A diver makes 2.5 revolutions on the way from a 9.3-m-high platform to the water. Assuming zero initial vertical velocity, find the diver's average angular velocity during a dive.

11.4 rad/s

Explanation:

The motion of the diver is a free-fall motion, so its center of mass falls down with constant acceleration of

towards the water

Therefore, we can use the following suvat equation:

where:

s = 9.3 m is the vertical displacement of the diver

u = 0 is the initial vertical velocity

And t is the total time of flight. Solving for t,

So, the diver takes 1.38 s to reach the water.

During this time, the diver makes 2.5 revolutions; since 1 revolution is equal to an angle of radians, then the total angular displacement is

Therefore, the average angular velocity of the diver is the ratio between the total angular displacement and the time taken:

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