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
129. =Great Effects from Small Quantities of a Fluid.=--You are
now prepared to understand the explanation of some very striking
phenomena in the pressure of liquids. If you take a perfectly
tight cask, and, filling it with water, screw into its top a long
tube, by pouring water into the tube you can burst the cask. To
understand this you must bear in mind two facts--that the fluid
in the cask is not compressible, and that its particles move
freely among each other. Any pressure, therefore, exerted upon it
is felt through the whole of it equally. "If the tube," says Dr.
Arnot, "have an area of a fortieth of an inch, and contain when
filled half a pound of water, this produces a pressure of half a
pound upon every fortieth of an inch all over the interior of the
cask; which is more than a common cask can bear." Suppose a small
reservoir of water exists in the side of a mountain wholly closed
up, and that water from a height above finds its way to it by a
crevice, it may by its pressure even burst open the side of the
mountain. And it matters not how large or small the crevice may be,
for pressure in a liquid is only as the height. If the reservoir be
ten yards square and an inch deep, and the fissure leading to it
be but an inch in diameter and two hundred feet in height, it is
calculated that the pressure of the water in the fissure would be
equal in force to the weight of 5000 tons.
[Illustration: Fig. 83.]
130. =Explanation.=--The manner in which these effects are produced
may be made clear by Fig. 83. Let A be a close vessel filled with
water, and let a tube, _b_, be made fast in it, with a movable
plug or piston at _c_. If the surface of the water be pressed
upon by this piston with the force of a pound, as the water is
incompressible and its particles are freely movable among each
other, the pressure will be extended equally through all the
water, and every portion of the vessel of equal extent with the
tube's opening at _c_ will be pressed upon with the force of a
pound. If another tube, _d_, of the same size were inserted with a
piston, _i_, the force of a pound applied to the piston _c_ would
push upward the piston _i_ with the same force. And if there were
several pistons of the same size, by pushing upon one with the
force of a pound they would all be pressed upward with exactly this
force. Farther, if _e_ be a tube five times as large as _b_, its
piston, _n_, will be forced upward with a pressure of five pounds
by the downward pressure of a pound upon _c_. Suppose now that
a pound of water were substituted for the piston _c_, the other
pistons would be pressed upward as before. And if all the pistons
be removed, the pound of water in _b_ will press the water up the
tube _d_ with the force of a pound, and up the tube _e_ with the
force of five pounds.
[Illustration: Fig. 84.]
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