Physics

Problem

6.17 The oxygen molecule has a mass of

5.30 \times 10^{-26} \mathrm{~kg}

and a moment of inertia of

1.94 \times 10^{-46} \mathrm{~kg} \mathrm{~m}^{2}

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 \mathrm{~m} / \mathrm{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.