Here is the text from the image:$---**$Example L$8-8[$PEO May $2012]**$A $480$V$,6-$pole, $60$ Hz$,$ Y$-$connected synchronous generator has a per$-$phase synchronous reactance $1$ per phase and negligible armature resistance. Its full$-$load armature current is $60$ A at a $0\mathrm{.}8$ power factor $($pf$)$ lagging. The generator has friction and windage losses of $1\mathrm{.}5$ kW$,$ and core losses of $1\mathrm{.}0$ kW at full load. The field current has been adjusted so that the no$-$load terminal voltage is $480$ V$.($a$)$ What is the speed of rotation of the generator?$($b$)$ What is the terminal voltage and voltage regulation of the generator if: $($i$)$ it is loaded with the rated current and $0\mathrm{.}8$ pf lagging; and, $($ii$)$ it is loaded with the rated current and $0\mathrm{.}8$ pf leading?$($c$)$ What is the efficiency of this generator when it is operating with rated current and the pf is $0\mathrm{.}8$ lagging?$($d$)$ How much shaft torque must be applied by a prime mover at full load?$---$