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Dive into the philosophical and physical aspects of sound waves. Explore the causes and effects of sound, measurement of pressure, air movement, the forces involved in sound, components of sound waves, and more.
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Perry C. Hanavan, Au.D. Audiologist Civic Choir Parody
If a tree falls in the forest, and no one hears it, will there be a sound?...
If a tree falls in the forest, and no one hears it, will there be a sound?... This is an old philosophical dilemma which relies on using the word "sound" for two different purposes. One use is as a description of a particular type of physical disturbance: "Sound is an organized movement of molecules caused by a vibrating body in some medium - water, gas, solid or whatever." The other is as a description of a sensation: "Sound is the auditory sensation produced through the ear by the alteration ... in pressure, particle displacement, or particle velocity which is propagated in an elastic medium." Both definitions are correct, they differ only in the first being a cause and the second being an effect.
Nasty Noises • Nasty noises: Why do we recoil at unpleasant sounds? • MOST UNPLEASANT SOUNDSRating 74 sounds, people found the most unpleasant noises to be:1. Knife on a bottle2. Fork on a glass3. Chalk on a blackboard 4. Ruler on a bottle5. Nails on a blackboard6. Female scream7. Anglegrinder8. Brakes on a cycle squealing9. Baby crying10. Electric drill • LEAST UNPLEASANT SOUNDS1. Applause2. Baby laughing3. Thunder4. Water flowing
Sound • vibration (movement) • variation in sound pressure • transmission through a medium (gas, liquid, solid) • perceived by listener
Measurement: Pressure • Dynes dyne/cm2 • Pounds per square inch psi • microbar bar • Pascal Pa • centimeters of water cm H2O • millimeters of mercury mm Hg
Old vs. New Units of Measure Old New ------------------------------------------- dynes/cm2 Pascal psi microbar
Metric System • MKS • cgs • http://www.unc.edu/~rowlett/units/cgsmks.html • http://www.bipm.org/en/home/ • Metric System Rap
Pressure at different locations may vary • P atmos • P pos • P neg • P oral • P trach • P alveolar
Air (gas) • consists of molecules • Brownian motion • governed by predictable laws • equal dispersion throughout area
Air Movement • driving pressure: (difference in pressure) high pressure FLOWS to low pressure and low pressure FLOWS to high pressure areas • volume velocity: rate of flow • laminar flow: flow in a parallel manner • turbulent flow: non-parallel manner (flows around an object)
Question Boyle’s Law deals with? • Gravity • Force • Pressure changes with volume • Temperature • I don’t know
Air Pressure, Volume, Density • Volume: amount of space in three dimensions • Density: amount of mass per unit of volume • Boyle’s laws: as volume decreases, pressure increases
Question A condensation is? • Positive air pressure area • Negative air pressure area • Less molecules than other areas • “Rain Drops Keep Falling on My Head” • Speaking down to people
Air Pressure Changes from Sound • Condensation • Rarefaction Soundry Sound wave applet Amplitude Peak amplitude Wavelength Period
Propagation of Sound • Condensations • Rarefactions • Example of molecular motion • Components of sinusoid • Parts of a wave • Transverse wave simulation • Applet: Square, triangle, simulation • Various Sound applets
Forces of Sound • Inertia – body in motion • Elasticity – restoring force Newton’s Cradle
Hooke’s Law • Law of elasticity is an approximation that states that the extension of a spring is in direct proportion with the load applied to it. • Many materials obey this law as long as load does not exceed material's elastic limit called "Hookean" materials • Hookean materials: broad term including mechanics of vocalis muscles. • Hooke's law in simple terms says that stress is directly proportional to strain. • Mathematically, Hooke's law states that: F= -kx • YouTube video of Hooke’s Law • YouTube video of vibrating vocalis muscles
Components of Sound Wave • Amplitude • Frequency – number of cycles per second • Period – time to complete one cycle • Wavelength – distance traveled in one cycle Pendulum Simulation Sounds in Air Sims
Examples • Piano Note • Timbre • Physics of Sound • The Missing Fundamental Effect • Pitch as a linear scale • Octave effect • Piano Octaves • Pitch as a helix • Pitch chroma circle • Shepard tone • Endless staircase - visual illusion • Endless staircase - Shepard illusion • Shepard discrete steps [wav] [mp3] • Risset continuous change [wav] [mp3]
Length/Mass/Tension and Frequency • Length • Mass • Tension
Interference • Interference • Constructive • Destructive • Fourier analysis
Sound Waves • Simple • Complex Periodic • Fundamental • Harmonics • Complex Aperiodic • Aperiodic
Waveforms and Spectra • Fourier Analysis of waveforms
Psychoacoustics • Intensity (dB) Loudness (phons) • Frequency (Hz) Pitch (mels) • Time Duration
Resonance • Natural frequency • Resonant frequency • Mechanical • Acoustic
Resonate a Wine Goblet • YouTube 1 • YouTube (Mythbusters)
Resonators as Filters • Bandwidth • Regularly shaped acoustic resonator • Narrowly tuned and lightly damped • Irregularly shaped acoustic resonator • Broadly tuned and heavily damped • Cutoff frequencies • Resonance curves • Center frequency • Types of filters • Low pass • High pass • Band pass • Low/High Pass Filter Example (on computer)
Question Is the human vocal tract: • A regularly shaped tube • An irregularly shaped tube
Question Which instrument would be more finely tuned? • Flute • Tuba • Saxophone • French horn
Question What do we consider the upper and lower cutoff frequency? • 6 dB down from center frequency • 3 dB down from center frequency • 5 dB down from center frequency • 9 dB down from center frequency
Filters • Low pass filters (cut the high frequencies) • High pass filters (cut the low frequencies) • Band pass filters (cut high and low) • YouTube filters
Bandpass Filter • Filter Simulation
High Bandpass earmold tubing Low Bandpass earmold tubing Bandpass Tubing/Hearing Aids
Bandpass/Earhooks • High and Low Pass Filters
Bandpass/Speech Mechanism • Modeling Speech
Question600, 900, 1200 Hz What is the missing fundamental in this example? • 30 Hz • 60 Hz • 100 Hz • 200 Hz • 300 Hz