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What is Acoustics?
A branch of physics concerned with the study of sound
Production, transmission, reception, and effects of sound waves
What are Transverse Waves?
Particles in the medium move perpendicular to the direction in wave travels
Waves moving along a string
What are Longitudinal Waves?
Waves in which the particles move parallel to the direction in which the wave travels
Oscillation of air particles
What is Sound?
A particle vibration within an elastic medium
What is Vibration?
The back-and-forth motion of an object or particle around an equilibrium point
What is Compression?
Particles closer together than at rest
What is Rarefaction?
Particles farther apart than at rest
What is Inertia?
A fundamental property of all matter. The resistance an object has to change in its state of motion
What is Mass?
A quantitative measure of Inertia. The resistance that a body of matter offers to a change in speed of position upon application of a force
What is Elasticity?
The ability of the object or particle to return to its starting position (or shape) after the forces deforming them have been removed
What is Restoring Force?
(Usually gravity or elasticity): Returns object to resting position (equilibrium point)
Elasticity is the restoring force that returns air particles to resting position
What is Displacement?
How much each particle in a wave moves, usually back and forth (positive and negative displacement) around an equilibrium point
What is Distance?
How far the wave (or sound) travels through space
Speed of Propagation = 344 m/s at standard conditions
What is Amplitude?
The maximum excursion from equilibrium
Can be expressed in displacement, velocity, or pressure
The max amplitude is the change from the zero line to the max positive peak
What is Maximum Displacement?
When particles are farthest from equilibrium
Maximum pressure occurs when
particles are most bunched together (compression)
happens when their displacement is crossing zero
Not when displacement is at its maximum
Creates a quarter-cycle (90degrees) phase lag between displacement & pressure
Displacement lags behind _______ & ________
Particle velocity & pressure
When a wave is Periodic, it ___________
repeats itself over time
When a wave is Aperiodic, it ______________
does not repeat itself over time
What does Phase indicate?
a particular time in the cycle of motion using the angles from a circle as the unit of measure
Starting phase refers to __________
the phase at time = 0
What is Instantaneous phase?
Refers to the phase at any given moment in time
What is Maximum positive amplitude?
ALWAYS corresponds to 90degrees
What is Maximum negative amplitude?
ALWAYS corresponds to 270degrees
Phase relationship - Positive ______, negative _______
leads, lags
What is Period (T)?
the amount of time it takes to complete one repetition of the wave
Seconds/cycles
What is Frequency (f)?
the number of cycles a wave completes in one second
f = cycles/second
_______ & _______ are reciprocals of each other
Frequency & period
What is Wavelength?
distance between two consecutive points that share the same phase in a wave (crest-to-crest)
Determined by propagation velocity (c) & frequency (f)
What are the physical properties of air (slower sound)?
Mass, density, & pressure
What are the physical properties of air (Faster sound)?
Temperature & elasticity
Big Mass =
low frequency
Small mass =
high frequency
High altitude: air is _____
thin
Less mass = faster sound
Could tundra: air is _______
dense
More density = slower sound
Humid beach: _____ density = ______ sound
Less density = faster sound
Warm air: Faster-moving molecules
quicker collisions → faster sound
Cold air: slower-moving molecules
Fewer/slow collisions → slower sound
What is Sound Intensity?
Rate of sound energy flow
If medium is ______, particles move less, leading to _______________
denser, lower intensity
If medium is _______, particles move more, leading to ____________
less dense, higher intensity
When the distance from the source increases, the intensity will ________
decrease
When the distance from the source decreases, the intensity will _________
increase
When a sound encounters an object or new medium (Hit the object)
Absorption, refraction, reflection
When a sound encounters an object or new medium (Avoid the object or curve around)
Diffraction
What is Absorption?
Energy is transmitted
What is Refraction?
Energy changes direction during absorption
What is Reflection?
Energy bounces back
What is Diffraction?
Energy bends around objects & through openings
What is Wave Interference?
When 2+ waves propagate in the same medium
Travel independently, can pass through each other
What is Constructive Interference?
Waves partially or completely in phase
Resulting in wave with larger amplitude than either wave alone
What is Destructive Interference?
Waves partially or completely out of phase
Results in a wave with smaller in amplitude than at least one of the waves
What is a Decibel?
measures how much larger or smaller a sound is compared to something else - a ratio
What is value?
quietest sound an average healthy human can hear
The average threshold of human hearing for each frequency
0 dB HL: Hearing level
dB SL: used for ____________
Speech testing.
How well a person can perceive speech when it is a certain number of their hearing thresholds
What is Impedance (Z)?
Opposition to the flow of energy through a system
Impedance increases, sound intensity (amplitude) decreases
What are the three main components of Impedance?
Resistance (R): friction - comes from the outside the system
Mass Reactance: comes from inside the system
Stiffness Reactance: comes from the inside the system
What is Damping?
Loss of energy due to resistance
What is Mass Reactance?
Opposition to energy flow due to mass (inertia) of the system
Higher mass =
Higher impedance at higher frequencies
Greater vibration at lower frequencies
Large and low
Lower mass =
Higher impedance at lower frequencies
Greater vibration at higher frequencies
Small and high
What is Stiffness Reactance?
Opposition to energy flow due to stiffness of the object/vibrating system
Greater stiffness =
Greater impedance at lower frequencies
Greater vibration at higher frequencies
Stiff and squeaky
Less stiffness =
Greater impedance at higher frequencies
Greater vibration at lower frequencies
Lose and low
Resonance is determined by which two physical properties of an object?
Mass Reactance
Stiffness Reactance
What is Free Vibration?
Vibration where, once started, no additional energy is added
Frequency of vibration is resonance frequency
Reactance equals zero - mass & stiffness cancel each other out
What is Forced Vibration?
Vibration where an external force is continuously or periodically applied
Driving frequency: frequency of external force
What are Nodes?
Points where displacement remains zero
What are Antinodes?
Points of greatest vibration magnitude
What are Acoustic systems?
Masses of medium that vibrate
What are the three basic types of tubes?
Closed at both ends
Open at 1 end, closed at other
Open at both ends
Closed end is
node
Open end is
antinode
What is a Standing Wave?
When sound bounces between 2 parallel surfaces
Generated by the resonant frequency of a system
Rules for matched rules:
Waves on strings that have both ends tied
Waves in tubes that have both ends closed or both ends open
Rules for unmatched ends:
Waves on strings that have one end tied and one lose
Waves in tubes that have one end open and one closed
Displacement nodes =
pressure antinodes
Pressure nodes =
displacement antinodes
Periodic sounds are
Pure tones
Complex tones
Must repeat over time
Quasi-Periodic sound =
speech
Some parts of the signal repeat, others don’t
More than one frequency = complex
Aperiodic sound =
noise
More than one frequency = complex
Impulse sound =
Click or pop
Mostly quasi-periodic or aperiodic
More than one frequency = complex
Sinusoids =
pure tones & just one frequency
Complex tones =
Has a pitch but sounds “richer”
More than one frequency = complex
A wave is ________ if it repeats itself over time
periodic
A wave is _________ if it does not repeat itself over time
aperiodic
A wave is called _________ when there are components that clearly repeat and components that clearly do not
quasi-periodic
A wave is _________ if it can be described by a sinusoidal equation
simple
A wave is _______ if it is made up of many individual sinusoids combined - has more than one frequency component
complex
What is the Fourier Theorem?
A complex wave is the sum of simple waves
What is Waveform synthesis?
Process of combining several individual sinusoidal motions into a complex waveform
What is Fourier analysis?
Taking a complex acoustic signal and splitting it into its component sinusoids (pure tones)
A sinusoidal waveform appears as a _____________ on the spectral display because it represents only one component
single vertical line
A complex periodic vibration with three components has a spectrum with ____________
three vertical lines
When the spectrum has a few, discrete frequency components called a __________
line spectrum
____________ has all the spectral components in a certain frequency range
Continuous spectrum
What is a Spectrogram used for?
Used to show amplitude, time, and frequency all at once
X-axis = time
Y-axis = frequency
Darkness/color = intensity or amplitude
What are Harmonics?
whole numbers that are multiples of fundamental frequency
What are the 2 main reasons that explain all complex periodic sounds have harmonics?
Must be more than one component in order to be complex
The components must be harmonically related to create s sound that repeats over time (that is periodic)