The slight numerical discrepancy between the above results is of
course due to the approximate character of the data selected, which
are taken in round numbers as quite sufficient for purposes of
illustration.
If we imagine the force applied to the earth by a forest of round
rods, one for every square foot of the earth's surface--i.e. of the
projected earth's hemisphere or area of equatorial plane,--the force
transmitted by each would have to be 2700 tons; and therefore, if of
30-ton steel, they would each have to be eleven inches in diameter, or
nearly in contact, all over the earth.
_Pull of a Planet on the Earth._
While we are on the subject, it seems interesting to record the fact
that the pull of any planet on the earth, even Neptune, distant though
it is, is still a gigantic force. The pull of Neptune is 1/20,000th of
the sun's pull: i.e. it is 18 billion tons weight.
_Pull of a Star on the Earth._
On the other hand, the pull of a fixed star, like Sirius--say a star,
for example, which is 20 times the mass of the sun and 24 light years
distant--is comparatively very small.
It is easily found by dividing 20 times the sun's pull by the squared
ratio of 24 years to 8 minutes; and it comes out as 30 million tons
weight.
Such a force is able to produce no perceptible effect. The
acceleration it causes in the earth and the whole solar system, at its
present speed through space, is only able to curve the path with a
radius of curvature of length thirty thousand times the distance of
the star.
_Force required to hold together the Components of some Double Stars._
But it is not to be supposed that the transmission of any of these
forces gives the ether the slightest trouble, or strains it to
anywhere near the limits of its capacity. Such forces must be
transmitted with perfect ease, for there are plenty of cases where the
force of gravitation is vastly greater than that. In the case of
double stars, for instance, two suns are whirling round each other;
and some of them are whirling remarkably fast. In such cases the force
holding the components together must be enormous.
Public-domain text, read in full here on John Shaqi.
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