A three-phase 230 V, 30 hp, 60 Hz, six-pole induction motor is operating with a shaft load that requires 21.3 kW to cross the air gap to the rotor. Rotor copper loss 1.05 kW, and mechanical and stray load losses are 300 W. Determine:
a. shaft speed;
b. mechanical power developed;
c. developed torque;
d. shaft torque; and,
e. percent of rated hp the machine is required to deliver to the load