1. 0.25 rad/s ² 2. 25 rad/s ² 3. 5 m/s ² 4. 25 m/s ²

Answer: 2. 25 rad/s ² Key idea: τ=Iα , with τ=FR and I=MR² for a hollow cylinder. τ=30×0.4=12 N m, I=3×0.4²=0.48 kg m ² . α=12/0.48=25 rad/s ² . Options 3 and 4 have units of linear acceleration, so they are wrong.

Topic: Equilibrium of rigid bodies, rigid body rotation, equations of rotational motion· Rotational Motion

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 ?

1. 0.25 rad/s\(^2\)

2. 25 rad/s\(^2\)

3. 5 m/s\(^2\)

4. 25 m/s\(^2\)

Doubtly Asked 30 Oct 2026 NEET UG 2017 Practice test neet Save WhatsApp Report

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Answer: 2. 25 rad/s\(^2\)

Key idea: \(\tau=I\alpha\), with \(\tau=FR\) and \(I=MR^2\) for a hollow cylinder.

\(\tau=30\times0.4=12\) N m, \(I=3\times0.4^2=0.48\) kg m\(^2\).

\(\alpha=\dfrac{12}{0.48}=25\) rad/s\(^2\).

Options 3 and 4 have units of linear acceleration, so they are wrong.

Doubtly AI · 30 Oct 2026 AI-generated · not yet verified Report

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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 ?

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