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Question

A flywheel connected to a punching machine has to supply energy of 400 Nm while running at a mean angular speed of 20 rad/s. If the total fluctuation of speed is not to exceed ±2% the mass moment of inertia of the flywheel in kg-m2 is

A
25
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B
50
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C
100
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D
125
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Solution

The correct option is A 25
ΔE=400 Nm,ωmean=20rad/s

Cs=±2%=4%=4100

ΔE=Iω2meanCs

400=I×{20}2×{0.04}

I=25 kgm2

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