An induction motor is connected to a 3–phase line and runs at a synchronous speed of 1200 rpm. The copper loss and iron loss in the stator are totaled to 5 kW. As an engineer, you are required to provide the derivation, consideration and assumption that have been taken in your calculation. If the motor runs at 1152 rpm, determine: i. The active power transmitted to the rotor, P. ii. The rotor I 2R losses, Pjr. iii. The motor torque, Tm. iv. The mechanical power, Pm. v. The mechanical power delivered to a load Pi, knowing that the windage and friction losses are equal to 2 kW. vi. The efficiency of the motor, η