On the Connexion of the Physical SciencesSomerville, Mary
Science
On the Connexion of the Physical Sciences
Somerville, Mary
Physical sciences; Science
of a wave is equal to the space between two ears precisely in the same
state of motion, or which are moving similarly, and the time of the
vibration of each ear is equal to that which elapses between the arrival
of two successive waves at the same point. The only difference between
the undulations of a corn-field and those of the air which produce sound
is, that each ear of corn is set in motion by an external cause, and is
uninfluenced by the motion of the rest; whereas in air, which is a
compressible and elastic fluid, when one particle begins to oscillate,
it communicates its vibrations to the surrounding particles, which
transmit them to those adjacent, and so on continually. Hence from the
successive vibrations of the particles of air the same regular
condensations and rarefactions take place as in the field of corn,
producing waves throughout the whole mass of air, though each molecule
like each individual ear of corn never moves far from its state of rest.
The small waves of a liquid, and the undulations of the air, like waves
in the corn, are evidently not real masses moving in the direction in
which they are advancing, but merely outlines, motions, or forms passing
along, and comprehending all the particles of an undulating fluid which
are at once in a vibratory state. It is thus that an impulse given to
any one point of the atmosphere is successively propagated in all
directions, in a wave diverging as from the centre of a sphere to
greater and greater distances, but with decreasing intensity, in
consequence of the increasing number of particles of inert matter which
the force has to move; like the waves formed in still water by a falling
stone, which are propagated circularly all around the centre of
disturbance (N. 160).
The intensity of sound depends upon the violence and extent of the
initial vibrations of air; but, whatever they may be, each undulation
when once formed can only be transmitted straight forwards, and never
returns back again unless when reflected by an opposing obstacle. The
vibrations of the aërial molecules are always extremely small, whereas
the waves of sound vary from a few inches to several feet. The various
musical instruments, the human voice and that of animals, the singing of
birds, the hum of insects, the roar of the cataract, the whistling of
the wind, and the other nameless peculiarities of sound, show at once an
infinite variety in the modes of aërial vibration, and the astonishing
acuteness and delicacy of the ear, thus capable of appreciating the
minutest differences in the laws of molecular oscillation.
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