A cubic inch of water weighs about 252 grains and a half. Suppose that
the tin box in the previous experiment was square, and had the bulk of
100 cubic inches, then the weight of a corresponding volume of water
would be 25,250 grains. If the box weighed 8,416 grains, just a third of
its bulk would be immersed; if 12,625 grains, half; if 16,832 grains, it
would sink two-thirds of its volume, and so on. Or, if, when the box is
floating, you make a mark upon its side at the exact level of the
surface of the water, the bulk of that portion of the box which lies
below the water-level can be ascertained. Suppose it to be thirty cubic
inches, then the weight of the box will be 30 × 252·5 or 7575 grains.
Hence it may be said that the immersed part of a floating body takes the
place of the water which it displaces, and, as it were, represents it.
If you press downwards upon the floating box, there is a feeling of
resistance as it descends, and when the pressure is taken off, the body
immediately rises again. Hence the water presses upwards against the
bottom of the floating body. But it also presses against the sides, for
if the sides of the box are very thin they will be driven in. If a thin
empty bottle is tightly corked and lowered into deep water the cork will
be driven in, or else the bottle will be crushed.
27. =Water presses in all Directions.=
Thus water presses in all directions upon things which are immersed in
it.
If a long wooden or metal pipe, placed vertically, has its lower end
stopped with a cork which does not fit very tightly, and water is poured
into the top of the tube, the water will at first fill the part of the
tube above the cork, and its weight will exert a certain =pressure= on
the cork. In fact, if the end of the tube is stopped by applying the
palm of the hand closely against it, the downward pressure of the water
will have to be overcome by a certain amount of effort. As the water
accumulates, this downward pressure will become greater and greater
until the hand is driven away, or the cork is forced out, and the water
falls to the ground. The pressure in this case is the same as the weight
of the water, and the cork would have been driven out equally well by a
rod of lead of the same weight.
Suppose the tube to be square, and that the inside of the square
measures exactly one inch each way. Then an inch of height of the tube
will hold exactly one cubic inch of water. Since one cubic inch of water
weighs 252 grains and a half, as much water as will fill the tube about
two feet three inches and a half high, will weigh a pound (7,000
grains), and fifteen pounds of water will fill such a tube between
thirty-three and thirty-four feet high. And these respective weights
measure the pressure of two columns of water, one twenty-seven and a
half inches high, and the other nearly thirty-four feet high, on a
square inch of the surface on which they rest.
Public-domain text, read in full here on John Shaqi.
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