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# A diver having a moment of inertia of 60 kg-m^{2} about an axis through its center of mass rotates at an angular speed of 2 rad/s about this axis. If he folds his hands and feet to decrease the moment of inertia to 5.0 kg-m^{2}, what will be the new angular speed?

Answer :

Given:

Angular speed (ω_{1}) =2 rad/s

Moment of inertia (I_{1}) = 60 kg-m^{2}

Moment of inertia (I_{2}) = 5.0 kg-m^{2}

New angular speed (ω_{2}) =?

Since external torque is zero

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PREVIOUSA wheel of moment of inertia 0.500 kg-m2 and radius 20.0 cm is rotating about its axis at an angular speed of 20.0 rad/s. It picks up a stationary particle of mass 200 g at its edge. Find the new angular speed of the wheel.NEXTA boy is seated in a revolving chair revolving at an angular speed of 120 revolutions per minute. Two heavy balls form part of the revolving system and the boy can pull the balls closer to himself or may push them apart. If by pulling the balls closer, the boy decreases the moment of inertia of the system from 6 kg-m2 to 2 kg-m2, what will be the new angular speed?

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