A body of moment of inertia of `3kgm^(2)` rotating with an angular velocity or 2rad//s has the same kinetic energy as a mass of 12kg moving with a velocity of

Options

A. 8m/s
B. 0.5 m/s
C. 2m/s
D. 1m/s

Answer

D

Explanation

`(1)/(2) I omega^(2) = (1)/(2) mv^(2) rArr (1)/(2) xx 3 xx 4 = (1)/(2) xx 12 xx v^(2)`
`rArr v= 1m//s`