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Question

A small disc and a large disc are connected by a belt. The small disc whose radius is 15 cm rotates at an angular speed of 360 rpm. The radius of large disc having mass 8 kg is 45 cm. The kinetic energy of large disc is nearly equal to ( Assume π2=10)

A
60 J
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B
64 J
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C
120 J
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D
45 J
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Solution

The correct option is B 64 J
Belt does not slip on wheels so, v=r1ω1=r2ω215(360)=45xx=120 rpm=2 rps=4π rad/s

K.E=12Iω2=12mr22ω2=12(8)(0.45)22(16π2)=64J

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