Physics - Rotation Question with Solution | TestHub

Power $P$ supplied to a rotating body is given by the product of torque $\tau$ and angular velocity $\omega$.

$P=\tau \omega$

The torque $\tau$ acting on the body is related to its moment of inertia $I$ and angular acceleration $\alpha$ by the relation:

$\tau =I\alpha$

Substituting the value of $\tau$ in the power equation:

$P=(I\alpha )\omega$

Rearranging for instantaneous angular velocity $\omega$:

$\omega =\frac{P}{I\alpha }$

Answer: $\frac{P}{I\alpha }$