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Power gain (in nepers)

In electronics, gain is a measure of the ability of a two-port circuit (often an amplifier) to increase the power or amplitude of a signal from the input ... more

Luminosity of a star by the luminosity of the Sun relationship

Dividing the luminosity of a star by the luminosity of the Sun (also know as a solar luminosity) and cancelling constants, we obtain a relationship related ... more

AC Power

In alternating current circuits, energy storage elements such as inductance and capacitance may result in periodic reversals of the direction of energy ... more

Temprature of a planet

Black-body radiation is the thermal electromagnetic radiation within or surrounding a body in thermodynamic equilibrium with its environment, or emitted by ... more

Maximum thermal efficiency of an Otto cycle

The constant volume adiabatic flame temperature is the temperature that results from a complete combustion process that occurs without any work, heat ... more

Power (Voltage and Current)

Electric power is the rate at which electric energy is transferred by an electric circuit. Electric power is usually produced by electric generators, but ... more

Mechanical output power

The mechanical output power of the electric motor calculated by the output torque and angular velocity

... more

Output Voltage (voltage divider)

A voltage divider (potential divider) is a linear circuit that produces an output voltage that is a fraction of its input voltage. Voltage division refers ... more

Capacitive divider (only for AC)

A voltage divider (potential divider) is a linear circuit that produces an output voltage that is a fraction of its input voltage. Voltage division refers ... more

Worksheet 341

The awe‐inspiring Great Pyramid of Cheops was built more than 4500 years ago. Its square base, originally 230 m on a side, covered 13.1 acres, and it was 146 m high (H), with a mass of about 7×10^9 kg. (The pyramid’s dimensions are slightly different today due to quarrying and some sagging). Historians estimate that 20,000 workers spent 20 years to construct it, working 12-hour days, 330 days per year.

a) Calculate the gravitational potential energy stored in the pyramid, given its center of mass is at one-fourth its height.

Division
Potential energy

b) Only a fraction of the workers lifted blocks; most were involved in support services such as building ramps, bringing food and water, and hauling blocks to the site. Calculate the efficiency of the workers who did the lifting, assuming there were 1000 of them and they consumed food energy at the rate of 300 Kcal/hour.

first we calculate the number of hours worked per year.

Multiplication

then we calculate the number of hours worked in the 20 years.

Multiplication

Then we calculate the energy consumed in 20 years knowing the energy consumed per hour and the total hours worked in 20 years.

Multiplication
Multiplication

The efficiency is the resulting potential energy divided by the consumed energy.

Division

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