Classical Mechanics
# Angular Kinematics

At the local swimming hole, a favorite trick is to run horizontally off a cliff that is $80 \text{ m}$ above the water, roll yourself up into a "ball", and rotate on the way down to the water. If the average angular speed of rotation is $2$ revolutions per second, what is the total number of revolutions during the fall?

The air resistance is negligible, and the gravitational acceleration is $g= 10 \text{ m/s}^2.$