A 60 Hz, 4Pole alternator rated 100MVA, 13.8 KV has an inertia constant of 10MJ/MVA. i) Find the stored kinetic energy in the rotor at synchronous speed at rated operating conditions. ii) If the input to the generator is suddenly raised to 60MW for an electrical load of 50 MW, then find the rotor acceleration. iii) If the rotor acceleration calculated in part (ii) is maintained for a duration of 12 cycles, find the change in torque angle, rotor speed, and frequency at the end of this period.