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Sound Propagation
• A sound is produced by a momentary disturbance of air particles that move back & forth.
Definitions
• Compression: The movement of air particles closer together causing an increase in pressure at a point. Regions of compressed air are called peaks.
• Rarefaction: When air molecules move further apart than their normal “resting” position, an expansion of the inter-molecule and hence a decrease of pressure occurs. Regions of rarified air is known as valleys.
Note: There is no movement of matter!
Air particles move only locally around their rest positions
Speed of sound 1129 feet/sec 340 m/sec
(350 m/sec in VT)
770 mph
Speed of breath stream
1 foot/sec 1 mph
1. Voice Source
• Disturbance of air in
glottis →vocal tract → outside
• E.g. Vowels, nasals, approximants
2. Noise SourceDisturbance of air in a constricted area
a) Flow of air forms a jet and turbulent fluctuations in air velocity observed downstream.
b) Creation of turbulence by the rapid flow of air against an obstacle or a surface.
Case b produces much stronger sound intensities: Voiceless Sibilants: [, , t,]Voiceless Non-sibilants: [f, ]
What about other sounds?
Voicing + Noise
Voicing + Transient
Transient + noise
Transient + noise + voicing
Voiced fricatives
Voiced Stops
Voiceless Affricates
Voiced Affricates
The Period of a Pendulum
• Pendulum: A suspended object (bob).
• Period (t): The time taken to complete a back & forth movement.
• The period of a pendulum depends only upon the length of the pendulum.
• The longer the length, the longer the period.
len
gth
Period (t) or Cycle
Question
• If two pendula have the same length, but one has a 2 pound weight on its end while the other has only a 1 pound weight, which will have the longer period?
Answer
• If two pendula have the same length, but one has a 2 pound weight on its end while the other has only a 1 pound weight, which will have the longer period?
• They will have the same period.
Frequency of a Pendulum
• The frequency of a pendulum is the number of cycles (periods) completed in a unit of time.
• f =1/t• f = frequency t =period
Question
• The period of a grandfather clock pendulum is 2 seconds.
• How many cycles per second?
• How many cycles per minute?
Answer• The period of a grandfather
clock pendulum is 2 seconds.• How many cycles per second?• f= 1/t f=1/2 cycle per
sec
• How many cycles per minute? • 1min=60 sec
• 1 ½• 60 x
• 60 * ½ /1= 30 cycles per min
Amplitude of a Pendulum
• Amplitude of a pendulum: The distance from the center, rest position to the point of maximum displacement.le
ng
th
amplitude
Amplitude of a Wave
• Amplitude of a wave: The distance from the center, rest position of the wave to the point of maximum displacement.
amplitude
Question
• If 30 waves pass under your boat per minute and the length of each wave is 2 meters, what is the speed of the waves?
Answer
• If 30 waves pass under your boat per minute and the length of each wave is 2 meters, what is the speed of the waves?
• v=λf• v=2meters * 30 waves/min.• v=60 meters/min
Longitudinal Waves
• Waves that travel parallel to the direction of the wave.
• Sound waves are longitudinal waves.
• Longitudinal waves are composed of rarefaction & compression.
1. Simple Harmonic Motion
• A motion that repeats itself at a fixed number of times in a second, i.e. it has only one frequency of vibration.
• E.g.
1. Swing of a pendulum
2. Swing of a swing
Periodic Wave/Sine Wave
• Periodic Wave: A wave in which the same exact pattern of air pressure variation is repeated exactly over and over.
• Sine Wave: A periodic wave that has a smooth and symmetrical curve connecting the points of maximum and minimum pressure.
Sounds made by simple harmonic motion of an elastic medium
• Pure Tones: Simplest of all sound patterns. Has only one frequency of vibration. It is the result of a vibration that repeats itself at a constant number of cycles per second.
• E.g. a sound made by:1. A tuning fork2. The pluck of a guitar
string3. Vibration of the sides of
a glass when tapped
Aperiodic Waves
• Aperiodic waves do not repeat themselves as a function of time.
• E.g. static on radio, sudden explosion,• and fricatives, white noise (sounds like the
hissing of a radiator
Sounds Made by such Movements
• Almost all sound in the real world are the result of complex movements.
Complex Waves
• Almost all sounds in nature are complex, i.e. they have more than one frequency of vibration.
Periodic Complex Wave
periodic + + - -
complex + - + -
e.g.,vowels
’pure tone’ voicelessfricatives
non-existant
voiced fricatives
Classification of Speech Sound Waves