Science for the School and Family, Part I. Natural PhilosophyHooker, Worthington
Science
Science for the School and Family, Part I. Natural Philosophy
Hooker, Worthington
Physics; Science
To make this still more clear I will present it in a little
different form. Let B, Fig. 84, be a close vessel with two tubes,
one of which is five times as large as the other. If sufficient
water be poured into the vessel to occupy a part of the tubes, it
will stand at the same height in both tubes, as indicated. If there
be a pound of water, then, in the tube _c_, there will be five
pounds in _a_. Now if the five pounds of water in _a_ made any more
pressure on the whole body of water in B than the pound of water in
_c_ does, it would press up the water in _c_ to a greater height.
But this is impossible, as has been shown in § 118. Observe that
the five pounds of pressure in _a_ is spread over five times the
area or extent of surface that the pound's pressure in _c_ is. If
the tube _c_ have an area of an inch square, the water in it will
exert a pressure of a pound on every square inch in the vessel.
The water in _a_ exerts a pressure of five pounds; but it must be
remembered that it does not press with this force on every square
inch, but on every space of five square inches, and that therefore
its pressure on every inch is the same as that in the tube _c_.
131. =Hydrostatic Paradox.=--You see in the phenomena and
explanations given above that a small quantity of a fluid can,
under certain circumstances, exert an enormous pressure. This fact
has been called the Hydrostatic Paradox. It does seem, at first
view, incredible or paradoxical, when one asserts that a few ounces
of water can be made to raise weights of hundreds or even thousands
of pounds. But the explanations which I have given show you that
there is no unexplainable mystery in the fact. The cause of it is
the same as that which gives a level surface to liquids; viz., the
force of gravitation acting upon a substance whose particles are
freely movable among each other.
[Illustration: Fig. 85.]
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