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 - Physics MCQ NEET 2017 2026 | ExamTest.live

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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 ?

Solution & Step-by-step Explanation

Torque τ = F \times R = I α .For a hollow cylinder, I = M R^{2} . F \times R = (M R^{2}) α ⟹ F = MR α . 30 = (3) \times (0.4) \times α . 30 = 1.2 α ⟹ α = \frac{30}{1.2} = 25 rad/s^{2} .

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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/s^{2}

0.25 rad/s^{2}

25 rad/s^{2}

5 m/s^{2}

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