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A wave is a rhythmic disturbance that
transfers energy through space or matter.
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A wave possesses kinetic energy of
motion.
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In transverse waves the top of wave form
is called the crest (an antinode) while
bottom is the trough (another antinode).
See drawings given in class.
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Wavelength
is the linear distance between any two corresponding points on
consecutive waves.
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The amplitude
of a wave is the distance a wave rises or falls from its usual resting
position. The amplitude of a wave is dependent on the energy that
creates the wave.
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The frequency
of a wave refers to the number of waves that pass a given point in one
second. The frequency of a vibration is expressed using a unit called
hertz. One hertz (Hz) is one
vibration (one back and forth motion or one crest and trough
combination) per second. For example: when a tuning fork
with a frequency of 256 Hz is struck, it will vibrate 256 times in one
second.
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The period
is the time it takes fro one complete vibration. The period is
inversely related to the frequency. As the period increases, the
frequency decreases. As the period decreases, the frequency
increases.
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The velocity
(related to speed) of a wave depends on the wavelength and the frequency
of a wave. The velocity of a wave is the wavelength times the
frequency of the wave.
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When a person speaks, vibrations of the
vocal cords produce sound waves. Sound waves usually travel faster
through solids than through liquids or gases. Since they require a
medium to travel through, sound waves will not travel through a vacuum.
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The loudness
of a sound, often referred to as the intensity,
is dependent upon the amplitude of the wave. As amplitude
increases, loudness increases. The intensity of a sound is
expressed in units called decibels.
The intensity of a sound is related to the pressure on the eardrum.
A sound of 120 decibels is intense enough to cause pain in the ear.
The softest sound that can be heard is 0 decibels, while normal talking
is about 65 decibels.
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The pitch of
a sound refers to its highness or lowness. The pitch of a sound
depends on frequency. The higher the frequency, the higher the
pitch. The pitch of a sound changes when the sound or the listener
moves. When you listen to a siren on an approaching vehicle, the
pitch of the sound appears to increase as the vehicle approaches (pitch
decreases for vehicle going away). However, the pitch of the sound
does not change. Instead, the number of vibrations that reach your
ear is changed when the source of the sound moves. Therefore, the
pitch appears to be higher or lower depending on whether the sound is
moving toward or away from you. This rise and fall of pitch due to
relative motion between the observer and the source of the sound is
called the doppler effect. |
Review Items:
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Node: displacement
from central line = 0 (no motion)
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Crest/Trough = antinode
(maximum amplitude/disturbance)
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Wavelength:
distance between any two equivalent points
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Frequency: count
equivalent points passing in time (vps = vibrations per second or cps =
cycles per second
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Hertz = 1 vbs = 1cps = s1
Hz
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Period = amount of time
for particular event to occur
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Amplitude = loudness of
sound
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Energy of wave is
proportional to square of amplitude. To double amplitude, it would
take 4 times as much energy - if you reduce the energy by 100 (1% as
much energy) you reduce the amplitude by factor of 10 (10% of original
value).
Wave Equation:
V =
λ • f
λ = V
• T
f = 1 /
T
where V = velocity,
λ = wavelength (lambda),
f
= frequency, T = period
Electromagnetic waves (visible
light, UV, infrared, TV, radio, microwave, gamma, etc.) travel at the speed
of light (c) which equals 3.0 E 8 m/s or 186 282 miles/second
Using V
= λ • f
(and assuming v = c which is a constant)
a) increasing the λ decreases the
f
b) decreasing the
λ increases the f
example: 6 = 3 f
( f
would = 2) 6 = 6 f
( f
would = 1)
Using
f = 1 / T
a) as T increases, f
decreases
b) as T decreases, f
increases
Using V
= λ • f
a) Given a speed of sound of 352 m/s and a
note "A" = 440 Hz:
352 m/s =
λ •
440 Hz
λ = 0.8 m
Sound
Sound =
vibrations of matter (sound and other longitudinal waves require particle of
matter to travel through). The closer the molecules are together the
louder the sound.
Speed
of sound in air at 0° C = 331 m/s or about 1100 ft/s (speed varies
with temperature, as temperature increases the speed increases)
For
every degree above 0° C multiply by 0.6 / t
example: 35° C = 331 m/s + (0.6
• 35°
C) = 352 m/s
Sound
travels about 12 times as fast as a car at 60 miles/hour