A $520$V$,185$Hz$,100$ hp$,$ three phase induction motor is drawing $127\mathrm{.}82$A at a $0\mathrm{.}8$ pf lagging. The stator copper losses are $7174\mathrm{.}49$ W$,$ and the rotor copper losses are $5739\mathrm{.}6$ W$.$ The friction and windage losses are $3209\mathrm{.}27$ W$,$ the core losses are $1375\mathrm{.}4$ W$,$ and the stray losses are negligible. Find the following quantities: $($N$.$B$.$ Remember that, in electric machines, the industry convention is that one hp is exactly $746$ watts.$)($N$.$B$.$ For this problem, consider that the core losses appear as in a transformer in an Rc in parallel with jXm$).($N$.$B$\mathrm{.}2.$ Remember that in a three phase equipment, the rated voltage listed above is line$-$to$-$line $520$ V$.)$