Question
A wheel has angular acceleration of 3.0 rad/s2 and an initial angular speed of 2.00 rad/s. In a time of 2 s it has rotated through an angle (in radian) of
6
10
12
4
Solution
B.
10
According to Kinematic equations for uniformly accelerated motion
Where ,The angular acceleration is α = 3 rad/s2
the initial angular speed is ωo = 2 rad/s
The time is t = 2 s
Given:- α = 3.0 rad/s2 , ωo = 2.0 rad/s, t = 2 s
Hence
θ = 4 + 6
θ = 10 rad