A wheel is rotating with angular velocity . It is subjected to a uniform angular acceleration $2.0rad/s^2$. How many revolutions will it make in this time interval?

In one revolution, the wheel rotates through $2\mathrm{\pi }$ radians. Angular displacement in this time 

$\theta ={\omega }_{0}t+\frac{1}{2}\alpha t^2=120 rad$

Therefore the number of complete revolutions $n$ is$n=\frac{\theta }{2\pi }=\frac{120}{2\mathrm{\pi }}=19$