Waves and ripples in water, air, and æther : $b Being a course of Christmas lectures delivered at the Royal Institution of Great BritainFleming, J. A. (John Ambrose), Sir
Science
Waves and ripples in water, air, and æther : $b Being a course of Christmas lectures delivered at the Royal Institution of Great Britain
Fleming, J. A. (John Ambrose), Sir
Electric waves; Sound; Waves
The speed of sound increases with the temperature. For every degree
Fahrenheit above the melting-point of ice (32° Fahr.) the speed is
increased by one foot per second. A more accurate rule is as follows:
Take the temperature of the air in degrees Centigrade, and add to this
number 273. In other words, obtain the value of 273 + _t°_ where _t°_
is the temperature of the air. Then the velocity of sound in feet per
second at this temperature is equal to the value of the expression—
1090√((273 + _t°_)/273)
There is one point in connection with the velocity of propagation of a
sound wave which should not be left without elucidation. It has been
explained that the velocity of a wave in any medium is numerically
given by the number obtained by dividing the square root of the
elasticity of the medium by the square root of its density. The number
representing the elasticity of a gas is numerically the same as that
representing its absolute pressure per square unit of surface. The
volume elasticity of the air may therefore be measured by the absolute
pressure it exerts on a unit of area such as 1 square foot. At the
earth’s surface the pressure of the air at 0° C. is equal to about
2116·4 lbs. per square foot. The absolute unit of force in mechanics
is that force which communicates a velocity of 1 foot per second to a
mass of 1 lb. after acting upon it for 1 second. If we allow a mass
of 1 lb. to fall from rest under the action of gravity at the earth’s
surface, it acquires after 1 second a velocity of 32·2 feet per second.
Hence the force usually called “a pressure of 1 lb.” is equal to 32·2
absolute units of force. Accordingly, the atmospheric pressure at the
earth’s surface is 2116·4 × 32·2 = 68,148 absolute units of force in
that system of measurement in which the foot, pound, and second are the
fundamental units.
The absolute density of the air is the mass of 1 cubic foot: 13 cubic
feet of air at the freezing-point, and when the barometer stands at 30
inches, weigh nearly 1 lb. More exactly, 1 cubic foot of air under
these conditions weighs 0·080728 lb. avoirdupois. If, then, we divide
the number representing the absolute pressure of the air by the number
representing the absolute density of air, we obtain the quotient
844,168; and if we take the square root of this, we obtain the number
912·6.
Public-domain text, read in full here on John Shaqi.
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