A circular plate is rotating in horizontal plane, about an axis passing through its center and perpendicular to the plate, with an angular velocity…

A circular plate is rotating in horizontal plane, about an axis passing through its center and perpendicular to the plate, with an angular velocity $\displaystyle \omega$. A person sits at the center having two dumbbells in his hands. When he stretches out his hands, the moment of inertia of the system becomes triple. If E be the initial Kinetic energy of the system, then final Kinetic energy will be $\displaystyle \frac{E}{x}$. The value of $\displaystyle x$ is