A wheel has angular acceleration of `3" rad/s"^(2)` and initial angular speed of 2.00 rad/s. In a time 2 sec. it has rotated through an angle……….rad of :

Options

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

Answer

A

Explanation

Equation for constant acceleration in rotation motion
`theta=omega_(0)t+(1)/(2)alphat^(2)`
Here initial angular speed `omega_(0)=2" rad/s"`
Angular acceleration `alpha=3` rad/s and time `t=2`
`theta=(2xx2)+(1)/(2)(3)(2)^(2)`
`=4+(1)/(2)xx3xx4`
`therefore theta=10` rad