A wheel rotates with a constant angular acceleration of 2.0 rads2. If the wheel starts from rest, how many revolutions will it make in the first 10 seconds?
The angular displacement in the first 10 seconds is given by
θ = ω0t + 12at2 = 12(2.0rads2)(10s)2 = 100 rad.
As the wheel turns by 2π radian in each revolution, the number of revolutions in 10 s is
n = 1002π ≈ 16.