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Chapter 15 Sounds
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15.1- Properties and Detection of Sound
Importance of Sound
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Place your hand on your throat.
Speak to someone next to you for 30 seconds. Sing to someone next to you for 5 seconds. What do you feel?
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Movement forward compresses air particles- increases pressure
Movement backwards separates air particles- decreases pressure
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Sound waves- longitudinal waves with pressure variation that is transmitted through matter (cannot move in a vacuum) Speed of sound depends on temperature 0.6 m/s per 1oC 343 room temperature sea level Speeds increase in liquids and solids
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Echoes- reflected sounds off hard surfaces
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Detection of Pressure Waves
Human ear takes vibrations in the air and transmits them into electrical impulses
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Perceiving Sound Pitch- depends on the frequency of the vibration
Human Ear can hear 20 Hz-16,000 Hz 20 Hz-10,000 Hz (older people) 20 Hz-8,000 Hz (age 70-cannot understand speech)
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Find the wavelength in air at 20oC of an 18 Hz sound wave, which is one of the lowest frequencies that is detectable by the human ear.
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Loudness- perceived by our sense of hearing, depends primarily on the amplitude of the pressure wave
1 billionth of an atmosphere or 2x10-5 Pa to 20 Pa (pain) Sound level-logarithmic scale measured in decibels (dB). 10 dB increase is about 2x as loud
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The Doppler Effect Doppler Effect- frequency shift
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Fd=fs(v-vd/v-vs) v=velocity of the sound wave
vd=velocity of the detector vs=velocity of the sound source fd=frequency received by the detector fs=waves frequency
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Setting up Parameters + from source to detector
- from detector to source The velocity of sound is always positive!
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You are in an auto traveling at 25
You are in an auto traveling at 25.0 m/s toward a pole mounted warning siren. If the siren’s frequency is 365 Hz, what frequency do you hear? Use 343 m/s as the speed of sound.
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A sound source plays middle C (262 Hz)
A sound source plays middle C (262 Hz). How fast would the source have to go to raise the pitch to C sharp (271 Hz)? Use 343 m/s as the speed of sound.
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15.2- The Physics of Music
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Resonance in Air Columns
Closed pipe resonator- a resonating tube with one end closed to air High pressure reflects back on high pressure Open pipe resonator- resonating tube with both ends open Low pressure reflects back on high pressure Increased amplitude from constructive interference causes the sound to get louder
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Open Closed Flutes Saxophones Clarinets Sea Shells
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Resonance on Strings Each end is clamped and therefore has a node on each end. Speed of the wave depends on the tension and mass per unit length. Must attach to a sounding board (which must resonate as many frequencies) to intensify sound
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Sound Quality Tuning fork- uses simple harmonic motion which can be uninteresting Instruments and Voices- use superposition to blend many frequencies which seems more pleasing to hear Timbre, tone color, tone quality
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The sound spectrum: fundamental and harmonic
Fundamental- lowest frequency (f1) Closed pipe- f1=λ/4 Open pipe- f1=v/2L Harmonics- multiples of the lowest frequency Closed pipe- odd multiples Open pipe- even multiples
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Consonance and Dissonance
Dissonance- unpleasant set of pitches Consonance- please set of pitches (pitches with small whole number ratios) Ex: 1:2, 2:3, 3:4
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Musical Intervals Octave- 2 notes with frequencies related 1:2
Ex: 440 Hz: 880 Hz Ex: Fundamental: 1st Harmonic: 2nd Harmonic
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Beats Beat- oscillation of wave amplitude
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Sound Reproduction Stereo system ,000 Hz frequencies are played with less than 3 dB difference so all notes can be heard Telephone Hz Noise- mixture of many frequencies (some say has a calming effect)
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