Power
Power is the rate at which energy is transferred or converted.
Mathematically, power ($P$) is defined as the rate of doing work ($W$) over a time interval ($\Delta t$):
$$
P = \frac{W}{\Delta t}
$$
The unit of power is the watt (W), where 1 watt equals 1 joule per second (1 W = 1 J/s).
If a motor does 500 J of work in 10 seconds, its power is:
$$
P = \frac{500 \, \text{J}}{10 \, \text{s}} = 50 \, \text{W}
$$
This formula highlights the relationship between force, velocity, and power.
The formula $P = Fv$ is especially useful when a force acts in the same direction as the velocity, such as for vehicles cruising at steady speeds.
Efficiency
Efficiency quantifies how effectively a system converts input energy into useful output energy.
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Paywall
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