A wheel has angular acceleration of 3.0 rad/sec² 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

Correct Answer:

10

Explanation:

Since, θ = ?￢ﾂﾀt + 1/2 αt²
Where, α is angular acceleration, ?￢ﾂﾀ is the initial angular speed. t = 2s
θ = 2 x 2 + 1/2 x 3(2)² = 4 + 6 = 10 rad