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Q.

A flywheel rotating about a fixed axis has a kinetic energy of 360 J  when its angular speed is 30 rad s-1. The moment of inertia of the wheel about the axis of rotation is

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a

0.6 kg m-2

b

0.15 kg m-2

c

0.8 kg m-2

d

0.75 kg m-2

answer is C.

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Detailed Solution

Rotational kinetic energy =12Iω2360=12I×30×30I=360×230×30kgm2=0.8kgm−2
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A flywheel rotating about a fixed axis has a kinetic energy of 360 J  when its angular speed is 30 rad s-1. The moment of inertia of the wheel about the axis of rotation is