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
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