Physics

Problem

3.0\,\text{kg}

bucket is attached to a light rope wrapped around a solid cylindrical drum of radius

0.15\,\text{m}

and moment of inertia

0.60\,\text{kg}\cdot\text{m}^2

. Starting from rest, a motor applies a constant torque of

8.0\,\text{N}\cdot\text{m}

to the drum, lifting the bucket. When the drum has turned through

6.0

revolutions, determine the bucket’s linear speed. (Assume the rope does not slip and neglect air resistance.)