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The oxygen molecule has a total mass of 5.30 × 10 -26 kg and a rotational inertia of 1.94 × 10 -46 kg ∙ m 2 about an axis through the center perpendicular to the line joining the atoms. Suppose that such a molecule in a gas has a mean speed of 500 m/s and that its rotational kinetic energy is two-thirds of its translational kinetic energy. Find its average angular velocity.
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