A Level Physics Notes: Forces and Motion – Variation of the Acceleration Due to Gravity Over the Surface of the Earth
The accleration due to gravity is given by
where
is
the Gravitational constant,
is
the mass of the Earth and
is
the radius of the earth. The formula above assumes a spherically
uniform distribution of mass, this this assumption is only
approximately true. The Earth is not a sphere, being flattened at the
poles, nor is the density of the Earth uniform. There are local mass
concentrations – such as mountain ranges - which increase the
acceleration due to gravity, and local deficits of mass. In the
middle of the oceans the acceleration due to gravity is much weaker
because water has only a fraction of the density of the continental
crust which makes up the landmasses. The diagram below illustrates
the variation in the acceleration due to gravity over the Earth's
surface.
A milligal is a convenient unit for describing variations in
gravity over the surface of the Earth. 1 milligal (or mGal) =
which
can be compared to the total gravity on the Earth's surface of
approximately
A
milligal is about 1 millionth of the standard acceleration on the
Earth's surface.