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Question

The moment of inertia of a body about a given axis is 1.2 kg×m2. Initially, the body is at rest. In order to produce a rotational KE of 1500 joule, an angular acceleration of 25 rads2 must be applied about that axis for a duration of

A
4 seconds
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B
2 seconds
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C
8 seconds
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D
10 seconds
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Solution

The correct option is B 2 seconds
KR=12Iω2=12I(αt)2=12Iα2t2
1500=12×1.2×(25)2t2
t2=4t=2 seconds
Hence, the correct answer is option (b).

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