Power is defined as the rate at which work is done. If an amount of work DW is done in a time interval Dt, then the average power is defined to be
The SI unit of power is J/s which is given the name watt (W) in the honour of James Watt.
Thus, 1 W = 1 J/s.
The instantaneous power is the limiting value of Pav as Dt ® 0; that is
The work done by force F on a object that has an infinitesimal displacement d is
dW = Since the velocity of the object is , the instantaneous power may be written as P = =
or P =
Since the work and energy are closely related, a more general definition of power is the rate of energy transfer from one body to another, or the rate at which energy is transformed from one form to another.
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