A propeller is accelerated from rest to an angular velocity of $1000$ rev$/$min over a period of $6\mathrm{.}0$ seconds by a constant torque of $2\mathrm{.}0103$N$$m$2\mathrm{.}0103$N$$m$.($a$)$ What is the moment of inertia of the propeller? $($b$)$ What power is being provided to the propeller $3\mathrm{.}0$ s after it starts rotating?