Asingle$-$phase, $4-$pole synchronour generator w$/$R$,$ ~ O is directly driven by a prime mover at the speed wm $=1200.$

The out put port is loaded by a resistance Ri $=240-23$ an

inductance LL $=0\mathrm{.}4$ H$.,$ bothof which are connected in series.

Suppose that the synchronour reactance is Xs $=240-$R$,3$

the output voltage Va $=250$ v in rus value:

$($a$)$ What's the generator output trequency Ws in Hz$?$

$(6)$ Find the output power factor pit.;

$$Determine the torque angle Po ;

$$What$\text{'}$s the required driving torque Im for the synchronous generator?