An object of mass m has angular acceleration `alpha =0.2" rad s"^(-2)`. What is the angular displacement covered by the object after 3 second ? (Assume that the object started with angle zero with angular velocity).

Explanation

Given : `alpha = 0 . 2 rad//s^(2)`
t = 3s
`theta = ? ?`
Formula : `theta = omega _(0) t + (1)/(2) alpha t^(2) `
`= 0 +(1)/(2) xx 0 . 2 xx (3)^(2)`
`theta = 0 . 9` rad
Since, 1 rad ` = 57 . 295^(@)`
`theta` in radian ` = 57 . 295^(@) xx 0 . 9 `
`theta = 51^(@) 5` '