The angular speed of the wheel of a vehicle is increased from 360 rpm to 1200 rpm in 14 second Its angular acceleration is

Options

A. `28 pi rad //s ^(2)`
B. `120 pi rad //s ^(2)`
C. ` 1 rad //s ^(2)`
D. `2pi rad //s ^(2)`

Explanation

`omega _(0) = ( 360)/(60) rps = 12 pi rad s ^(-1)`
`omega = (1200)/(60) rps = 4pi rad s ^(-1)`
`omega = omega _(0) + alpha t `
`implies alpha = (omega - omega _(0))/(t ) = (28pi)/(14) = 2pi rad s ^(-2)`