A four$-$pole squirrel$-$cage motor has the following characteristics:

Power input at a rated load is $5200$ W with a power factor of $0\mathrm{.}70.$

Rated speed is $1150$ rpm$.$

Resistance of each stator windings $($there are three$)$ is Rs $=0\mathrm{.}195.$

The motor is supplied by a three$-$phase source with a line$-$to$-$line voltage of $460$ V and a frequency of $50$ Hz $.$ The windings of the motor have a Y$-$connection. Determine:

$(1)$ The slip factor of the motor in percent

$(2)$ The line current drawn by the motor

$(3)$ The resistance losses in the stator

$(4)$ The efficiency losses of the motor if the core losses at the stator are $475$ W $($neglect the friction losses and other losses, including the resistance and core losses at the rotor$).$ The torque delivered by the motor in N$.$m$.$