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) 2
(c) 4
(d) 6

Correct Answer:

10

Explanation:

Given: Angular acceleration, α = 3 rad/sec², Initial angular velocity ωᵢ = 2 rad/sec, Time t = 2 sec

Using, θ = ωᵢt + (1/2) αt²

.·. θ = 2 x 2 + (1/2) x 3 x 4 = 4 + 6 = 10 radian