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Question

A ring of radius 1m and mass 1 kg is rotating with an angular acceleration of 5rads2 about an axis passing through its centre and perpendicular to its plane. What will be the magnitude of tangential acceleration of any of its small point mass?

A
5 m/s2
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B
1 m/s2
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C
6 m/s2
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D
6 m/s2
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Solution

The correct option is A 5 m/s2As you already know that angular and tangential acceleration of rigid body in rotation are related by, at=r.α ...(1) Here all elementary masses are at the same distance from its axis of rotation. Thus all must have same tangential acceleration. Putting all the corresponding values in (1), we get, at = 1 × 5= 5ms2

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