Problem $2$: A $3-$phase induction motor with $6$ poles is connected to a voltage source with $v_s(t)=230cos(200t)V_{rms}.$ The motor has $R_s=6,R_r^{\text{'}}=1,x_s=15,x_r^{\text{'}}=1,$ and $x_m=90.$ In addition, the motor is spinning at a speed of $300$ rpm $.$ What is the output torque at the specified speed using the derived slip$/$torque equation for the motor assuming rotational losses are negligible? $(10$ points$)$