It is obvious that all that has been said respecting a variable
weight or resistance, is also applicable to a variable power, which,
therefore, may, by the same means, be made to produce a uniform effect.
An instance of this occurs in a watch, which is moved by a spiral
spring. When the watch has been wound up, this spring acts with its
greatest intensity, and as the watch goes down, the elastic force of
the spring gradually loses its energy. This spring is connected by a
chain with an axle of varying thickness, called a _fusee_. When the
spring is at its greatest intensity, the chain acts upon the thinnest
part of the fusee, and as it is uncoiled it acts upon a part of the
fusee which is continually increasing in thickness, the spring at the
same time losing its elastic power in exactly the same proportion. A
representation of the fusee, and the cylindrical box which contains
the spring, is given in _fig. 98._, and of the spring itself in
_fig. 99._
(256.) When great power is required, wheels and axles may be combined
in a manner analogous to a compound system of levers, explained
in (246.) In this case the power acts on the circumference of the
first wheel, and its effect is transmitted to the circumference
of the first axle. That circumference is placed in connection with
the circumference of the second wheel, and the effect is thereby
transmitted to the circumference of the second axle, and so on. It
is obvious from what was proved in (248.), that the power of such a
combination of wheels and axles will be found by multiplying together
the powers of the several wheels of which it is composed. It is
sometimes convenient to compute this power by numbers expressing the
proportions of the circumferences or diameters of the several wheels,
to the circumferences or diameters of the several axles respectively.
This computation is made by first multiplying the numbers together
which express the circumferences or diameters of the wheels, and then
multiplying together the numbers which express the circumferences or
diameters of the several axles. The proportion of the two products
will express the power of the machine. Thus, if the circumferences or
diameters be as the numbers 10, 14, and 15, their product will be 2100;
and if the circumferences or diameters of the axles be expressed by the
numbers 3, 4, and 5, their product will be 60, and the power of the
machine will be expressed by the proportion of 2100 and 60, or 35 to 1.
[Illustration: _H. Adlard, sc._
_London, Pubd. by Longman & Co._]
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