STANDARDPhysics-Rotational Motion
STANDARD Physics Torque and Angular Acceleration MCQ Question
Type: MCQ-numerical-Medium
A rope of negligible mass is wound round a hollow cylinder of mass 3 kg and radius 40 cm. If the rope is pulled with a force of 30 N, then the angular acceleration produced in the cylinder is
A
15 rad s⁻²
B
25 rad s⁻²
C
20 rad s⁻²
D
30 rad s⁻²
Correct Answer
Option B
Detailed Explanation
The moment of inertia I for a hollow cylinder is MR² = 3 × (0.4)² = 0.48 kg m². Torque τ = rF = 0.4 × 30 = 12 N m. Angular acceleration α = τ/I = 12/0.48 = 25 rad s⁻².
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