A $480-$V$,100-$kW$,50-$Hz$,$ four$-$pole, Y$-$connected synchronous motor has a rated power factor of $0\mathrm{.}85$ leading. At full load, the efficiency is $91$ percent. The armature resistance is $0\mathrm{.}08,$ and the synchronous reactance is $1\mathrm{.}0.$ Find the following quantities for this machine when it is operating at full load: $($a$)$ Output torque $($b$)$ Input power $($c$)$ nm $($d$)$ EA $($e$)|$IA$|($f$)$ Pconv $($g$)$ Pmech $+$ Pcore $+$ Pstray