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Q.

A wheel rotating at an angular speed of 40 rads-1, is brought to rest by a constant torque in 5s. If the moment of inertia is 0.3 kg m2, the work done in first 3s is

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a

201 J

b

100 J

c

80 J

d

70 J

answer is A.

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Detailed Solution

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ωi=40 rad/s    α=0-ωit=-405=-8 rad/s2

  ωi=40 rad/s, ω⨍ = ωi+α t=40-8×3=16 rad/s

Wτ=12×I×ωi2-ωf2=12×0.3402-162=201.6 J

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