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Question

The moment of inertia of a body about a given axis is 1.2kgm2. Initially the body is at rest. In order to produce a rotational KE of 1500J, an angular acceleration of 25rad/sec2 must be applied about that axis for a duration of:

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

The correct option is D 2 s

I=1.2 kgm2

α=25 rad/s2

KE=12Iω2

1500=12×1.2×ω2

50rad/s=ω

α=25 rad/s2

ω=0+αt


5025=t=2 sec


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