Five objects (shown below) have equal mass m=4.2 kg and equal radius R=8.0 cm. They are free to rotate about the axis indicated by the grey line.
4. The object with the smallest moment of inertia is rotating at an angular velocity of ω=2.6 rad/s. At what angular velocity would the object with the largest moment of inertia need to rotate to have the same rotational energy? Give your answer in rad/s.