A 480V, 50Hz, Y-connected, 6-pole synchronous generator has a per-phase synchronous reactance of 12. Its full-load armature current is 60A at 0.8PF lagging. This generator has friction and windage losses of 1.5kW and core losses of 1 kW at 60Hz at full load. Since the armature resistance is being ignored, assume that the I'R losses are negligible. The field current has been adjusted so that the terminal voltage is 480V at no load. (a) What is the speed of rotation of this generator? (b) What is the terminal voltage of this generator if the following are true? 1. It is loaded with the rated current at 0.8 PF lagging. 2. It is loaded with the rated current at 1.0 PF. 3. It is loaded with the rated current at 0.8 PF leading. (c) What is the efficieny of this generator (ignoring the unknown electrical losses) when it is operating at the rated current and 0.8 PF lagging? (d) How much shaft torque must applied by the prime mover at full load? How large is the induced countertorque? (e) What is the voltage regulation of this generator at 0.8 PF lagging? At 1.0 PF? At 0.8 PF leading?