A $50-$kW$,460-$V$,50-$Hz$,$ two$-$pole induction motor has a slip of $5$ percent when operating at full$-$load conditions. At full$-$load conditions, the friction and wi ndage losses are $700$ W$,$ and the core losses are $600$ W$.$ Find the following values for fullload conditions: $($a$)$ The shaft speed $11",($b$)$ The output power in watts $($e$)$ The load torque 'Tload in newton$-$meters $($d$)$ The induced torque 'rind in newton$-$meters $($e$)$ The rotor frequency in hertz