1. A six-pole induction motor for vehicle traction has a 50-kW input electric power rating and is 85 percent efficient. If the supply is 220 V at 60 Hz, compute the motor speed and torque at a slip of 0.04.
2. An AC induction machine has six poles and is designed for 60-Hz, 240-V (rms) operation. When the machine operates with 10 percent slip, it produces 60 N-m of torque.
3. A four-pole, three-phase induction motor drives a turbine load. At a certain operating point the machine has 4 percent slip and 87 percent efficiency. The motor drives a turbine with torque-speed characteristic given by TL = 20 + 0.006ω2. Determine the torque at the motor-turbine shaft and the total power delivered to the turbine. What is the total power consumed by the motor?