The oxygen molecule has a mass of 5.30×10^−26kg and a moment of inertia of 1.94×10^−46kgm^2 about an axis through its centre perpendicular to the line joining the two atoms. Suppose the mean speed of such a molecule in a gas is 500m/s and that its kinetic energy of rotation is two/thirds of its kinetic energy of translation. Find the average angular velocity of the molecule.