A pulley of moment of inertia 0.021kg-m^2 and radius 0.12m is acted upon by a force which varies in time as F= 0.23t + 0.12t^2 where F is in Newton and t is in second. suppose that the pulley is initially rotating at 0.18 r/s and the force acts tangentially to the pulley. Find the magnitude of the angular velocity of the pulley two seconds after the force began to act on the pulley. I was thinking if I can use F(tan) r = I (alpha) alpha = (0.12m(0.23t+0.12t^2))/0.21kgm^2 to get the accelration and then plug it in w = wi + (alpha)t to get the velocity? Is my reasoning correct? What if I integrate the Force to get the work W, and then W = Kf - Ki?