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A flywheel of mass 2 kg has radius of gyration 0.5m. If it makes 10 r.p.s. then its rotational kinetic energy will be ______. -

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Question

A flywheel of mass 2 kg has radius of gyration 0.5m. If it makes 10 r.p.s. then its rotational kinetic energy will be ______.

Options

  • 100π2 erg

  • 50π2 J

  • 100π2 J

  • 50π2 erg

MCQ
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Solution

A flywheel of mass 2 kg has radius of gyration 0.5m. If it makes 10 r.p.s. then its rotational kinetic energy will be 100π2 J.

Explanation:

`"K.E." =1/2Iomega^2=1/2"mk"^2(2pi"f")^2`

`=1/2"mk"^2xx4pi^2"f"^2=1/2xx2xx(0.5)^2xx4pi^2xx(10)^2`

= 100π2 J

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Radius of Gyration
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