Question $3.(4$ points$)$ A $3-$phase, $22$ Hp$,460$ V $($line$-$to$-$line rms$),60$ Hz$,1160$ rpm induction motor has a starting current of $150$ A$.$ The ratio of the starting current and the full load supply current $($per$-$phase$)$ is $5.$ The input power factor $($PF$)$ is $0\mathrm{.}8$ lagging at the rated condition. The rotational losses are $1500$ W$.($a$)$ Determine the number of poles of the machine. $($b$)$ Determine the rated input power at the full load condition. $($c$)$ Determine the efficiency. $($d$)$ Determine the stator resistance $($per$-$phase$).$