Olympic Diving

Olympic Diving#

../../../../../_images/OlympianDive.png

A diver is practicing their dives for the Olympics! They have a weight of \(W = {{ params.W }} \ \rm{lb}\). In figure (a), their center of gravity is \(d = {{ params.d }} \ \rm{ft}\) from the board, and the rotation radius about their center of gravity is \(k_G = {{ params.k }} \ \rm{ft}\). When they jump off the board, an angle of \({{ params.theta }}^\circ\) is made from the board. The height of the board is \(h = {{ params.h }} \ \rm{ft}\) from the water.

Part 1#

What is the angular velocity of the diver as they jump off the board? (Hint: Consider the energy from their centre of gravity, and how it realates to their rotational movement)

Answer Section#

Please enter in a numeric value in m.

Part 2#

How many revolutions do they complete before they land in the water?

Answer Section#

Please enter in a numeric value in m.

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.