A flywheel of mass 125 kg and radius of gyration 150 mm is accelerated from rest to a speed of 1280 rpm whilst making 500 revolutions. The motion is resisted by a friction torque of 2.5 Nm. Determine

(a) the angular acceleration,

(b) Moment of inertia

(c) the applied torque,

(d) the work done, and

(d) the maximum power developed by the driving motor.

Explain the effects of the energy changes during the acceleration.