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
One thing that has been noticed by all who have experimented with this
subject is the curious occurrence of “areas of silence.” That is to
say, a certain siren will be well heard close to its position. Then a
little farther off the sound will be lost, but on going farther away
still it is heard again.
Many theories have been advanced to account for this, but none are
completely satisfactory. It is, however, a well-established effect, and
one with which it behoves all mariners to be acquainted.
One curious fact is the very great power that can be absorbed in
creating a loud siren note. Thus in one case, a siren giving a high
note was found to absorb as much as 600 horse-power when the note was
sounded continuously. The most striking and in one sense the most
disappointing thing about these loud sounds is the small distance
which they travel in certain states of the wind. As a general result,
it has been found that the most effective sound for coast-warnings
is one having a frequency of 100, or a wave-length of about 10 feet.
When dealing with the subject of waves in general, it was pointed
out that the velocity of a wave depended upon the elasticity and the
density of the medium in which it was being propagated. In the case of
a sound wave in air or any other gas, the speed of wave-transmission
is proportional to the square root of the elasticity of the gas, and
inversely proportional to the square root of the density.
At the same temperature the elasticity of a gas may be taken to be
the same as its pressure. Hence, at the same pressure, the speed of
sound-wave transmission through different gases varies inversely as
the square root of their densities. An example will make this clear. If
we take the density of hydrogen gas to be unity (= 1), then the density
of oxygen is 16. The ratio of the densities is therefore 1 to 16, and
the square roots of the densities are as √(1) to √(16), or as 1 to 4.
Accordingly, the velocity of sound waves in hydrogen gas is to that in
oxygen gas as 1 is to ¹⁄₄. In other words, sound travels four times
faster in hydrogen than it does in oxygen at the same temperature and
pressure. The following table shows the velocity of sound in different
gases at the melting-point of ice (= 0° C.) and atmospheric pressure (=
760 mm. barometer).
Gas. Velocity.
Hydrogen 4163 feet per second
Carbonic oxide 1106 ” ”
Air 1090 ” ”
Oxygen 1041 ” ”
Carbonic acid 856 ” ”
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