$2.$ A DC servomotor is used to actuate a robot joint. It has a torque constant of $25$ in$-$lb$/$A$,$ and a voltage constant of $15$ V$/$Kr$/$min $(1$ Kr$/$min $=1000$ rev$/$min$).$ The armature resistance is $3\mathrm{.}0$ W$.$ At a particular moment during the robot cycle, the joint is not moving and a voltage of $30$ V is applied to the motor.

a$.$ Determine the torque of the motor immediately after the voltage is applied.