In: Physics
The period of the Moon's rotation is the same as the period of its revolution: 27.3 days (sidereal).
What is the angular momentum for each rotation and revolution? (Because the periods are equal, we see only one side of the Moon from Earth.)
The Moon (as well as all other moons of the solar system of
comparable size) exhibit SYNCHRONOUS ROTATION. The physical reason
for this is called tidal locking.
That means, that their rotation as measured relative to the starry
background (about the truest basis there exists for establishing
rotation) is of the same period as their orbit about their host
planet.
That being said, from the perspective of the host planet, it will
not *look like* the moon is rotating. But in truth the moon is
rotating.
Earth's moon orbits Earth once every 27.3 days (sidereal month).
Earth's moon rotates on its axis once every 27.3 days. CONTRAST
THIS with the familiar phasing cycle (synodic month) that lasts
29.5 days.
Also, Earth doesn't "rotate once on its axis every 24 hours". That
is an oversimplification. Earth has a sun viewing cycle lasting 24
hours (solar day).
Earth rotates a degree more than once on its axis every 24
hours...because it needs to make up the angle that the sun shifts
against the starry backdrop every day.
Earth rotates on its axis once every 23hrs56min4sec. We call this
the sidereal day.
FYI: it is essentially improbable for any celestial body to form
and not be rotating on its axis. There is seldom ever such a thing
as sidereal synchronicity. Distant stars are too far away to exert
any tidal locking torque on bodies of other planetary systems.
Plus, stars and planetary systems form out of initially rotating
discs of gas and dust.