$5\mathrm{.}48$ A $3,460V,60Hz,1025rpm$ squirrel$-$cage induction motor has the following equivalent circuit parameters:

$R_1=0\mathrm{.}06,x_1=0\mathrm{.}25$

$R_2^{\text{'}}=0\mathrm{.}3,x_2^{\text{'}}=0\mathrm{.}35$

$x_m=7\mathrm{.}8,$

Neglect the core losses and windage and friction losses. Use the equivalent circuit of Fig. $5\mathrm{.}15$ for computation. Write a computer program to study the performance characteristics of this machine operating as a motor over the speed range zero to synchronous speed. The program should yield

$($a$)$ A computer printout in tabular form showing the variation of torque, input current, input power factor, and efficiency with speed.

$($b$)$ A plot of the performance characteristics.

$($c$)$ Input current, torque, input power factor, and efficiency at the rated speed of $1025$ rpm $.$