A $12-$pole, $50$Hz$,$ induction motor supplies $66$kW at a speed of $457$ rpm$.$ Answer the following questions:a$)$ What is the slip. b$)$ Under these conditions, what is the induced torque, in N$.$m$,$ in lb$-$ft$.$ c$)$ What is the new operating speed of the motor if the torque of the load is doubled $($consider that the motor is working in the low slip region$).$ d$)$ How much power will be supplied by the motor when the torque is doubled.