A certain machine requires a torque of (2000 + 300 sin θ ) N-m to
drive it, where θ is the angle of rotation of its shaft measured from some datum. The machine is directly coupled to an electric motor developing uniform torque. The mean speed of the machine is 200 r.p.m. Find:
1. the power of the driving electric motor, and
2. the moment of inertia of the flywheel required to be used if the fluctuation of speed is limited to ±2% .
