# Dynamics: Power

When you know the amount of energy that was required to move a particle you can then calculate the power that was used. Power is an integral of energy in respect to time. Refer to equation 1.

(1)

F = force

V = Velocity

P = Power

dU = Change in Energy

dt = Change in Time

Equation 1 represents the power input for a particle that has a linear projection. To calculate the power of a particle that has a rotational projection equation 2 would be used.

(2)

T = Torque

ω = angular velocity

The units that represent power can be seen in equation 3.

(3)

Finally, due to energy losses from friction or drag, the power that is put in will be more then the output power. To calculate the efficiency equation 4 would be used.

(4)

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