Lesson
1: The Nature of a Sound Wave
Mechanical Wave
Longitudinal Wave
Pressure Wave
Lesson 2: Sound Properties and
Their Perception
Pitch and Frequency
Intensity/Decibel Scale
The Speed of Sound
The Human Ear
Lesson 3: Behavior of Sound
Waves
Interference and Beats
The Doppler Effect and Shock
Waves
Boundary Behavior
Reflection, Refraction, and
Diffraction
Lesson 4: Resonance and
Standing Waves
Natural Frequency
Forced Vibration
Standing Wave Patterns
Fundamental Frequency and
Harmonics
Lesson 5: Musical
Instruments
Resonance
Guitar Strings
Open-End Air Columns
Closed-End Air Columns
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Lesson 1: The Nature of a
Sound Wave
Sound is a Pressure
Wave
Sound is a mechanical
wave which results from the longitudinal motion of
the particles of the medium through which the sound wave
is moving. If a sound wave is moving from left to right
through air, then particles of air will be displaced both
rightward and leftward as the energy of the sound wave
passes through it. The motion of the particles parallel
(and anti-parallel) to the direction of the energy
transport is what characterizes sound as a longitudinal
wave.
A
vibrating tuning fork is capable of creating such a
longitudinal wave. As the tines of the fork vibrate back
and forth, they push on neighboring air particles. The
forward motion of a tine pushes air molecules
horizontally to the right and the backward
retraction of the tine creates a low pressure area
allowing the air particles to move back to the left.
Because of the longitudinal motion of the air particles,
there are regions in the air where the air particles are
compressed together and other regions where the air
particles are spread apart. These regions are known as
compressions and
rarefactions
respectively. The compressions are regions of high air
pressure while the rarefactions are regions of low air
pressure. The diagram below depicts a sound wave created
by a tuning fork and propagated through the air in an
open tube. The compressions and rarefactions are
labeled.
The
wavelength of a wave
is merely the distance which a disturbance travels along
the medium in one complete wave cycle. Since a wave
repeats its pattern once every wave cycle, the wavelength
is sometimes referred to as the length of the repeating
pattern - the length of one complete wave. For a
transverse wave, this length is commonly measured from
one wave crest to the next adjacent wave crest, or from
one wave trough to the next adjacent wave trough. Since a
longitudinal wave does not contain crests and troughs,
its wavelength must be measured differently. A
longitudinal wave consists of a repeating pattern of
compressions and rarefactions. Thus, the wavelength is
commonly measured as the distance from one compression to
the next adjacent compression or the distance from one
rarefaction to the next adjacent rarefaction.
Since a sound wave
consists of a repeating pattern of high pressure and low
pressure regions moving through a medium, it is sometimes
referred to as a pressure
wave. If a detector, whether it be the human
ear or a man-made instrument, is used to detect a sound
wave, it would detect fluctuations in pressure as the
sound wave impinges upon the detecting device. At one
instant in time, the detector would detect a high
pressure; this would correspond to the arrival of a
compression at the detector site. At the next instant in
time, the detector might detect normal pressure. And then
finally a low pressure would be detected, corresponding
to the arrival of a rarefaction at the detector site.
Since the fluctuations in pressure as detected by the
detector occur at periodic and regular time intervals, a
plot of pressure vs. time would appear as a sine curve.
The crests of the sine curve correspond to compressions;
the troughs correspond to rarefactions; and the "zero
point" corresponds to the pressure which the air would
have if there were no disturbance moving through it. The
diagram below depicts the correspondence between the
longitudinal nature of a sound wave and the pressure-time
fluctuations which it creates.
The above diagram can be somewhat
misleading if you are not careful. The representation of
sound by a sine wave is merely an attempt to illustrate
the sinusoidal nature of the pressure-time fluctuations.
Do not conclude that sound is a transverse wave which has
crests and troughs. Sound is indeed a longitudinal wave
with compressions and rarefactions. As sound passes
through a medium, the particles of that medium do not
vibrate in a transverse manner. Do not be misled - sound
is a longitudinal wave.
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