|
4. Problem 11.46P (HRW)
The oxygen molecule,
|
, has a
total mass of
and a
rotational inertia of
about
an axis through the centre of the line joining the atoms and perpendicular to
that line. Suppose that such a molecule in a gas has a speed of
and
that its rotational kinetic energy is two-thirds of its translational kinetic
energy. We have to find its angular velocity.|
Solution: Click For PDF Version Mass of the oxygen molecule,
Its rotational inertia,
Speed of the molecule,
Its kinetic energy of translation,
In the problem it has been given that the rotational kinetic energy of the molecule is two-thirds of its translational kinetic energy. That is
Rotational velocity,
Therefore, |
.
, of the
molecule can be calculated from the relation
