The oxygen molecule O2 has a total mass of 5.30 x 10-26 kilogram and a rotational inertia of 1.94 x 10-46 kg·m2 about an axis through the center of the line joining the atoms and perpendicular to that line. Assume the center of mass of an O2 molecule in a gas has a translational speed of 390 m/s and the molecule has a rotational kinetic energy that is 2/3 of the translational kinetic energy of its center of mass. Find the molecule angular speed about the center of mass.
(rad/s)