60. These experiments were conducted in the following manner. A certain
fixed weight was attached to a pulley, as in the figure. The weight
had, of course, a tendency to descend, and hence to turn the pulley
round. The pulley had its axle supported upon friction wheels, at _f_
and _f_, by means of which the friction caused by the movement of the
pulley was very much reduced. A string, passing over the circumference
of the pulley, was wrapped round _r_, so that, as the weight descended,
the pulley moved round, and the string of the pulley caused _r_ to
rotate very rapidly. Now, the motion of the axis _r_ was conducted
within the covered box B, where there was attached to _r_ a system of
paddles, of which a sketch is given in figure; and therefore, as _r_
moved, these paddles moved also. There were, altogether, eight sets of
these paddles revolving between four stationary vanes. If, therefore,
the box were full of liquid, the paddles and the vanes together would
churn it about, for these stationary vanes would prevent the liquid
being carried along by the paddles in the direction of rotation.
Now, in this experiment, the weight was made to descend through a
certain fixed distance, which was accurately measured. As it descended,
the paddles were set in motion, and the energy of the descending weight
was thus made to churn, and hence to heat some water contained in the
box B. When the weight had descended a certain distance, by undoing a
small peg _p_, it could be wound up again without moving the paddles
in B, and thus the heating effect of several falls of the weight could
be accumulated until this became so great as to be capable of being
accurately measured by a thermometer. It ought to be mentioned that
great care was taken in these experiments, not only to reduce the
friction of the axles of the pulley as much as possible, but also to
estimate and correct for this friction as accurately as possible; in
fact, every precaution was taken to make the experiment successful.
61. Other experiments were made by Joule, in some of which a disc was
made to rotate against another disc of cast-iron pressed against it,
the whole arrangement being immersed in a cast-iron vessel filled
with mercury. From all these experiments, Dr. Joule concluded that
the quantity of heat produced by friction, if we can preserve and
accurately measure it, will always be found proportional to the
quantity of work expended. He expressed this proportion by stating the
number of units of work in kilogrammetres necessary to raise by 1° C.
the temperature of one kilogramme of water. This was 424, as determined
by his last and most complete experiments; and hence we may conclude
that if a kilogramme of water be allowed to fall through 424 metres,
and if its motion be then suddenly stopped, sufficient heat will be
generated to raise the temperature of the water through 1° C., and so
on, in the same proportion.
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