A fly wheel is accelerated uniformly from rest and rotates through 5 rad in the first second. The angle rotated by the fly wheel in the next second, will be :

Step-by-step solution

Here the angular acceleration is constant, so we have, θ = ω t + 1 2 α t 2 . When flywheel is rotated from rest in the first second, then θ 1 = 1 2 α 1 2 = 5   rad   ⇒ α = 10   rad   s - 2 The angle turned by flywheel in the next second is θ 2 = 1 2 α 2 2 = 1 2 10 4 = 20   rad   s - 2 Thus, the angle turned during next second is θ = 20 - 5 = 15   rad