A pulley, with a rotational inertia of 3.2×10-3kg m2 about its axleand a radius of 8.0 cm, is acted on by a force applied tangentially at its rim. The force magnitude varies in time as F =0.46t + 0.32t2, where F is in newtons if t is given in seconds. The pulley is initially at rest. At t = 3.4 s what is its angular acceleration? At t=3.4s what is the angular velocity.