A pulley, with a rotational inertia of 1.1 multiplied by 10-3 kg·m2 about its axle and a radius of 11 cm, is acted on by a force applied tangentially at its rim. The force magnitude varies in time as F= 0.50t + 0.30t2, where F is in newtons and t in seconds. The pulley is initially at rest.
(a) At t = 6.0 s what is its angular acceleration?
(b) At t = 6.0 s what is its angular velocity?