NEET 2017 Physics Torque and Angular Acceleration MCQ Question
A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N?
25 m/s²
0.25 rad/s²
25 rad/s²
5 m/s²
Correct Answer
Detailed Explanation
The torque τ = r × F = 0.4 m × 30 N = 12 Nm. The moment of inertia I for a hollow cylinder is mr² = 3 kg × (0.4 m)² = 0.48 kg·m². Angular acceleration α = τ/I = 12 Nm / 0.48 kg·m² = 25 rad/s².
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