Systems of Particles and Rotational motion

The oxygen molecule has a mass of 5.30 × 10-26 kg and a moment of inertia of
1.94 ×10-46 kg m2
about an axis through its centre perpendicular to the lines joining
the two atoms. Suppose the mean speed of such a molecule in a gas is 500 m/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.