Problem $1$ of $2$: Y$-$connected $8-$pole synchronous motor rated $2300$ v$,400$ hp$,60$ Hz$,0\mathrm{.}85$ lead pf with synchronous reactance and armature resistance of $112$ and $0\mathrm{.}8,$ respectively. Full load efficiency $90$ percent. If machine operating at full$-$load, find: $($a$)$ output torque, $($b$)$ input power, $($c$)$ nm $($d$)$ EA $($e$)$ IA$,($f$)$ Pcony, and $($g$)$ Pmech $+$ Pcore $+$ Pstray.