Which of the following is the correct expression for the instantaneous power $P$ delivered by a torq

Question

Which of the following is the correct expression for the instantaneous power $P$ delivered by a torque $	au$ to a rigid body rotating with angular velocity $\omega$ about a fixed axis?

Professor PC Thomas Classes · Answer

The work done by a torque is $dW = 	au d	heta$. Dividing both sides by the time interval $dt$ gives the instantaneous power $P = \frac{dW}{dt} = 	au \frac{d	heta}{dt} = 	au\omega$.