The specifications for a ceiling fan you have just bought indicate that the total moment of inertia of its blades is $0\mathrm{.}23kg*m^2$ and they experience a net torque of $3\mathrm{.}0N*m.$

$($a$)$ What is the angular acceleration of the blades in $ra\frac{d}{s^2}?$

$ra\frac{d}{s^2}$

$($b$)$ When the blades rotate at $220rpm,$ what is the rotational kinetic energy, in joules?