A record player turntable initially rotating at \(33 \frac{1}{3} \mathrm{rev} / \mathrm{min}\) is braked to a stop at a constant rotational acceleration. The turntable has a rotational inertia of \(0.020 \mathrm{~kg} \cdot \mathrm{m}^{2}\). When it is switched off, it slows down to \(75 \%\) of its initial rotational speed in \(5.0 \mathrm{~s}\).

(a) How long does it take to come to rest?

(b) How much work has to be done on the turntable to bring it to rest?