$6-5.$ A $208-$V$,$ four$-$pole, $60-$Hz$,$ Y$-$connected wound$-$rotor induction motor is rated at $30$ hp$.$ Its equivalent circuit components are Rl ~ $0\mathrm{.}1000$ Xl ~ $0\mathrm{.}2100$ P mech $=500$W For a slip of $0\mathrm{.}05,$ ti nd $($a$)$ The line CUlTent IL R$2$ ~ $0\mathrm{.}0700$ X$,$ ~ $0\mathrm{.}2100($b$)$ The stator copper losses P seL $($c$)$ The air$-$gap power PAG X$",$ ~ $10\mathrm{.}00$ Pc;orc $=400$ W $($d$)$ The power converted from electrical to mechanical form P eony $($e$)$ The induced torque 'rind $($f$)$ The load torque $\text{'}$T$]$oad $($g$)$ The overall machine efficiency $71($h$)$ The motor speed in revolutions per minute and radians per secon$.$If the motor in Problem $6-5$ is to be operated on a $50-$Hz power system, what must be done to its supply voltage? Why? What will the equivalent circuit component values be at $50$ Hz$?$ Answer the questions in Problem $6-5$ for operation at $50$ Hz with a Slip of $0\mathrm{.}05$ and the proper voltage for this machine.