">Effective diffusivity in porous media</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Effective_diffusivity_in_porous_media.PNG" title="Effective Diffusivity in Porous Media" alt="Effective Diffusivity in Porous Media" />
In a porous medium, the skeletal portion of the material is often called the “matrix” or “frame” which is usually a solid, but structures like foams are often also usefully analyzed using concept of porous media. The effective diffusion coefficient describes diffusion through the pore space of porous media. It is macroscopic in nature, because it is not individual pores but the entire pore space that needs to be considered. </p><br /><h2>
5. <a href="http://www.fxsolver.com/browse/formulas/Hydraulic+conductivity+%28Constant-head+method%29">Hydraulic conductivity</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Hydraulic_Conductivity.PNG" title="Hydraulic Conductivity" alt="Hydraulic Conductivity" />
Last but not least in the Hydrogeology section of our list, we got Hydraulic Conductivity. It is a property of vascular plants, soils and rocks, that describes the ease with which a fluid (usually water) can move through pore spaces or fractures. It depends on the intrinsic permeability of the material and on the degree of saturation, and on the density and viscosity of the fluid.</p><br /><h2>
6. <a href="http://www.fxsolver.com/browse/formulas/Seismic+moment">Seismic moment</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Seismic_Moment.PNG" title="Seismic Moment" alt="Seismic Moment" />
Another strongly related with equations branch of geology is Seismology. Let's start with the Seismic moment. It is a quantity to measure the size of an earthquake and is proportional to the area of the rupture times the average slip that took place in the earthquake. Simple as that. <br />Read <a href="http://www.fxsolver.com/blog/2016/02/17/aristotles-earthquake-theory-seismic-moment/">HERE</a> a blog about this equation.</p><br /><h2>
7. <a href="http://www.fxsolver.com/browse/formulas/Richter+magnitude+scale">Richter magnitude scale</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Richter_Magnitude_Scale.PNG" title="Richter Magnitude Scale" alt="Richter Magnitude Scale" />
In 1930, the Richter scale was developed. It is a base-10 logarithmic scale, which defines magnitude as the logarithm of the ratio of the amplitude of the seismic waves to an arbitrary, minor amplitude. This scale saturates at around M=7, because the high frequency waves recorded locally have wavelengths shorter than the rupture lengths of large earthquakes.<br /><a href="http://www.fxsolver.com/blog/2016/02/20/richter-scale-and-16th-century-earthquake-theories/">HERE</a> you can read another post specifically about the Richter magnitude scale.</p><br /><h2>
8. <a href="http://www.fxsolver.com/browse/formulas/P-wave+Velocity">P-wave Velocity</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/P_Wave.PNG" title="P Wave Velocity" alt="P Wave Velocity" />
P-waves are a type of elastic wave, called seismic waves in seismology, that can travel through a continuum. The continuum is made up of gases (as sound waves), liquids, or solids, including the Earth. They can be produced by earthquakes and recorded by seismographs. The name P-wave is often said to stand either for primary wave, as it has the highest velocity and is therefore the first to be recorded; or pressure wave, as it is formed from alternating compressions and rarefactions. <br />More about P-waves <a href="http://www.fxsolver.com/blog/2016/02/08/thales-earthquake-theory-and-p-waves/">HERE</a>.</p><br /><h2>
9. <a href="http://www.fxsolver.com/browse/formulas/S-wave+Velocity">S-wave Velocity</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/S-Wave.PNG" title="S Wave Velocity" alt="S Wave Velocity" />
Another type of elastic wave strongly related to seismology, is the S-wave, secondary wave, or shear wave . It is one of the two main types of elastic body waves with its P-Wave pal. The S-wave moves as a shear or transverse wave, so motion is perpendicular to the direction of wave propagation. The wave moves through elastic media, and the main restoring force comes from shear effects. Read more about S-Wave <a href="http://www.fxsolver.com/blog/2016/02/11/anaximenes-and-democritus-earthquake-theory-s-wave-velocity/">HERE</a>.</p><br /><h2>
10. <a href="http://www.fxsolver.com/browse/formulas/Crystal+Structures+of+Metals+%28Face-Centered+Cubic%29">Crystal Structures of Metals</a></h2><br /><p><img src="http://www.fxsolver.com/media/wiki/Crystal_Structures_of_Metals.PNG" title="Crystal Structures of metals" alt="Crystal Structures of metals" />
Mineralogy and Crystallography are two geology branches that use lots of, chemistry and geometry related equations. This one will come pretty handy to any undergraduate geology student.<br />
Metals are crystallized in four crystal structures: simple cubic (sc); body-centered cubic (bcc); face-centered cubic (fcc) or cubic-close-packing (ccp); and hexagonal-close-packing (hcp).<br />
Face-centered cubic (fcc) system (or cubic close-packed or ccp) has lattice points on the faces of the cube, that each gives exactly one half contribution, in addition to the corner lattice points, giving a total of 4 lattice points per unit cell (1⁄8 × 8 from the corners plus 1⁄2 × 6 from the faces). The lattice is not a primitive one since there are 4 lattice points (atoms) per unit cell, one at the vertices (one eighth at each vertex) and three other on the 6 faces. The lattice constant can be calculated by the radius of the atom. </p>
<p>You can try to search whatever you want just by clicking on the “<a href="http://www.fxsolver.com/browse/" title="Browse fxSolver Formulas">Browse Formulas</a>” button on the top left of your screen and find a full list of Geology Equations <a href="http://www.fxsolver.com/browse/?cat=110" title="Geology Equations">HERE</a>. </p>
<p>If you need any help, you will find some in our <a href="http://www.fxsolver.com/blog/2015/06/09/fxsolvers-video/" title="video">fxSolver video</a>.<br />Also remember to follow or interact with us in our <strong>social media pages</strong>. You will find links below.</p>
<p>Header picture is taken from <a href="http://isostatic.deviantart.com/art/Rock-at-Meteora-Greece-28166798" title="Meteora Greece Picture">HERE</a>.</p>
dtrangalos@gmail.com (Dimitris)Fri, 13 May 2016 11:36:12 +0000https://www.fxsolver.com/blog/2016/05/13/10-equations-geology-student-should-know/Top 8 Biology Formulas
https://www.fxsolver.com/blog/2016/05/04/top-8-biology-formulas/<p>
Well, Biology is the only science in which multiplication is the same thing as division. Although, that principle doesn't apply on Biology equations. Let’s have a look at the 8 most important of them. </p><br /><p>
<strong>1. <a href="http://www.fxsolver.com/browse/formulas/Airway+resistance" title="More info about this formula">Airway resistance</a></strong></p><br /><p><img src="http://www.fxsolver.com/media/wiki/Airway.PNG" title="Airway Resistance" alt="Airway Resistance" />
Airway resistance is a concept in respiratory physiology that describes the resistance of the respiratory tract to airflow during inspiration and expiration. Airway resistance can be measured using body plethysmography. Simple (?) as that.</p><br /><p>
<strong>2. <a href="http://www.fxsolver.com/browse/formulas/Alpha+helix+%28rotational+angle%29" title="More info about this formula">Alpha helix (rotational angle)</a></strong></p><br /><p><img src="http://www.fxsolver.com/media/wiki/Alpha_Helix.PNG" title="Alpha Helix" alt="Alpha Helix" />
The alpha helix (α-helix) is a common secondary structure of proteins and is a righthand-coiled or spiral conformation (helix). Residues in α-helices typically adopt backbone (φ, ψ) dihedral angles around (-60°, -45°). they adopt dihedral angles such that the ψ dihedral angle of one residue and the φ dihedral angle of the next residue sum to roughly -105. The general formula for the rotation angle Ω per residue of any polypeptide helix with trans isomers is depended of the (φ, ψ) dihedral angles.</p><br /><p>
<strong>3. <a href="http://www.fxsolver.com/browse/formulas/Hill+equation" title="More info about this formula">Hill equation</a></strong></p><br /><p><img src="http://www.fxsolver.com/media/wiki/Hill_Equation.PNG" title="Hill Equation" alt="Hill Equation" />
In biochemistry, the binding of a ligand to a macromolecule is often enhanced if there are already other ligands present on the same macromolecule (this is known as cooperative binding). The Hill coefficient provides a way to quantify this effect.<br />
It describes the fraction of the macromolecule saturated by ligand as a function of the ligand concentration.</p><br /><p>
<strong>4. <a href="http://www.fxsolver.com/browse/formulas/Michaelis%E2%80%93Menten++enzyme+kinetics+%28reaction+rate%29" title="More info about this formula">Michaelis–Menten enzyme kinetics (reaction rate)</a></strong></p><br /><p><img src="http://www.fxsolver.com/media/wiki/Michaelis.PNG" title="Michaelis and Menten enzyme kinetics" alt="Michaelis and Menten enzyme kinetics" />
Michaelis–Menten kinetics is one of the best-known models of enzyme kinetics.The model takes the form of an equation describing the rate of enzymatic reactions, by relating reaction rate to the concentration of a substrate.</p><br /><p>
<strong>5. <a href="http://www.fxsolver.com/browse/formulas/Michaelis%E2%80%93Menten+enzyme+kinetics+%28maximum+reaction+rate%29" title="More info about this formula">Michaelis–Menten enzyme kinetics (maximum reaction rate)</a></strong></p><br /><p><img src="http://www.fxsolver.com/media/wiki/Michaelis_MAX.PNG" title="Michaelis - Menten equation for MAXIMUM" alt="Michaelis - Menten equation for MAXIMUM" />
In order to calculate the above Michaelis-Menten equation, you need the Vmax. It is calculated with this formula. The reaction rate increases with increasing substrate concentration, asymptotically approaching its maximum rate attained when all enzyme is bound to substrate.</p><br /><p>
<strong>6. <a href="http://www.fxsolver.com/browse/formulas/Poiseuille+equation+%28airway+resistance%29" title="More info about this formula">Poiseuille equation (airway resistance)</a></strong></p><br /><p><img src="http://www.fxsolver.com/media/wiki/Poiseule.PNG" title="Poiseuille Equation" alt="Poiseuille Equation" />
In respiratory physiology, airway resistance is the resistance of the respiratory tract to airflow during inspiration and expiration. In fluid dynamics, the Hagen–Poiseuille equation is a physical law that gives the pressure drop in a fluid flowing through a long cylindrical pipe. While the assumptions of the Hagen–Poiseuille equation are not strictly true of the respiratory tract it serves to show that, because of the fourth power, relatively small changes in the radius of the airways causes large changes in airway resistance. The airway resistance is depended on the length of pipe and the radius of the pipe.</p><br /><p>
<strong>7. <a href="http://www.fxsolver.com/browse/formulas/Drake+equation" title="More info about this formula">Drake equation</a></strong></p><br /><p><img src="http://www.fxsolver.com/media/wiki/Drake_Equation.PNG" title="Drake Equation" alt="Drake Equation" />
We are talking Astro-Biology now. Drake equation is a probabilistic argument used to estimate the number of active, communicative extraterrestrial civilizations in the Milky Way galaxy.<br />
R stands for the average number of star formation per year in our galaxy, L is the length of time for which such civilizations release detectable signals into space and n<sub>e</sub> is the average number of planets that can potentially support life per star that has planets.</p><br /><p>
<strong>8. <a href="http://www.fxsolver.com/browse/formulas/Earth+Similarity+Index" title="More info about this formula">Earth Similarity Index</a></strong></p><br /><p><img src="http://www.fxsolver.com/media/wiki/Earth_Similarity_Index.PNG" title="Earth Similarity Index" alt="Earth Similarity Index" />
Yet another Astro-Biology formula. The Earth Similarity Index, ESI or “easy scale” is a measure of how physically similar a planetary-mass object is to Earth. It is a scale from zero to one, with Earth having a value of one. The ESI was designed to measure planets, but the formula can also be applied to large natural satellites and other objects. The ESI is a function of the planet’s radius, density, escape velocity, and surface temperature.</p>
<p>You can try to search whatever you want just by clicking on the “<a href="http://www.fxsolver.com/browse/" title="Browse fxSolver Formulas">Browse Formulas</a>” button on the top left of your screen. </p>
<p>If you need any help, you will find some in our <a href="http://www.fxsolver.com/blog/2015/06/09/fxsolvers-video/" title="video">fxSolver video</a>.<br />Also remember to follow or interact with us in our <strong>social media pages</strong>. You will find links below.</p>
dtrangalos@gmail.com (Dimitris)Wed, 04 May 2016 11:41:08 +0000https://www.fxsolver.com/blog/2016/05/04/top-8-biology-formulas/Top 10 Thermodynamics formulas
https://www.fxsolver.com/blog/2016/04/25/top-10-thermodynamics-formulas/<p>
Thermodynamics! An awesome field, with many important equations. We gathered the top 10 of these formulas, just for you!</p><br /><p>
<strong> <a href="http://www.fxsolver.com/browse/formulas/Thermal+Conductivity+-+heat+flow+rate" title="More info about this formula">1. Thermal Conductivity – heat flow rate</a></strong></p><br /><p> <img src="http://www.fxsolver.com/media/wiki/Thermal_Conductivity_heat_flow_rate.PNG" title="Thermal Conductivity" alt="Thermal Conductivity" />
In physics, thermal conductivity is the property of a material to conduct heat. It is evaluated primarily in terms of Fourier’s Law for heat conduction. Heat transfer occurs at a higher rate across materials of high thermal conductivity than across materials of low thermal conductivity. Correspondingly materials of high thermal conductivity are widely used in heat sink applications and materials of low thermal conductivity are used as thermal insulation. </p><br /><p>
<strong><a href="http://www.fxsolver.com/browse/formulas/Sensible+Heat" title="More info about this formula">2. Sensible Heat</a></strong></p><br /><p><img src="http://www.fxsolver.com/media/wiki/Sensible_Heat.PNG" title="Sensible Heat" alt="Sensible Heat" />
Sensible heat is heat exchanged by a body or thermodynamic system that changes the temperature, and some macroscopic variables of the body, but leaves unchanged certain other macroscopic variables, such as volume or pressure.The term is used in contrast to a latent heat, which is the amount of heat exchanged that is hidden, meaning it occurs without change of temperature. For example, during a phase change such as the melting of ice, the temperature of the system containing the ice and the liquid is constant until all ice has melted.</p><br /><p>
<strong> <a href="http://www.fxsolver.com/browse/formulas/Latent+Heat" title="More info about this formula">3. Latent Heat</a></strong></p><br /><p><img src="http://www.fxsolver.com/media/wiki/Latent_Heat_1.PNG" title="Latent Heat" alt="Latent Heat" />
The terms latent and sensible are correlative. That means that they are defined as a pair, depending on which other macroscopic variables are held constant during the process.<br />
Latent heat is the energy released or absorbed by a body or a thermodynamic system during a constant-temperature process. A typical example is a change of state of matter, meaning a phase transition such as the melting of ice or the boiling of water. A specific latent heat (L) expresses the amount of energy in the form of heat (Q) required to completely effect a phase change of a unit of mass (m), usually 1kg, of a substance as an intensive property. Intensive properties are material characteristics and are not dependent on the size or extent of the sample.</p><br /><p>
<strong><a href="http://www.fxsolver.com/browse/formulas/Thermal+efficiency+of+a+heat+engine" title="More info about this formula">4. Thermal efficiency of a heat engine</a></strong></p><br /><p><img src="http://www.fxsolver.com/media/wiki/Thermal_Efficiency_of_a_heat_engine_1.PNG" title="Thermal efficiency of a heat engine" alt="Thermal efficiency of a heat engine" />
Heat engines transform thermal energy, or heat into mechanical energy, or work. They cannot do this task perfectly, so some of the input heat energy is not converted into work, but is dissipated as waste heat into the environment. The thermal efficiency of a heat engine is the percentage of heat energy that is transformed into work.</p><br /><p>
<strong><a href="http://www.fxsolver.com/browse/formulas/Thermal+energy+of+an+ideal+gas" title="More info about this formula">5. Thermal energy of an ideal gas</a></strong></p><br /><p><img src="http://www.fxsolver.com/media/wiki/Thermal_energy_of_an_ideal_gas.PNG" title="Thermal Energy of an ideal gas" alt="Thermal Energy of an ideal gas" />
Thermal energy is a term sometimes used to refer to the internal energy present in a system in a state of thermodynamic equilibrium by virtue of its temperature. The average translational kinetic energy possessed by free particles in a system of free particles in thermodynamic equilibrium (as measured in the frame of reference of the center of mass of that system) may also be referred to as the thermal energy per particle. The ideal gas is a gas of particles considered as point objects of perfect spherical symmetry that interact only by elastic collisions and fill a volume such that their mean free path between collisions is much larger than their diameter. The total thermal energy of a gas consisting of N atoms is given by the sum of kinetic energies of the particles , assuming no losses to the container or the environment</p><br /><p>
<strong><a href="http://www.fxsolver.com/browse/formulas/Enthalpy" title="More info about this formula">6. Enthalpy</a></strong></p><br /><p><img src="http://www.fxsolver.com/media/wiki/Enthalpy.PNG" title="Enthalpy" alt="Enthalpy" />
Enthalpy is a defined thermodynamic potential, that consists of the internal energy of the system (U) plus the product of pressure (p) and volume (V) of the system. It includes the internal energy, which is the energy required to create a system, and the amount of energy required to make room for it by displacing its environment and establishing its volume and pressure. It also change accounts for energy transferred to the environment at constant pressure through expansion or heating.</p><br /><p>
<strong><a href="http://www.fxsolver.com/browse/formulas/Gay-Lussac%27s+Law+%28Pressure-temperature+law%29" title="More info about this formula">7. Gay-Lussac's Law (Pressure-temperature law)</a></strong></p><br /><p><img src="http://www.fxsolver.com/media/wiki/Gay_-_Lussacs_Law.PNG" title="Gay Lussacs Law" alt="Gay Lussacs Law" />
The pressure of a gas of fixed mass and fixed volume is directly proportional to the gas’ absolute temperature. If a gas’s temperature increases, then so does its pressure if the mass and volume of the gas are held constant.<br />
This law holds true because temperature is a measure of the average kinetic energy of a substance; as the kinetic energy of a gas increases, its particles collide with the container walls more rapidly, thereby exerting increased pressure.</p><br /><p>
<strong><a href="http://www.fxsolver.com/browse/formulas/Joule%27s+first+law" title="More info about this formula">8. Joule's first law</a></strong></p><br /><p><img src="http://www.fxsolver.com/media/wiki/Joules_First_Law.PNG" title="Joules First Law" alt="Joules First Law" />
Joule heating , is the process by which the passage of an electric current through a conductor releases heat. It is depending on the resistance of the conductor, the current and the time. Although, it is independent of the direction of current. Joule heating is caused by interactions between the moving particles that form the current (usually, but not always, electrons) and the atomic ions that make up the body of the conductor. Charged particles in an electric circuit are accelerated by an electric field but give up some of their kinetic energy each time they collide with an ion. The increase in the kinetic or vibrational energy of the ions manifests itself as heat and a rise in the temperature of the conductor. </p><br /><p>
<strong><a href="http://www.fxsolver.com/browse/formulas/Boltzmann%27s+Entropy+Formula" title="More info about this formula">9. Boltzmann's Entropy Formula</a></strong></p><br /><p><img src="http://www.fxsolver.com/media/wiki/Boltzmans_Etropy_Formula.PNG" title="Boltzmans Entropy Formula" alt="Boltzmans Entropy Formula" />
Boltzmann’s equation is a probability equation relating the entropy S of an ideal gas to the quantity W, which is the number of microstates corresponding to a given macrostate.<br />
In short, the Boltzmann formula shows the relationship between entropy and the number of ways the atoms or molecules of a thermodynamic system can be arranged. </p><br /><p>
<strong><a href="http://www.fxsolver.com/browse/formulas/Van+der+Waals+equation+of+state" title="More info about this formula">10. Van der Waals equation of state</a></strong></p><br /><p><img src="http://www.fxsolver.com/media/wiki/Van_der_Waals_equation_of_state.PNG" title="Van der Waals equation" alt="Van der Waals equation" />
The van der Waals equation may be considered as the ideal gas law, “improved” due to two independent reasons: Molecules are thought as particles with volume, not material points and while ideal gas molecules do not interact, we consider molecules attracting others within a distance of several molecules’ radii.</p>
<p>You can try to search whatever you want just by clicking on the “<a href="http://www.fxsolver.com/browse/" title="Browse fxSolver Formulas">Browse Formulas</a>” button on the top left of your screen. </p>
<p>If you need any help, you will find some in our <a href="http://www.fxsolver.com/blog/2015/06/09/fxsolvers-video/" title="video">fxSolver video</a>.<br />Also remember to follow or interact with us in our <strong>social media pages</strong>. You will find links below.</p>
dtrangalos@gmail.com (Dimitris)Mon, 25 Apr 2016 14:01:44 +0000https://www.fxsolver.com/blog/2016/04/25/top-10-thermodynamics-formulas/Top 8 Geography Formulas
https://www.fxsolver.com/blog/2016/04/21/top-8-geography-formulas/ <p>Yup, you read correct. Geography has formulas and some of them are really awesome! </p>
<p><a href="http://www.fxsolver.com/browse/formulas/Clairaut%27s+theorem" title="Clairaut's theorem"><strong>1. Clairaut’s theorem</strong></a> </p>
<p><img src="http://www.fxsolver.com/media/wiki/Clairaut.PNG" title="Clairaut's theorem" alt="Clairaut's theorem" /> </p>
<p>Clairaut’s theorem is a general mathematical law applying to spheroids of revolution. The formula can be used to relate the gravity at any point on the Earth’s surface to the position of that point, allowing the ellipticity of the Earth to be calculated from measurements of gravity at different latitudes. Clairaut’s formula is giving the acceleration due to gravity g on the surface of a spheroid at latitude φ. Apart from geography It is also used a lot in astrodynamics.</p>
<p><a href="http://www.fxsolver.com/browse/formulas/Geocentric+radius+of+the+Earth" title="Geocentric radius of the earth"><strong>2. Geocentric radius of the Earth</strong></a> </p>
<p><img src="http://www.fxsolver.com/media/wiki/Geocentric_radius_of_the_earth.PNG" title="Geocentric radius of the earth" alt="Geocentric radius of the earth" /> </p>
<p>Geodetic latitude is the angle between the normal and the equatorial plane. The distance from the Earth’s center to a point on the spheroid surface at a defined geodetic latitude is the Geocentric radius of the Earth.</p>
<p><a href="http://www.fxsolver.com/browse/formulas/Lambert+cylindrical+equal-area+projection%28X-coordinate%29" title="Lambert Cylindrical equal area projection X "><strong>3. Lambert cylindrical equal-area projection(X-coordinate)</strong></a></p>
<p><img src="http://www.fxsolver.com/media/wiki/Lambert_Cylindrical_projection.PNG" title="Lambert cylindrical equal- area projection X" alt="Lambert cylindrical equal- area projection X" /></p>
<p>In cartography, the Lambert cylindrical equal-area projection, or Lambert cylindrical projection, is a cylindrical, equal area map projection. It is a member of the cylindrical equal-area projection family. This projection is undistorted along the equator, which is its standard parallel, but distortion increases rapidly towards the poles. Like any cylindrical projection, it stretches parallels increasingly away from the equator. The poles accrue infinite distortion, becoming lines instead of points.</p>
<p><a href="http://www.fxsolver.com/browse/formulas/Lambert+cylindrical+equal-area+projection%28Y-coordinate%29" title="Lamberd cylindrical equal- area projection Y"><strong>4. Lambert cylindrical equal-area projection(Y-coordinate)</strong></a></p>
<p><img src="http://www.fxsolver.com/media/wiki/Lambert_cylindrical_equal-area_projectionY.PNG" title="Lambert cylindrical equal-area projection Y" alt="Lambert cylindrical equal-area projection Y" /></p>
<p>The twin brother of the previous equation. Both Lambert cylindrical equal-area projection formulas, like any cylindrical projection, they stretch parallels increasingly away from the equator. The poles accrue infinite distortion, becoming lines instead of points.</p>
<p><a href="http://www.fxsolver.com/browse/formulas/Runoff+curve+number" title="Runnoff curve number"><strong>5. Runoff curve number</strong></a></p>
<p><img src="http://www.fxsolver.com/media/wiki/Runoff_curve_number.PNG" title="Runoff curve number" alt="Runoff curve number" /></p>
<p>Surface runoff is the water flow that occurs when the soil is infiltrated to full capacity and excess water from rain. The runoff curve number (also called a curve number or simply CN) is an empirical parameter used in hydrology for predicting direct runoff or infiltration from rainfall excess. CN has a range from 30 to 100. Lower numbers indicate low runoff potential while larger numbers are for increasing runoff potential. The lower the curve number, the more permeable the soil is. This formula is also used in Fluid dynamics, geology and mechanical engineering. </p>
<p><a href="http://www.fxsolver.com/browse/formulas/Standard+deviation+calculator" title="Standrad Deviation calculator"><strong>6. Standard deviation calculator</strong></a></p>
<p><img src="http://www.fxsolver.com/media/wiki/Standard_deviation_Calculator.PNG" title="Standard deviation Calculator" alt="Standard deviation Calculator" /></p>
<p>Calculates the standard deviation (SD) of a series of numbers (x).<br />It is also used in statistics, where it is a measure that is used to quantify the amount of variation or dispersion of a set of data values. The standard deviation of a random variable, statistical population, data set, or probability distribution is the square root of its variance. All these as you already got, are super useful in geography, just like the next equation. </p>
<p><a href="http://www.fxsolver.com/browse/formulas/Arithmetic+Mean" title="Arithmetic Mean"><strong>7. Arithmetic Mean</strong></a> </p>
<p><img src="http://www.fxsolver.com/media/wiki/Arithmetic_Mean.PNG" title="Arithmetic Mean" alt="Arithmetic Mean" /></p>
<p>Arithmetic mean is the sum of a collection of numbers divided by the number of numbers in the collection. The collection is often a set of results of an experiment, or a set of results from a survey and it is used a lot in Geography as well. The arithmetic mean is the measure of the central tendency of a probability distribution or of the random variable characterized by that distribution.</p>
<p><a href="http://www.fxsolver.com/browse/formulas/Variance+%28regarding+to+the+arithmetic+mean%29" title="Variance "><strong>8. Variance (regarding to the arithmetic mean)</strong></a></p>
<p><img src="http://www.fxsolver.com/media/wiki/Variance_regarding_to_the_arithmetic_mean.PNG" title="Variance " alt="Variance " /></p>
<p>Completing the set of Statistic related geography formulas, we introduce variance. The variance measures how far a set of numbers of n equally likely values is spread out. A small variance indicates that the data tend to be very close to the mean (expected value) and hence to each other, while a high variance indicates that the data are very spread out around the mean and from each other.</p>
<p>You can try to search whatever you want just by clicking on the “<a href="http://www.fxsolver.com/browse/" title="Browse fxSolver Formulas">Browse Formulas</a>” button on the top left of your screen. </p>
<p>If you need any help, you will find some in our <a href="http://www.fxsolver.com/blog/2015/06/09/fxsolvers-video/" title="video">fxSolver video</a>.<br />Also remember to follow or interact with us in our <strong>social media pages</strong>. You will find links below.</p>
dtrangalos@gmail.com (Dimitris)Thu, 21 Apr 2016 12:03:31 +0000https://www.fxsolver.com/blog/2016/04/21/top-8-geography-formulas/Top 10 Optics formulas
https://www.fxsolver.com/blog/2016/04/12/top-10-optics-formulas/ <p>Lists and Dummy guides of useful stuff are always great. Lists of formulas and equations are educational as well. <br />Here is the first list of top Equations, powered by the fxSolver team.<br />Behold, the Top 10 Optics equations. </p>
<p><img src="http://www.fxsolver.com/media/wiki/Snells_law.PNG" title="Snell's Law Equation" alt="Snell's Law Equation" /> 1. <strong><a href="http://www.fxsolver.com/browse/formulas/Snell%27s+law++%28velocities%29" title="Snell's law">Snell’s law</a></strong> <br />It is a formula used to describe the relationship between the angles of incidence and refraction, when referring to light or other waves passing through a boundary between two different isotropic media, such as water, glass and air. </p>
<p><img src="http://www.fxsolver.com/media/wiki/Refractive_Index.PNG" title="Refractive Index" alt="Refractive Index" /> 2. <strong><a href="http://www.fxsolver.com/browse/formulas/Refractive+Index+%28+absolute+index+of+refraction+%29" title="Refractive Index">Refractive Index</a></strong><br />The refractive index or index of refraction of a substance is a dimensionless number that describes how light, or any other radiation, propagates through that medium. The refractive index determines how much light is bent, or refracted, when entering a material. </p>
<p><img src="http://www.fxsolver.com/media/wiki/Thin_Lens_Formula.PNG" title="Thin lens formula" alt="Thin lens formula" /> 3. <strong><a href="http://www.fxsolver.com/browse/formulas/Thin+lens+formula" title="Thin lens formula">Thin lens formula</a></strong> <br />Also known as Image location formula. It basically sais that if the distances from the object to the lens and from the lens to the image are S1 and S2 respectively, for a lens of negligible thickness, in air, the distances are related to the length of the focus of the lens.</p>
<p><img src="http://www.fxsolver.com/media/wiki/Periodic_Wavelength.PNG" title="Periodic Wavelength" alt="Periodic Wavelength" /> 4. <strong><a href="http://www.fxsolver.com/browse/formulas/Wavelength+-+Sinusoidal+Wave" title="Wavelnght equation">Periodic Wavelength</a></strong><br />It is used for other kinds of waves as well. In linear media, any wave pattern can be described in terms of the independent propagation of sinusoidal components. The wavelength λ of a sinusoidal waveform traveling at constant speed v is given by this equation. </p>
<p><img src="http://www.fxsolver.com/media/wiki/Frequency.PNG" title="Frequency equation" alt="Frequency equation" /> 5. <strong><a href="http://www.fxsolver.com/browse/formulas/Frequency" title="Frequency equation">Frequency</a></strong><br />This equation couldn’t be absent from this list. Frequency is the number of occurrences of a repeating event per unit time.It is also referred to as temporal frequency, which emphasizes the contrast to spatial frequency and angular frequency. The period is the duration of one cycle in a repeating event, so the period is the reciprocal of the frequency.</p>
<p><img src="http://www.fxsolver.com/media/wiki/Polarization_angle.PNG" title="Polarization angle" alt="Polarization angle" /> 6. <strong><a href="http://www.fxsolver.com/browse/formulas/Polarization+angle+%28Brewster%27s+angle%29" title="Polarization angle">Polarization angle – Brewster’s angle</a></strong><br />The angle of incidence at which light with a particular polarization is perfectly transmitted through a transparent dielectric surface, with no reflection. When unpolarized light is incident at this angle, the light that is reflected from the surface is therefore perfectly polarized.</p>
<p><img src="http://www.fxsolver.com/media/wiki/Parallax.PNG" title="Parallax Equation" alt="Parallax Equation" /> 7. <strong><a href="http://www.fxsolver.com/browse/formulas/Parallax" title="Parallax">Parallax</a></strong><br />Apart from the fact that Parallax is an <a href="https://en.wikipedia.org/wiki/Parallax_(comics)" title="Parallax Supervillain">awesome supervillain name</a>, is also a displacement or difference in the apparent position of an object viewed along two different lines of sight, and is measured by the angle or semi-angle of inclination between those two lines.</p>
<p><img src="http://www.fxsolver.com/media/wiki/magnification_of_the_telescope.PNG" title="magnification of the telescope" alt="magnification of the telescope" /> 8. <strong><a href="http://www.fxsolver.com/browse/formulas/Magnification+of+the+telescope" title="magnification of the Telescope">Magnification of the telescope</a></strong><br />The angular magnification of the telescope is related to the focal length of the objective lens and the focal length of the eyepiece. Optical magnification is the ratio between the apparent size of an object and its true size, and thus it is a dimensionless number.</p>
<p><img src="http://www.fxsolver.com/media/wiki/Depth_of_field.PNG" title="Depth of field Equation" alt="Depth of field Equation" /> 9. <strong><a href="http://www.fxsolver.com/browse/formulas/Depth+of+field+%28Hyperfocal+distance%29" title="Depth of field">Depth of field</a></strong><br />In optics, particularly as it relates to film and photography, depth of field is the distance between the nearest and farthest objects in a scene that appear acceptably sharp in an image. (You can find a more detailed blog post about the Depth of field <a href="http://www.fxsolver.com/blog/2015/08/04/depth-field/" title="Depth of field">here</a>) </p>
<p><img src="http://www.fxsolver.com/media/wiki/Malus_Law.PNG" title="Malu's law" alt="Malu's law" /> 10. <strong><a href="http://www.fxsolver.com/browse/formulas/Malus%27+law+%28polarized+light%29" title="Malu's Law">Malu’s law</a></strong><br />This equation describes the intensity of the light that passes through a perfect polarizer when it is placed in a polarized beam of light. </p>
<p>A full list of Optics formulas in fxSolver’s database can be found <strong><a href="http://www.fxsolver.com/browse/?oc=3&cat=20" title="Optics equations full list">here</a>.</strong> </p>
<p>Also try to search whatever you want just by clicking on the “<a href="http://www.fxsolver.com/browse/" title="Browse fxSolver Formulas">Browse Formulas</a>” button on the top left of your screen. </p>
<p>If you need any help, you will find some in our <a href="http://www.fxsolver.com/blog/2015/06/09/fxsolvers-video/" title="video">fxSolver video</a>.<br />Also remember to follow or interact with us in our <strong>social media pages</strong>. You will find links below.</p>
dtrangalos@gmail.com (Dimitris)Tue, 12 Apr 2016 11:50:02 +0000https://www.fxsolver.com/blog/2016/04/12/top-10-optics-formulas/Superhero Science - Batman
https://www.fxsolver.com/blog/2016/04/01/superhero-science-batman/ <p>Batman V Superman movie is finally out! </p>
<p>Some people loved it, many people hated it! <br />Personally, I will admit that Ben Affleck was a good Batman and an even better Bruce Wayne. Superman was great at the looks as always. Obviously, all the budget of the movie was spent for their salaries and some visual effects, and WB didn’t have any money to get a writer. And when Bill from accounting writes your most anticipated movie’s script, you get… that (Martha? Why did you say Martha? Who calls his mother with her name?). </p>
<p>Anyway. One of the most famous gadgets Batman is using frequently is his grappling hook. Apart from climbing, he uses it to avoid falling to the ground and he often saves falling- from-the-air civilians. <br />These moments in Batman movies bring up arguments about if they are possible and what damage they would cause to Bruce Wayne. <br />We, the fxSolver team, are not going to use standard force equations to get Force results, but the <a href="http://www.fxsolver.com/browse/formulas/Fall+Impact+Force" title="Fall Impact Force ">Fall Impact Force formula</a>. </p>
<p>In lead climbing using a dynamic rope, the fall factor (f) is the ratio of the height (h) a climber falls before the climber’s rope begins to stretch and the rope length (L) available to absorb the energy of the fall.<br />The impact force is defined as the maximum tension in the rope when a climber falls.</p>
<p>First we need to find the only value we don’t already know for the fall impact force equation. <br />k, the <strong>spring constant of the rope</strong>. <br />For this we will use the <a href="http://www.fxsolver.com/browse/formulas/%CE%91xial+stiffness+for+an+element+in+tension" title="Spring constant of the rope">Axial stiffness for an element in tension</a> formula.</p>
<p><img src="http://www.fxsolver.com/media/wiki/Batman-1.jpg" title="Spring Constant of the rope" alt="Spring Constant of the rope" /></p>
<p>For our convenience we are going to assume that the length of Batman’s rope is 50m, and the <a href="http://www.fxsolver.com/browse/formulas/Young%27s+Modulus" title="Young's Modulus Equation">Young’s modulus</a> (E) is 29Gps (for a steel rope <a href="https://en.wikipedia.org/wiki/Young%27s_modulus" title="Wikipedia Young Modulus Table">according to Wikipedia’s Young’s Modulus table</a>).</p>
<p><img src="http://www.fxsolver.com/media/wiki/Batman-2.jpg" title="Fall Impact Force Batman Rope" alt="Fall Impact Force Batman Rope" /></p>
<p>After calculating the whole thing we get that <strong>Fmax=11504.5 N.</strong> <br />Which means that at that point Batman alone, <strong>weighs 1173.1 Kg = 1,17 Tons.</strong> </p>
** Insert Joke for the Super Strength of his right arm here **
<p>The <a href="http://www.fxsolver.com/solve/share/U1G4FJE9UlmtLgtExKb9bA==/" title="Batman's Grappling hook paradox">Batman’s Grappling hook Paradox solve can be found here</a>, and you can also check our previous post about <a href="http://www.fxsolver.com/blog/2016/03/24/superhero-science-superman/" title="Superman ">Superman</a> and <a href="http://www.fxsolver.com/blog/2016/03/21/superhero-science-magneto/" title="Magneto science">Magneto</a>. </p>
<p>If you have any trouble understanding how to use fxSolver, <a href="https://www.youtube.com/watch?v=F6ktglIE05s" title="fxSolver Video">watch our video here</a>.</p>
dtrangalos@gmail.com (Dimitris)Fri, 01 Apr 2016 11:24:39 +0000https://www.fxsolver.com/blog/2016/04/01/superhero-science-batman/Superhero Science - Superman
https://www.fxsolver.com/blog/2016/03/24/superhero-science-superman/ <p>World premiere today for the new Batman V Superman movie, one of the most anticipated movies of the year with the controversial casting of Ben Affleck as Batman. <br />So, for our “Superhero Science” series 2nd post we are analizing a scene from the first Superman movie. Not the 2013 Man of Steel, but the 1978 classic – Superman. <br />Lets watch this scene together </p>
<p><iframe width="560" height="315" src="https://www.youtube.com/embed/jCLi3_-iXHk" frameborder="0" allowfullscreen></iframe></p>
<p>Lois Lane is falling from a building and Superman catches her in the air. So far so good right? <br /><strong>WRONG!</strong> </p>
<p>Let me calculate some stuff and we will get to the wrong part.<br />I am interested in finding the velocity she had the moment she touched Man of Steel’s arms. <br />This equation, called “<a href="http://www.fxsolver.com/browse/formulas/Freefall+in+Uniform+Gravitational+Field+with+Air+Resistance+%28velocity%29" title="Freefall velocity">Freefall in Uniform Gravitational Field with Air resistance</a>” is going to do the trick. </p>
<p>But first we need to determine the Terminal Speed <strong>Uinf</strong>. </p>
<p>For that we are will need the help of the “<a href="http://www.fxsolver.com/browse/formulas/Terminal+Velocity+%28without+considering+buoyancy%29" title="Terminal velocity ">Terminal Velocity</a>” formula. <br />To solve this, at first we will say that the <a href="http://www.engineeringtoolbox.com/drag-coefficient-d_627.html" title="Drag Coefficient">drag coefficient (Cd) is 1.3</a>, the <a href="https://en.wikipedia.org/wiki/Density_of_air" title="Air Density">density of the air</a> is 1.225. <br />Also, by a Google search and a rough estimation we say that Lois weighs 55Kg and she is <a href="http://www.imdb.com/name/nm0452288/bio" title="Margot Kidder Height">1.68m tall</a>. </p>
<p>With the use of this equation we determine the <a href="http://www.fxsolver.com/browse/formulas/Body+Surface+Area+-+Du+Bois" title="Body Surface area">Body Surface Area</a> which is “A” in the terminal velocity formula. </p>
<p><img src="http://www.fxsolver.com/media/wiki/Superman_BSA.PNG" title="BSA" alt="BSA" /></p>
<p>Then applying all the above at the Terminal Velocity formula we get this:</p>
<p><img src="http://www.fxsolver.com/media/wiki/Superman_Terminal_Velocity.PNG" title="Terminal Velocity" alt="Terminal Velocity" /></p>
<p>Lastly, with the help of fxSolver’s solver, we combine these 3 formulas <a href="http://www.fxsolver.com/solve/share/uDcpjgYQnC2Sh1b2VronWw==/" title="fxSolver Solve">as you can see here</a>, and we get the result. </p>
<p><img src="http://www.fxsolver.com/media/wiki/Superman_Speed.PNG" title="Lois Speed" alt="Lois Speed" /></p>
<p>Lois lane the moment she lands on Superman’s arms she travels with a speed of <strong>20.55 m/s</strong>. <br />Which is equal to <strong>74km/h = 46mph.</strong> <br />Reminding you that Superman is the man of <span class="caps">STEEL</span>, let’s see what happens to a Fiat Panda when it hits Steel with 70km/h. </p>
<p>Now you know that despite Superman’s effort to stabilize himself on the air while catching her, she shouldn’t have been… intact at the end of that incident. </p>
<p><iframe width="560" height="315" src="https://www.youtube.com/embed/YJRojuNYaCg" frameborder="0" allowfullscreen></iframe></p>
<p>If you want to do some stuff like these yourself, you will find some help in our fxSolver video.<br />Also remember to follow or interact with us in our social media pages. You will find links below.</p>
dtrangalos@gmail.com (Dimitris)Thu, 24 Mar 2016 18:11:40 +0000https://www.fxsolver.com/blog/2016/03/24/superhero-science-superman/Superhero Science - Magneto
https://www.fxsolver.com/blog/2016/03/21/superhero-science-magneto/ <p>In October, I made a post for an awesome <a href="http://www.fxsolver.com/blog/2015/10/16/thors-hammer-and-magnetic-fields/" title="Thors Hammer fxSolver">Thor Hammer, Allen Pan made basically to prank people</a>! That hammer was magnetic, so is the core of Magneto’s powers (who was in big trouble in that post’s comic strip). <br />Trying to write something cool about Magneto, I came up with the idea of a Series of Posts regarding <strong>Superheroes and Science</strong>. I proudly present you the first one, featuring <strong>Magneto the master of magnetism</strong>!</p>
<p><a href="https://en.wikipedia.org/wiki/Magneto_(comics)" title="Magneto Wiki"><strong>Magneto</strong></a>, who is the archenemy of the X-men, is a mutant who found out about his powers in a Nazi Concentration camp where he was held. <br /><a href="http://marvel.com/universe/Magneto_(Max_Eisenhardt)" title="Magneto Marvel ">Magneto’s</a> primary application of his power is control over magnetism and the manipulation of ferrous and nonferrous metal. While the maximum amount of mass he can manipulate at one time is unknown in the X-Men movie <a href="http://www.imdb.com/title/tt1877832/" title="X-Men Days of the future past">Days of the future past</a> he lifted <a href="http://www.businessinsider.com/x-men-days-of-future-past-baseball-stadium-magneto-2014-5" title="Which stadium did magneto lift?">Robert F. Kennedy Memorial Stadium</a> which has the capacity of 56.700 people, in order to use it on attacking the White House (Unfortunately neither <a href="http://www.imdb.com/title/tt2302755/" title="Olympus Has Fallen">Gerard Buttler</a> was there, nor <a href="http://www.imdb.com/title/tt2334879/?ref_=nm_flmg_act_15" title="White House Down">Channing Tatum</a>).</p>
<p><img src="http://www.fxsolver.com/media/wiki/Magneto_Lifts.gif" title="Magneto Lifts Stadium gif" alt="Magneto Lifts Stadium gif" /></p>
<p><a href="https://en.wikipedia.org/wiki/Allianz_Arena" title="Allianz Arena Wiki">Allianz Arena</a> in Germany, can host 70.000 people and <a href="https://www.reddit.com/r/estimation/comments/28lwls/how_much_does_a_baseball_stadium_weigh_without/" title="Allianz Arena Mass">it is calculated</a> to weigh 620 million pounds (= 281 million Kg).<br />So we can estimate roughly that the Stadium Magneto lifted weighs 500 million pounds (= 226 million Kg).</p>
<br/>
<p>He also got it like 50 meters up in the air. That requires a certain amount of energy. Which is given by <a href="http://www.fxsolver.com/browse/formulas/Potential+energy" title="Potential Energy Equation">this equation</a>. By solving it as you see in the picture below we get that the energy required to lift that stadium 50m up in the air is <strong>110.815.145.000 Joules</strong>. </p>
<p><img src="http://www.fxsolver.com/media/wiki/Magnetos_Energy.PNG" title="Energy to lift a stadium" alt="Energy to lift a stadium" /></p>
<p>Lets also say that the master of Electromagnetism, is a human shaped <a href="https://en.wikipedia.org/wiki/Electromagnetic_coil" title="Coil Wiki">Coil</a>. Which means that he is a human size application of the <a href="http://www.fxsolver.com/browse/formulas/Coil+magnetic+energy" title="Coil Magnetic Energy">Coil magnetic energy equation</a>. <br />In order to Solve the <a href="http://www.fxsolver.com/browse/formulas/Coil+magnetic+energy" title="Coil Magnetic Energy">Coil magnetic energy equation</a> of Magneto, we need to know the <a href="http://www.fxsolver.com/browse/formulas/Inductance+of+a+solenoid+" title="Inductance">inductance</a> of his. The inductance of Magneto is given by <a href="http://www.fxsolver.com/browse/formulas/Inductance+of+a+solenoid+" title="Inductance Formula">this formula</a>. <br />Solving it in the fxSolver tool we get that Magneto’s L = 0.01H. </p>
<p><img src="http://www.fxsolver.com/media/wiki/Magnetos_Indundance.PNG" title="Magneto's Inductance" alt="Magneto's Inductance" /></p>
<p>Applying all the data in the Coil magnetic energy equation we get that Magneto can generate at least current around <strong>4.707.762 Amps</strong>. </p>
<p><img src="http://www.fxsolver.com/media/wiki/Magnetos_Currnet.PNG" title="Magneto's Current" alt="Magneto's Current" /></p>
<p>An energy hungry household needs approximately 200 amps to function. <strong>This means that Magneto can generate the electric current required for a small town</strong>. </p>
<p><a href="http://www.fxsolver.com/solve/share/Q35df2J0H_qtuVduft4vUQ==/" title="Magneto's equations">Here</a> you can find all the formulas we used in this post. You will find some help in our <a href="http://www.fxsolver.com/blog/2015/06/09/fxsolvers-video/" title="video">fxSolver video</a>.<br />Also remember to follow or interact with us in our <strong>social media pages</strong>. You will find links below.</p>
dtrangalos@gmail.com (Dimitris)Mon, 21 Mar 2016 17:12:05 +0000https://www.fxsolver.com/blog/2016/03/21/superhero-science-magneto/