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
Before we dismiss the experiment, let me say one or two more words
about it. You notice when it is proceeding that the luminous wavy
line is a regular and symmetrical one. This shows us that the
motion of the prong of the fork is similarly regular. This kind of
backwards-and-forwards motion is called an _harmonic motion_, or a
_simple periodic motion_. It is very similar to the kind of movement
executed by the piston of a steam-engine as it oscillates to and fro.
The exact nature of the wavy line of light you see upon the screen can
be delineated by a line drawn as follows: On a sheet of paper describe
a circle, and divide its circumference into twelve equal parts (see
Fig. 45). Through the centre and through each of these points on the
circumference draw parallel lines. Divide up a length of the line drawn
through the centre into twelve equal parts, and number these divisions
1 to 12. Number also the points on the circumference of the circle.
Through the twelve points on the horizontal line erect perpendiculars.
Make a dot at the intersection of the perpendicular, or ordinate,
as it is called, drawn through point 1 on the horizontal line, and
the horizontal through point 1 on the circumference of the circle.
Do this for all the twelve intersections, and then carefully draw a
smooth curve through all these points. We obtain a wavy curve, which is
called a _sine curve_, or _simple harmonic curve_, and is the same form
of curve as that exhibited on the screen in the experiment with the
tuning-fork and spot of light. The piece of the curve drawn as above is
called _one wave-length_ of the harmonic curve.
[Illustration: FIG. 45.—A simple harmonic curve.]
In our case the tuning-fork is making one hundred complete vibrations
(to _and_ fro) per second. Hence the periodic time, or time occupied by
one complete wave, is the hundredth part of a second. To realize what
this small interval of time means, it is sufficient to remember that
the hundredth part of a second is to one second as the duration of this
lecture (one hour) is to four days and nights.
The prongs of a sounding tuning-fork or the surface of a gong or a
bell, when struck, are therefore in rapid motion. We can then proceed
to an experiment fitted to indicate the difference between those
motions in sounding bodies which create musical tones, and those which
create mere noises or vocal sounds.
Public-domain text, read in full here on John Shaqi.
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