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Question

A fly wheel of mass 140 kg and radius 3 m is rotating at 240 rpm. The angular acceleration of flywheel if it comes to rest, after 7 rotations is (Assume constant angular acceleration)

A
167π rads2
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B
167π rads2
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C
8π7 rads2
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D
8π7 rads2
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Solution

The correct option is B 167π rads2
Given, Initial angular velocity (ωo)=2π×24060=8π rads
final Angular velocity (ωf)=0 rads

Given that flywheel undergoes 7 rotations, so angular displacement θ=7(2π)=14π

From Kinematics equation
ω2fω2o=2αθ
064π2=2α(14π)
α=16π7 rads2

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