A large $7\mathrm{.}5$ MW$,$ three$-$phase, $6\mathrm{.}6$ kV$,50$ Hz$,4-$pole, induction motor is used in water treatment station to pump treated water to a reservoir. The per phase equivalent circuit parameters of the motor are as follows: R$1=0\mathrm{.}08,$ X$1=1\mathrm{.}4,$ Xm $=58,$ Rc $=750,$ X $2=1\mathrm{.}4$ and R $2=0\mathrm{.}085.$ The machine drives the pump at a speed of $1475$ rev$/$min$.$ Draw the approximate equivalent circuit of the machine and use it to calculate the corresponding values of $($i$)$ the motor$$s mechanical output power, $($ii$)$ stator current, $($iii$)$ the shaft torque developed by the motor, and $($iv$)$ stator power and reactive power. Calculate the rms starting current of the machine when started directly from the three$-$phase supply with no starting arrangement. Answers: $6304$ kW; $(685\mathrm{.}933\mathrm{.}07)$ A; $40\mathrm{.}8$ kNm; $6570$ kW$,4278$ kVar; $1427$ A$.$