A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. Find the angular acceleration when the rope is pulled with force 30 N.
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Question

A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. Find the angular acceleration when the rope is pulled with force 30 N.

G1 Physics · Accepted Answer

Step 1: Torque τ=FR=30×0.4=12 N·m. Step 2: A thin hollow cylinder has I=MR²=3×0.4²=0.48 kg·m². Step 3: Hence α=τ/I=12/0.48=25 rad/s². Final answer: C — 25 rad/s².