Experiments made. By whom, and Date. Mean Density found.
At Schiehallien Maskelyne 1772 4·713
At Arthur's Seat Sir H. James 1855 5·316
(2) _Torsion Balance Experiments_:--
Cavendish 1798 5·448
At Freyberg, Saxony Reich 1837 5·438
At Manchester Francis Baily 1838-1842 5·675
(3) _Chemical Balance Experiments_:--
J. H. Pointing 1878 5·690
In the case of the plummet deviating from its absolutely straight
direction towards the centre of the earth, caused by their attraction,
not only the mountains themselves had to be measured and virtually
weighed as far as they were measurable, but the weight of the wedge or
pyramid between that measurable point, in each case, and the centre
of the earth had to be estimated in some way; then the centre of
gravity of the whole of this mass had to be ascertained, as well as
the respective distances from the centre of the earth of this centre
of gravity and that of the plummet, and only after all this and a deep
study of the mutual attractions of this mass and the plummet could
an estimate be formed of the mass of the earth. It will thus be seen
that such measurements and estimates could never be looked upon as
very exact and reliable; and nevertheless they have come very near the
density of 5·66 finally adopted for the earth.
In the case of the Torsion Balance experiments a very considerable
advance was made in consequence, most undoubtedly, of the knowledge
acquired from what had been done by Maskelyne. When it was found that
the attraction of Schiehallien for the plummets was such a measurable
quantity, Cavendish evidently saw that the attraction of manageable
leaden balls for each other would be measurable also, and that as no
calculations of any kind whatever were necessary to find the masses
of the balls, the mutual attraction of large and small balls would
furnish a more exact means of measuring the density of the earth, than
the roundabout way of having to calculate the weight of a mountain as
a beginning; and with the requisite ingenuity, invention, and labour,
he found the means of applying the torsion balance, to make the
experiments.
After these experiments were revised by Reich and Baily--and the
density of 5·66 adopted, we believe--still another set were undertaken
by J. H. Pointing, with the Chemical Balance, in which only two metal
balls, one large and one small were required, which gave a density of
5·690 as shown opposite, and from its extreme simplicity may perhaps
have been the most exact of all.
Public-domain text, read in full here on John Shaqi.
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