Oxygen Molecule The oxygen molecule, O2, has a total mass of 5.30 10-26 kg and a

Question

Oxygen Molecule The oxygen molecule, O2, has a total mass of 5.30 10-26 kg and a rotational inertia of 1.94 10-46 kg·m2 about an axis through the center of the line joining the atoms and perpendicular to that line. Suppose the center of mass of an O2 molecule in a gas has a translational speed of 440 m/s and the molecule has a rotational kinetic energy that is 2/3 of the translational kinetic energy of its center of mass. What then is the molecule's angular speed about the center of mass.
rad/s

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Explanation / Answer

Krot = 2/3 Ktran 0.5 * 1.94e-46 * w^2 = [2/3] [ 1/2 * 5.3e-26 * 440^2 ] w = 5.93 e 12 rad /s

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