A $240$ V $,$ six$-$pole, $50$ Hz $,$ single$-$phase induction

motor has the following parameters: r$\_(1)=2\mathrm{.}4\backslash$Omega $,$

r$\_(2)=5\mathrm{.}1\backslash$Omega $,$x$\_($m$)=90\backslash$Omega $,$x$\_(1)=4\mathrm{.}1\backslash$Omega $,$x$\_(2)=3\mathrm{.}6\backslash$Omega

Core loss $=120$ watts.

Friction and windage loss $=40(6)/(\_(-))51\backslash$deg A $($ii$)0\mathrm{.}6292$ lag $($iii$)531\mathrm{.}1$ W

$($iv$)5\mathrm{.}07$N$-$m $($v$)58\mathrm{.}6\%$