The wheel of a motor, accelerated uniformly from rest, rotates through 2.5 radian during the first second. Find the angle rotated during the next second.

Explanation

Here, `omega_(1) = 0, theta = 2.5 "radian", t = 1 s, alpha = ?`
As `theta = omega_(1) t + (1)/(2) alpha t^(2) :. 2.5 = 0 + (1)/(2) alpha xx 1^(2)`
`:. alpha = 5 rad//s^(2)`
Total angle rotated during the first two seconds,
`theta' = (1)/(2) alpha t^(2) = (1)/(2) xx 5 xx 2^(2) = 10 rad`
`:.` Angle rotated during the second second
`= 10 - 2.5 = 7.5` radian