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Q.

A flywheel is in the form of a uniform circular disc of radius 1 m and mass 2 kg. The work which must be done on it to increase its frequency of rotation from 5 rps to 10 rps is approximately

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a

1.5 X 102 J

b

3.0 X 102 J

c

1.5 x 103 J

d

3.0 x 103 J

answer is C.

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Detailed Solution

W = Change in rotational kinetic energy  =12Iωf2-ωi2=1212mR22πff2-2πfi2=14mR24π2ff2-fi2=14×2×(1)2×4×π2(100-25)=1.48×103 J≈1.5×103 J
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