An engine is fitted with a flywheel that has a mass of 22.5 kg and has a radius of gyration of 0.2 m. The load torque is constant and the crankshaft torque can be represented by the expression
Torque = 4a + a sin θ + a sin 2θ

where θ is the crank angle.
When the engine develops 7.5 kW at 600 revs/min, find:
(a) The crank angle at which the engine torque is equal to the load
torque
(b) The coefficient of cyclical speed fluctuation
(c) The maximum angular acceleration of the flywheel.