A diatomic gas molecule has a mass of 9.63 x 10^-26 kg and a rotational inertia of 6.50 x 10^-46 kg·m^2 about an axis through the center of the line joining the atoms and perpendicular to that line. Suppose the center of mass of the molecule has a translational speed of 599 m/s and the molecule has a rotational kinetic energy that is 2/3 of the translational kinetic energy of its center of mass. What then is the molecule's angular speed about the center of mass?

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