A hollow spherical shell of radius R that is rotating about an axis through its center has rotational kinetic energy K. If you want to modify this sphere so that it has three times as much kinetic energy at the same angular speed while keeping the same mass, what should be its radius in terms of R?

Solution 14DQ Introduction We have to use the relationship between the kinetic energy and moment of inertia for rotational motion we have to solve this problem. Step 1 The kinetic energy of an object have angular velocity is given by Now the moment of inertia of a hollow sphere is Here m is the mass...