A 24.4-N force is applied to a cord wrapped around a pulley of mass M = 4.58-kg and radius R = 30.2-cm The pulley accelerates uniformly from rest to an angular speed of 26.8 rad/s in 2.23-s. If there is a frictional torque \tau = 1.48-mN at the axle,

(a) determine the moment of inertia of the pulley,

(b) determine the rough estimate of the moment of inertia.

(The pulley rotates about its center)

What is the difference be (a) and (b)?