A $3-$phase, $10-$pole, Y $-$connected, AC generator has a stator with $60$ slots, each slot contains $120$ conductors. The conductors of each phase are connected in series. The fiux per pole in the machine is $0\mathrm{.}05$ Wb $.$ The speed of rotation is $720$ RPM $.$

Calculate

$($a$)$ The frequency of the voltage produced in this winding $f_e=$ Hz

b$)$ The mechanical ${}_m$ and the electrical ${}_e$ angular speed in $ra\frac{d}{sec}?{}_m=ra\frac{d}{sec}$ : we $ra\frac{d}{sec}$

$($c$)$ The number of turns per phase $N=$ turns$/$phase

$($d$)$ The resulting RMS line voltage of this stator $=$ KV