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A solid cyclinder of mass 4 kg and radiu...

A solid cyclinder of mass 4 kg and radius 20 cm is rotating about its axis with a frequency of `10//pi` Hz. What is the rotational kinetic energy of the cylinder?

A

4 J

B

8 J

C

16 J

D

32 J

Text Solution

Verified by Experts

The correct Answer is:
C
`E_(rot)=(1)/(2)Iomega^(2)=(1)/(2)((1)/(2)MR^(2))(2piv)^(2)`
`=(1)/(2)((1)/(2)xx4xx((20)/(100))^(2))(2pi.(10)/(pi))^(2)`
`=(4)/(100)xx400=16J`
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