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A wheel is rotating at the rate of 10 re...

A wheel is rotating at the rate of 10 revolutions per second about an axis about which the radius of gyration is 0.2m. If the mass of the wheel is 5 kg then its rotational kinetic energy is

A

395 J

B

295 J

C

195 J

D

250 J

Text Solution

Verified by Experts

The correct Answer is:
A
`I=Mk^(2)`
Rotational kinetic energy `=1/2 Iomega^(2)`
`=1/2Mk^(2) omega^(2)`
`:' omega=2pin`
`=2pixx10`
`=1/2xx5xx(0.2)^(2)xx(10xx2pi)^(2)`
`=10xx4pi^(2)`
`=40xx(3.14)^(2)`
`=395J`
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