A ballet dancer spins with 24 $rev{s}^{-1}$ with her arms stretched out when the moment of inertia about the axis of rotation is 1. Calculate the new rate of spin, if the moment of inertia about the same axis is 0.61.

Q. A wheel of moment of inertia 0⋅10 kg-m² is rotating about a shaft at an angular speed of 160 rev/minute. A second wheel is set into rotation at 300 rev/minute and is coupled to the same shaft so that both the wheels finally rotate with a common angular speed of 200 rev/minute. Find the moment of inertia of the second wheel.

Q. A ballet dancer spins about a vertical axis 90 rpm with arms outstretched . With the arms folded, the moment of inertia about the same axis of rotation changes to 75%. Calculate the new speed of rotation.

Q. A ballet dancer, dancing on a smooth floor is spinning about a vertical axis with her arms folded with angular velocity of $20rad/s$. When the stretches her arms fully, the spinning speed decreases in $10rad/s$/. If $I$ is the initial moment of inertia of the dancer, the new moment of inertia is

Q. A ballet dancer is rotating about his own vertical axis at an angular velocity $100rev/min$ on smooth horizontal floor. The ballet dancer folds himself close to his axis of rotation by which his moment of inertia decreases to half of initial moment of inertia. His final angular velocity is :

Q. A stone of mass $4\text{kg}$ is whirled in a horizontal circle of radius $1\text{m}$ with angular speed of $2\text{rev/sec}$. The moment of inertia of the stone about the axis of rotation is