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The Physics of Sound
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Sound: a series of disturbances of molecules within, and propagated through, an elastic medium or… Sound: is an alteration in the pressure, particle displacement propagated in an elastic medium Elasticity: capacity of a medium to return to its original position after being altered Brownian motion: heat effects particle velocity = + heat = + velocity
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Sound Wave
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Sine Wave
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Compression\ Rarefaction
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Degrees of Wave
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Wave Length
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Velocity Acceleration = increase in velocity Deceleration = decrease in velocity Increase density = increase V. (fastest in solids, then liquids, then gases)
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Degrees of Sine wave
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Sound Characteristics
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Damping Free vibration - when no outside force is added to vibration Lightly damping - when vibrations of a mass decay over time Heavy damping - “ “ “ “ “ “ “ “ “ rapidly Critically “ - “ “ “ “ “ “ “ before 1 Hz. Forced vibration - when outside force is added to vibration. When removed = free vibration
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Vibrator Length, Mass and Stiffness If length decreases = frequency increases If length increases = frequency decreases If increase in mass = decrease in frequency If increase in stiffness = increase in frequency
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Vibration Periodic - a waveform that repeats over time (i.e. speech) Aperiodic - a waveform that doesn’t repeat over time (noise)
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Fourier Analysis
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Frequency : Pitch :: Intensity : Loudness Frequency is the number of complete oscillations of a vibrating body per unit of time (in audiology we use Hertz Hz) Pitch is the subjective impression of highness or lowness of a sound. The psychological correlate of frequency. Intensity is the amount of sound energy per unit of area (dB) Loudness is the subjective impression of the power of a sound. It is the psychological correlate of intensity (sones)
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Resonance Resonance - the ability of a mass to vibrate at a particular frequency with a minimum application of external force. Also the ability of a vibrator to put another vibrator into vibration. Resonant frequency - the frequency at which a mass vibrates with the least amount of external force; the natural frequency of vibration of a mass
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Fundamental frequency/overtones/harmonics Fundamental frequency - the lowest frequency of vibration in a complex wave Overtones - any whole number multiple of the fundamental frequency of a complex wave Harmonic - same as overtones except in numbering system (i.e. 1st overtone is = to 2nd harmonic)
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Formant
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Impedance Opposition to the path of sound. Denser the object the more the impedance
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Sound Measurement Audiometer air conduction bone conduction speech (sound field, free field and under phones) Sound level meter A scale B scale C scale
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Intensity/Decibel It involves a ratio It involves a logarithm It is therefore non-linear It is expressed in terms of various reference levels which must be specified It is a relative unit of measure 3 dB increase, if intensity levels are doubled
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dB Levels
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Force and Pressure Force - the impetus required to institute or alter the velocity of a body. A Newton is also a measure of force. Pressure - force over an area of surface (i.e. Pascals.0002 dynes per cm2 = the smallest pressure variation for hearing. Sound Pressure Level (SPL).0002 dynes per centimeter squared = 20 micropascals = 0 dB SPL
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Thresholds The softest level an individual can hear a sound 50% of the time. Threshold of pain is about 140 dB (SPL) Sensation Level (SL) = dB above threshold
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Power the rate at which work is done. Units of measurement are: watts, or ergs per/sec.
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Audiometric Zero Standards ASA 1951 ISO 1964 ANSI 1996
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