A propeller is accelerated from rest to an angular velocity of $1,050$ rev$/$min over a period of $9\mathrm{.}6$ seconds by a constant torque of $4\mathrm{.}0103$ N $$ m$.$

$($a$)$

What is the moment of inertia of the propeller $($in kg $$ m$2)?$

kg $$ m$2$

$($b$)$

What power $($in W$)$ is being provided to the propeller $5\mathrm{.}0$ s after it starts rotating?

W