Example 1.7: A flywheel is a mechanical
device specifically designed to efficiently
store rotational energy. For a particular
machine it is in the form of a uniform 20 kg
disc of diameter 50 cm, able to rotate about
its own axis. Calculate its kinetic energy
when rotating at 1200 rpm. Use te ? = 10.
Calculate its moment of inertia, in case it is
rotated about a tangent in its plane.
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Answer:
Angular speed of the flywheel w=30 rad/s
Rotational kinetic energy E=360J
Let the moment of inertia of the fly wheel be I
Rotational kinetic energy E=21Iw2
∴ 360=21I×302 ⟹I=0.8 kg m2
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