When jumping from a platform, a diver initially holds his or her body essentiall

Question

When jumping from a platform, a diver initially holds his or her body essentially extended and straight and rotates slowly while falling. The diver then tucks into a compact shape and tumbles rapidly. As the diver nears the water, she or he straightens out again and again rotates only slowly while entering the water. Roughly estimate how much faster you would tumble when compacted in a ball than you would when your body was extended and straight. (Hints: think of simple shapes that you can use as your body for both configurations, and make some measurements or estimates about radii or lengths)

Explanation / Answer

from the conservation of angular momentum

I1W1=I2W2

w2=I1W1/I2

I2=I body+I balls

I1=I body

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