This arrangement, though perhaps less perfect than that we have just
described, the pendulum not being in one piece, has the advantage of
allowing a circular plate of glass to be placed upon the surface of
the mercury, as practised by Mr. Browne. To determine the length of
a column of mercury for a glass pendulum, let us suppose the glass,
including the cylinder, to be 41 inches in length. Multiplying this
by ·0529, the number taken from Table II. for a glass rod and mercury
in a glass cylinder, we have 2·17 inches for the uncorrected length
of mercury, which compensates 41 inches of glass. Suppose the steel
spring to be one inch and a half long: multiplying this by ·0703, the
appropriate decimal taken from Table II., we have 0·1, the length of
mercury due to the steel, making with the former 2·27 inches, which,
being doubled, and the product increased by its one-tenth part, we
obtain five inches for the length of the required column of mercury.
_Compensation Pendulum of Wood and Lead, on the Principle of the
Mercurial Pendulum._
If by any contrivance wood could be rendered impervious to moisture,
it would afford one of the most convenient substances known for a
compensation pendulum. It does not appear that sufficient experiments
have been made upon this subject to decide the question. Mr. Browne
of Portland Place, who has devoted much of his time and attention to
the most delicate enquiries of this kind, has, we believe, found that
if a teak rod is well gilded, it will not afterwards be affected by
moisture. At all events, it makes a far superior pendulum, when thus
prepared, to what it does when such preparation is omitted.
Mr. Baily, in the paper we have before alluded to, proposes an
economical pendulum to be constructed by means of a leaden cylinder and
a deal rod. He prefers lead to zinc, on account of its inferior price,
and the ease with which it may be formed into the required shape; and
as there is no considerable difference in their rates of expansion, it
is equally applicable to the purpose.
Let the length of the deal rod be taken at 46 inches. Then, to find the
length of the cylinder of lead to compensate this, we have, in Table
II., ·1427 for such a pendulum; which, being multiplied by 46, the
product doubled, and one tenth of the result added to it, gives 14·44
inches for the length of the leaden cylinder. Mr. Baily’s compensation
gives 14·3 inches.
[Illustration: _Captn. Kater, del._ _H. Adlard, sc._
_London, Pubd. by Longman & Co._]
The rod is recommended to be made of about three eighths of an inch
in diameter: the leaden cylinder is to be cast with a hole through
its centre, which will admit with perfect freedom the cylindrical end
of the rod. The cylinder is supported upon a nut, which screws on the
end of the rod in the usual manner. This pendulum is represented at
_fig. 224._
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