A wheel has angular acceleration of `3.0 rad//s^2` and an initial angular speed of `2.00 rad//s`. In a tine of `2 s` it has rotated through an angle (in radian) of

Options

A. 6
B. 10
C. 12
D. 4

Answer

B

Explanation

`alpha = 3 "rad/s"^(2) , omega_(0) = 2` rad/sec: t= 2 sec
`theta= omega_(0) t+ (1)/(2) alpha t^(2)`
`rArr theta= 2 xx 2 + (1)/(2) xx 3(2)^(2) = 4+6= 10` rad