On the Connexion of the Physical SciencesSomerville, Mary
Science
On the Connexion of the Physical Sciences
Somerville, Mary
Physical sciences; Science
The densities of bodies are proportional to their masses, divided by
their volumes. Hence, if the sun and planets be assumed to be spheres,
their volumes will be as the cubes of their diameters. Now, the apparent
diameters of the sun and earth, at their mean distance, are 1923ʺ·6 and
17ʺ·1552, and the mass of the earth is the 354,936th part of that of the
sun taken as the unit. It follows, therefore, that the earth is four
times as dense as the sun. But the sun is so large that his attractive
force would cause bodies to fall through about 334·65 feet in a second.
Consequently, if he were habitable by human beings, they would be unable
to move, since their weight would be thirty times as great as it is
here. A man of moderate size would weigh about two tons at the surface
of the sun; whereas at the surface of some of the new planets he would
be so light that it would be impossible to stand steady, since he would
only weigh a few pounds. The mean density of the earth has been
determined by the following method. Since a comparison of the action of
two planets upon a third gives the ratio of the masses of these two
planets, it is clear that, if we can compare the effect of the whole
earth with the effect of any part of it, a comparison may be instituted
between the mass of the whole earth and the mass of that part of it. Now
a leaden ball was weighed against the earth by comparing the effects of
each upon a pendulum; the nearness of the smaller mass making it produce
a sensible effect as compared with that of the larger: for by the laws
of attraction the whole earth must be considered as collected in its
centre. By this method it has been found that the mean density of the
earth is 5·660 times greater than that of water at the temperature of
62° of Fahrenheit’s thermometer. The late Mr. Baily, whose accuracy as
an experimental philosopher is acknowledged, was unremittingly occupied
nearly four years in accomplishing this very important object. In order
to ascertain the mean density of the earth still more perfectly, Mr.
Airy made a series of experiments to compare the simultaneous
oscillations of two pendulums, one at the bottom of the Harton coal-pit,
1260 feet deep, in Northumberland, and the other on the surface of the
earth immediately above it. The oscillations of the pendulums were
compared with an astronomical clock at each station, and the time was
instantaneously transmitted from one to the other by a telegraphic wire.
The oscillations were observed for more than 100 hours continuously,
when it was found that the lower pendulum made 2-1/2 oscillations more
in 24 hours than the upper one. The experiment was repeated for the same
length of time with the same result; but on this occasion the upper
pendulum was taken to the bottom of the mine and the lower brought to
the surface. From the difference between the oscillations at the two
stations it appears that gravitation at the bottom of the mine exceeds
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