A $460-$V$,75$ hp$,$ four$-$pole, Y$-$connected induction motor has the following parameters: R$1=0\mathrm{.}058,$ R$2=0\mathrm{.}037,$ XM $=9\mathrm{.}24,$ X$1=0\mathrm{.}320,$ X$2=0\mathrm{.}386,$ PF&W $=650$W$,$ Pmisc $=150$W$,$ Pcore$=600$kW$.$ For a slip of $0\mathrm{.}01,$ find: a$)$ The line current IL b$)$ The stator power factor c$)$ The rotor power factor d$)$ The rotor frequency e$)$ The stator copper losses PSCL f$)$ The air$-$gap power PAG g$)$ The power converted from electrical to mechanical form Pconv h$)$ The induced torque ind i$)$ The load torque load load j$)$ The overall machine efficiency k$)$ The motor speed in revolutions per minute and radians per second l$)$ Sketch the power flow diagram for this motor.