Problem $1$ of $2$: $460$ V$,10$ hp$,4-$pole, wye$-$connected, insulation class F$,1\mathrm{.}15$ service factor induction motor has following: R $1=0\mathrm{.}54,$ X$1=2\mathrm{.}093,$ XM $=51\mathrm{.}12,$ X $2=3\mathrm{.}209,$ R$2=0\mathrm{.}488,$ P F&W $=150$ W$,$ P core $=150$ W$,$ and Pmisc $=50$ W$.$ For a slip of $0\mathrm{.}02,$ find the following: $($a$)$ line current, $($b$)$ stator power factor, $($c$)$ rotor power factor, $($d$)$ rotor frequency, $($e$)$ stator copper losses, $($f$)$ air$-$gap power, $($g$)$ power converted from electrical to mechanical form, $($h$)$ induced torque, $($i$)$ load torque, $($j$)$ overall efficiency, and