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

Options

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

Answer

A

Explanation

Given: Angular acceleration, a= 3 rad/se`c^(2)` Initial angular velocity `omega_(1)` = 2 rad/sec, Time t = 2 sec
Using, `theta=omega_(1)t+1/2alphat^(2)`
`thereforetheta=2xx2+1/2xx3xx4=4+6=10` radian