The energy of moving water is thus measured by the intensity of the
opposing forces which it can overcome multiplied into the distance which
it can travel before that energy is exhausted; that is to say, by the
work it does before it is itself reduced to a state of rest. In the case
under consideration, the energy by which gravity is overcome, for a
greater or less time, depends upon the velocity of the stream; and this
again depends upon the height of the water in the vat above the tap.
Just as the energy of the horizontal stream diminished as the level of
the water became lower, so does the energy of the vertical stream
diminish. Hence, as the vat empties, the jet becomes shorter and
shorter, until at last it sinks down to nothing.
The energy of moving water makes it, under some circumstances, one of
the most destructive of natural agents; and, under others, one of the
most useful servants of man. A stream is water falling down hill with a
velocity depending upon the inclination of its bed. As it falls it
acquires momentum and, hence, energy; and thus a mountain stream,
suddenly swollen by rain or melting snow, will tear away masses of rock
and sweep everything before it. Nothing can look softer or more harmless
than a calm sea, but if the wind sweeping over its surface puts the
water in motion, it strikes upon the shore with terrific force; and its
energy is expended in throwing up great waves, which lift vast blocks or
drive masses of shingle up the beach.
In all kinds of watermills it is the energy of more or less rapidly
falling water which is turned to account. The water is made to flow
against buckets or floats attached to the circumference of a wheel. Each
bucket or float is therefore an obstacle to which the water transfers
some of its own motion; it moves away and thus makes the wheel to which
it is fastened turn. But the turning of the wheel brings a new obstacle
in the way of the stream. This is treated in the same fashion, and the
wheel turns still further, thus introducing another obstacle in the way
of the stream upon which the same effect is produced. Thus each float,
or bucket, is a means by which some of the momentum of the stream is, as
it were, caught and transferred to the water-wheel, which consequently
turns round with a certain velocity.
But this water-wheel is now a mass of matter in motion, and therefore
itself contains a store of energy or power doing work. If a cord with a
weight at the end of it were fastened to the axle of the wheel, the cord
would be wound upon the axle, and the weight could be raised, or, in
other words, so much work would be done by the turning of the wheel and
we should thus have a rough measure of the amount of energy which had
been given up by the stream to the wheel.
Public-domain text, read in full here on John Shaqi.
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