Power and Efficiency

Power is known as the rate at which work is done:
$P=\frac{dU}{dt}=\vec{F}\cdot \vec{v}$

Summary bq

Power is measured in watts ($\text{W}=\text{J}/\text{s}$).

For a couple $M$ on a body rotating at $\omega$:
$P=M\omega$

Mechanical Efficiency

Mechanical efficiency of a machine is the ratio of the useful power produced (output power) to the power supplied (input power).
$ϵ=\text{(power output) / (power input)}$

Energy Loss

Machines will always lose energy due to frictional forces, which create heat. Additional power is required to overcome these forces.

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