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Bradley model of the force applied on a contact area between two spheres

Contact mechanics is the study of the deformation of solids that touch each other at one or more points. When two solid surfaces are brought into close ... more

Gravitational Potential (spherical symmetry)

Within a uniform spherical body of radius R and density ρ the gravitational force g inside the sphere varies linearly with distance r from the center, ... more

Sphericity of soil particles (related to the volume)

Sphericity is a measure of how spherical (round) an object is. The sphericity of a sphere is 1 and, by the isoperimetric inequality, any particle which is ... more

Area of the spherical zone

Spherical zone is the surface of the solid defined by cutting a sphere with a pair of parallel planes excluding the top and bottom bases. The area can be ... more

Gravitational Binding Energy - spherical mass of uniform density

The gravitational binding energy of an object consisting of loose material, held together by gravity alone, is the amount of energy required to pull all of ... more

Spherical wedge (Area of the lune)

A spherical wedge or ungula is a portion of a ball bounded by two plane semidisks and a spherical lune (termed the wedge’s base). The angle between the ... more

Volume of Spherical segment

Spherical segment is the solid defined by cutting a sphere with a pair of parallel planes. The volume can be calculated by the radius of the spherical ... more

Volume of Spherical Dome (or cap)

The volume of the spherical dome, which is a portion of a sphere cut off by a plane, can be calculated by the radius of the base of the dome and the ... more

Stokes-Einstein equation

According to Stokes’ law, a perfect sphere traveling through a viscous liquid feels a drag force proportional to the frictional coefficient. The diffusion ... more

Volume of a hollow sphere

Calculates the volume of a hollow sphere. A sphere is a perfectly round geometrical and circular object in three-dimensional space that resembles the shape ... more

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