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A body of moment of inertia 5 kgm^(2) ro...

A body of moment of inertia 5 `kgm^(2)` rotating with an angular velocity 6 rad/s has the same kinetic energy as a mass of 20 kg moving with a velocity of ……

A

5 m/s

B

4 m/s

C

3 m/s

D

2 m/s

Text Solution

Verified by Experts

The correct Answer is:
C
For the body translational K.E. = Rotational K.E.
`therefore (1)/(2)mv^(2)=(1)/(2)Iomega^(2)`
`(1)/(2)xx20xxv^(2)=(1)/(2)xx5xx6^(2)`
`therefore v^(2)=9" "therefore " v=3 m/s"`
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