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Question

A ring of mass 10 kg and radius 4 m, initially at rest, suddenly gain an angular velocity of 10 rad/s in 2 milli-seconds. The applied angular impulse is .

A
800 Kgm2s
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B
1500 Kgm2s
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C
1600 Kgm2s
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D
1000 Kgm2s
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Solution

The correct option is C 1600 Kgm2s
Initial angular momentum, Li = 0
Final angular momentum, Lf = Iωf
= Mr2ω
= 10×(4)2×10
=1600Kgm2s
Ja =LfLi=1600Kgm2s

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