Physics - Rotation Question with Solution | TestHub

The power supplied to a rotating body is given by the product of torque and angular velocity:

$\mathrm{P}=\tau \omega$

According to Newton's second law for rotational motion, the torque is given by:

$\tau =\mathrm{I}\alpha$

Substituting the value of torque in the power equation, we get:

$\mathrm{P}=(\mathrm{I}\alpha )\omega$

Rearranging the equation to solve for the instantaneous angular velocity $\omega$:

$\omega =\frac{\mathrm{P}}{\mathrm{I}\alpha }=\mathrm{P}(\mathrm{I}\alpha {)}^{-1}$

Answer: $\mathrm{P}(\mathrm{I}\alpha {)}^{-1}$