$5-14.$ A $10-hp,440-V,60-Hz,$ two pole induction motor operating at rated load develops $15\mathrm{.}5lb-$ ft torque at $3492$ rpm $.$ The motor parameters expressed in ohms$/$ph are:

$R_1=0\mathrm{.}740$

$x_1=1\mathrm{.}33$

$R_2=0\mathrm{.}647$

$x_2=2\mathrm{.}01$

$R_{fe}=$ not known

$x_m=77\mathrm{.}6$

If the load torque is reduced by $30\%$ determine the approximate values of $($a$)$ slip; $($b$)$ shaft speed; $($c$)$ rotor current $($d$)$ shaft horsepower.

$5-20.$ A $3$ wye connected, $25hp,60-hz,575V,$ six pole wound rotor motor operating its nameplate conditions runs at $1164$ rpm with the rheostat shorted. The stator motor turns ratio is $2\mathrm{.}15,$ and the motor parameters in ohms $\frac{?}{}$ are:

$R_1=0\mathrm{.}3723,R_2=0\mathrm{.}390,R_{fe}=26\mathrm{.}59$

$x_1=1\mathrm{.}434,x_2=2\mathrm{.}151,x_m=354\mathrm{.}6$

Determine $($a$)$ slip at which occurs?

Find $S_{TD,\text{m}\text{a}\text{x}},T_{D,\text{m}\text{a}\text{x}},S_1,S_2,$ and?