A three phase, two pole, $35$ hp$,480$ V$,60$ Hz$,$ wye connected induction motor has the following

constants

in ohms per phase referred to the stator

$1=0\mathrm{.}322,2=0\mathrm{.}196,$ X$1=0\mathrm{.}675,$ X$2=0\mathrm{.}510,$ Xm$=12\mathrm{.}5$

The

total rotational losses are $1850$ W and are assumed to be constant The core loss is lumped in

with

the rotational losses For a rotor slip of $3$ at the rated voltage and rated frequency, determine

the

following

$($a$)$

The speed in rpm and in rad$/$s

$($b$)$

The stator current

$($c$)$

The power factor

$($d$)$

The developed power and output power

$($e$)$

The developed torque and output torque

$($f$)$

The efficiency

$($

g The slip at which the maximum torque is developed

$($

h The speed at which the maximum torque is developed

$($

i The maximum torque developed

$($

j The starting torque developed

$($

k The speed at which the maximum torque is developed, if the rotor resistance is doubled

$($

l The maximum torque developed, if the rotor resistance is doubled

$($

m The starting torque developed, if the rotor resistance is doubled