Problem $1-$ PM DC Motor

A permanent magnet direct current $($PM DC motor is used to rotate a load has a polar m inertia $J=0\mathrm{.}75N.m.s^2$ through a torque multiplier gear$-$box of gearing ratio $N=100.$

A manufacturer's specifications for a PM DC motor shows that it has the following parameters:

$7$

$\backslash$table$[[$Torque constant $k_t,0\mathrm{.}12N\frac{m}{A}$