A large $3-$phase, $4160$ V$,60$ Hz$,$ squirrel$-$cage induction motor draws a current of $380$ Aand the total active power of $2600$ kW when operating at full$-$load. The correspondingspeed is accurately measured and is found to be $1188$ r$/$min$.$ The stator is connected inwye and the resistance between two stator terminals is $0\mathrm{.}24.$ The total iron losses are $28$ kW and the windage and friction losses are $17$ kW$.$Calculate the following:

A$.$ The power factor at full$-$load

B$.$ The active power supplied to the rotor

C$.$ The total I$2$R losses in the rotord. The load mechanical power $[$kW$],$ torque $[$kN$.$m$],$ and efficiency $[\%]$