A body having a moment of inertia about its axis of rotation equal to 3 kg `m^(-2)` is rotating with angular velocity of 3 rad `s^(-1)`. Kinetic energy of this rotating body is same as that of a body of mass 27 kg moving with velocity v. The value of v is

Options

A. `1ms^(-1)`
B. `0.5 ms^(-1)`
C. `2ms^(-1)`
D. `1.5 ms^(-1)`

Answer

A

Explanation

`(1)/(2) mv^(2) = (1)/(2) I omega^(2)`
`(1)/(2) xx 27 xx v^(2) = (1)/(2) xx 3 xx 3^(2)`
v = 1/s