A $3-$phase, $6-$pole squirrel$-$cage induction motor, connected to a $60$ Hz$,$ possesses

a synchronous speed of $1200$ r$/$min$.$ The motor absorbs $48$ kW$,$ and the copper and

iron losses in the stator amount to $6$ kW and $1\mathrm{.}2$ kW$,$ respectively.

Calculate:

$(5)$ The power transmitted across the air gap.

$\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$ kW

$(6)$ The torque developed by the motor

$\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$ N$-$m