The operation of the Princeton Tokomak Fusion Test Reactor requires large bursts of energy. The power needed exceeds the amount that can be supplied by the utility company. Prior to pulsing the reactor, energy is stored in a giant flywheel of mass 7.27 × 105 kg and rotational inertia 4.55 × 106 kg·m2. The flywheel rotates at a maximum angular speed of 386 rpm. When the stored energy is needed to operate the reactor, the flywheel is connected to an electrical generator, which converts some of the rotational kinetic energy into electric energy.
(a) If the flywheel is a uniform disk, what is its radius?
(b) If the flywheel is a hollow cylinder with its mass concentrated at the rim, what is its radius?
(c) If the flywheel slows to 252 rpm in 5.00 s, what is the average power supplied by the flywheel during that time?