(145.) The most remarkable and important manifestation of centrifugal
force is observed in the effects produced by the rotation of the earth
upon its axis. Let the circle in _fig. 35._ represent a section
of the earth, A B being the axis on which it revolves. This
rotation causes the matter which composes the mass of the earth to
revolve in circles round the different points of the axis as centres
at the various distances at which the component parts of this mass
are placed. As they all revolve with the same angular velocity, they
will be affected by centrifugal forces, which will be greater or less
in proportion as their distances from the centre are greater or less.
Consequently the parts of the earth which are situated about the
equator, D, will be more strongly affected by centrifugal force than
those about the poles, A B. The effect of this difference has been
that the component matter about the equator has actually been driven
farther from the centre than that about the poles, so that the figure
of the earth has swelled out at the sides, and appears proportionally
depressed at the top and bottom, resembling the shape of an orange. An
exaggerated representation of this figure is given in _fig. 36._;
the real difference between the distances of the poles and equator
from the centre being too small to be perceptible in a diagram. The
exact proportion of C A to C D has never yet been certainly
ascertained. Some observations make C D exceed C A by 1/277,
and others by only 1/333. The latter, however, seems the more probable.
It may be considered to be included between these limits.
The same cause operates more powerfully in other planets which revolve
more rapidly on their axes. Jupiter and Saturn have forms which are
considerably more elliptical.
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