Question $5($CLO:$5,7)$: $[10$ marks

A $10-hp$ four$-$pole $50-Hz$ three$-$phase induction motor runs at $1160$ rpm under full$-$load conditions.

a$)$ What is the synchronous speed of this motor? marks$]$

b$)$ What is the rotor speed of this motor when the slip is $4\%?$ marks$]$

c$)$ What is the slip of this motor if the rotor frequency is $3$ Hz $?|2||$ marks

d$)$ What is the shaft torque of this motor at full load? $[3$ marks$]$