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 ……

Options

A. `5 m//s`
B. `4 m//s`
C. `3 m//s`
D. `2 m//s`

Answer

C

Explanation

`3 m//s`
Given that `1/2 Iomega^(2) = 1/2 mv^(2)`
`:. 1/2 xx 5kgm^(2) xx 6^(2)` rad/s= `1/2 xx 20 kg xx v^(2)`
`:. v^(2) = 9`
`:. v = 3` m/s.