Solution of task 14.6.6 from the collection of Kepe OE

14.6.6
The athlete, jumping from a springboard into the water, does in the air a somersault. At the moment of detachment from the springboard, he tells himself the angular velocity ω0 = 1.5 rad / s around the horizontal axis passing through its center of mass. In this case, the moment of inertia of the athlete relative to the axis of rotation I0 = 13.5 kg • m2. Determine the angular velocity of the athlete, when he during the flight, pressing his hands and feet, reduced the moment of inertia to I = 5.4 kg • m2. (Answer 3.75)