Conversations on Natural Philosophy, in which the Elements of that Science are Familiarly ExplainedMarcet, Mrs. (Jane Haldimand)
Science
Conversations on Natural Philosophy, in which the Elements of that Science are Familiarly Explained
Marcet, Mrs. (Jane Haldimand)
Physics
_Caroline._ The pressure downwards is very natural; it is the effect of
gravity; one particle, weighing upon another, presses on it; but the
pressure sideways, and particularly the pressure upwards, I cannot
understand.
_Mrs. B._ If there were no lateral pressure, water would not run out of
an opening on the side of a vessel. If you fill a vessel with sand, it
will not continue to run out of such an opening, because there is
scarcely any lateral pressure among its particles.
_Emily._ When water runs out of the side of a vessel, is it not owing to
the weight of the water, above the opening?
_Mrs. B._ If the particles of fluids were arranged in regular columns,
thus, (fig. 2.) there would be no lateral pressure, for when one
particle is perpendicularly above the other, it can only press
downwards; but as it must continually happen, that a particle presses
between two particles beneath, (fig. 3.) these last, must suffer a
lateral pressure.
_Emily._ The same as when a wedge is driven into a piece of wood, and
separates the parts, laterally.
_Mrs. B._ Yes. The lateral pressure proceeds, therefore, entirely from
the pressure downwards, or the weight of the liquid above; and
consequently, the lower the orifice is made in the vessel, the greater
will be the velocity of the water rushing out of it. Here is a vessel of
water (fig. 5.), with three stop cocks at different heights; we shall
open them, and you will see with what different degrees of velocity, the
water issues from them. Do you understand this, Caroline?
_Caroline._ Oh yes. The water from the upper spout, receiving but a
slight pressure, on account of its vicinity to the surface, flows but
gently; the second cock, having a greater weight above it, the water is
forced out with greater velocity, whilst the lowest cock, being near the
bottom of the vessel, receives the pressure of almost the whole body of
water, and rushes out with the greatest impetuosity.
_Mrs. B._ Very well; and you must observe, that as the lateral pressure,
is entirely owing to the pressure downwards, it is not affected by the
horizontal dimensions of the vessel, which contains the water, but
merely by its depth; for as every particle acts independently of the
rest, it is only the column of particles immediately above the orifice,
that can weigh upon, and press out the water.
_Emily._ The breadth and width of the vessel then, can be of no
consequence in this respect. The lateral pressure on one side, in a
cubical vessel, is, I suppose, not so great as the pressure downwards
upon the bottom.
_Mrs. B._ No; in a cubical vessel, the pressure downwards will be double
the lateral pressure on one side; for every particle at the bottom of
the vessel is pressed upon, by a column of the whole depth of the fluid,
whilst the lateral pressure diminishes from the bottom upwards to the
surface, where the particles have no pressure.
Public-domain text, read in full here on John Shaqi.
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