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Question

A wheel of mass 2 kg having practically all the mass concentrated along the circumference of the circle of radius 20 cm, is rotating on its axis with an angular velocity of 100 rad/sec. Rotational kinetic energy of the wheel is

A
4 J
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B
70 J
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C
400 J
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D
800 J
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Solution

The correct option is C 400 J
Rotational Kinetic energy of a body =12Iω2
I=MR2 for ring (mass concentrated on rim).
I=2×(0.2)2=0.08kgm2
E=12×0.08×(100)2=400J

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