Notes and Queries, Vol. V, Number 117, January 24, 1852: A Medium of Inter-communication for Literary Men, Artists, Antiquaries, Genealogists, etc.Various
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Notes and Queries, Vol. V, Number 117, January 24, 1852: A Medium of Inter-communication for Literary Men, Artists, Antiquaries, Genealogists, etc.
Various
Questions and answers -- Periodicals
I think, if A. E. B. will reconsider this opinion, he will find that, so
far from being "greatly in excess," it is inadequate to account for the
amount of apparent motion of the plane of the pendulum. For the onward
motion of the plane of a 2 sec. pendulum, describing a circle of 10 feet
diameter in twenty-four hours, amounts to ·0087 inch at each beat; 50
feet will be the difference in the distance the two extremities of the
arc of vibration will travel in twenty-four hours; that is, ·0138 inch
in 2 seconds of time: but this is for a difference of 10 feet;
therefore, for 5 feet, the distance from the centre, it is ·0069 inch;
whereas the arc described is ·0087 inch, which is absurd.
However, there is another equally fatal objection to this theory,
founded on experiment; to make which objection good, I will not merely
adduce the result of my own, but that of certain experiments carried out
at Paris, which place the matter beyond a doubt. In the Pantheon, at
Paris, there is a pendulum of the length of 230 feet, by means of which
experiments can be made under the most favourable conditions possible as
regards suspension, exclusion of currents of air, &c. &c. While
witnessing the trials that were being made, a relation of mine requested
that the pendulum might be set to oscillate east and west; and the
result was, that the arc described after an interval of ten minutes, was
the same as that described when the pendulum was oscillating north and
south.
To return to the original theory. I stated formerly that I had no faith
in the experiments which had been published. I now repeat that I believe
all the experiments that have been made, with the view of showing the
rotation of the earth, and the independence of the pendulum of that
rotation, are inconclusive; and for the following reason, _the
impossibility of obtaining perfect suspension_. Even in a still
atmosphere, and with a pendulum formed of the rigid rod and a "bob," the
axis of both of which shall be precisely in a line with the point of
suspension; yet, until suspension can be effected on a mathematical
point, and all torsion and local attraction got rid of, the pendulum
will not continue to swing _in the same plane_ for many consecutive
beats; because the _slightest_ disturbance will cause the "bob" to
describe an ellipse; and, by a well-known law, the major axis of that
ellipse will go on advancing in the direction of the revolution. This
advance is by regular intervals; and my belief, founded on my own
experiments, is, that the astonished spectators at the Polytechnic
Institution, while intently watching, as they believed, the rotation of
the earth made visible, were watching merely a weight suspended by a
cord, which, disturbed from the plane in which it was set to oscillate,
was describing a series of ellipses on the table, very pretty to look
at, but having no more to do with the rotation of the earth than the
benches on which they were sitting.
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