Acoustics Flashcards
Acoustics
- branch of physics which studies mechanical waves, including vibrations, sound infrasound and ultrasound
- Acoustics observes generation, propagation of mechanical waves, their interaction with environment and the process of hearing.
What is a mechanical wave?
- spreading disturbance (forced displacement of particles) in elastic medium
- MW transfers energy but not mass.
- The MW may take a form of an elastic deformation in solids or a variation of pressure in gases
What is a sound?
- Sound is called any MW/mechanical vibrations producing hearing perception
- transmitted only through elastic media
- sound transfers energy but not mass
What is the acoustic range?
freq. from 20 Hz to 20kHz
Where can sound propagation occur
in elastic media only
- vibrations in elastic matter are transmitted consecutively from particle to particle causing recurrent alteration of density
P(t) = ΔP sin φ
ΔP = maximal pressure increase/decrease
φ - phase of the given mechanical wave showing the rate of alterations
How do mechanical waves propagate?
Longitudinal and Transversal
Longitudinal
typical to gasses and liquids
Transverse waves
typical for solids where particles displacement occurs perpendicularly to wave propagation
Physical characteristics of sound: Sound Intensity, I
I = E/t.S
- the sound energy transmitted per sec. through unit area, placed perpendicularly to the sound propagation
- Intensity is measured in watt per square meter. [W/m2]
Physical characteristics of sound: Sound pressure, P
P = ΔP sin φ added to Patm
- the relation between intensity and pressure:
I = p2/2Za
Physical characteristics of sound: Sound frequency, f
- Frequency is the number of vibrations (full alterations of the sound pressure or repetitions of motion of the particles) per sec
- It is measured in Hz
- 1 Hz equals to 1 vibration per sec
- A quantity which is directly related with f is the period: the time duration of 1 vibration
Physical characteristics of sound: sound velocity
- quantity which depends on the properties of the medium through which sound propagates
- For example – At 20ºC SV in the air is about 340 m/s, but in water SV is about 1500 m/s
- The exact relationship between sound speed and matter properties threats elasticity as major factor.
Physical characteristics of sound: sound wavelength
The distance between two consecutive sound fronts\
λ = v.T=v/f
Physical characteristics of sound: Acoustic impedance
Z = ρ.v
ρ -density of the given medium
v – sound velocity
- Sound propagation through certain medium is determined from acoustic impedance Z of the latter
- When the sound wave encounters a border between two different media – a part of the wave reflects, and the other part passes due to differences in acoustic impedances Z1 and Z2
- The degree of reflection/transmission depends on difference sbetween Z1 and Z2
Simple tone and complex tone sounds
Simple - if vibration has sine shape and possesses certain frequency
Complex - when it consist of several simple tones as superposition of mechanical waves.
Acoustic Spectrum
- Combination of certain amplitudes and frequencies proportional to participant simple waves frequencies
- Each complex sound can be illustrated by graph representing its acoustic spectrum
- f0 - basic freq. - always has maximal amplitude
2f0, 3f0 etc. - amplitudes smaller
Psychophysical characteristics of sound
- Each physical (objective) characteristic of sound corresponds to respective psychophysical (subjective) analogue
- Human perception of sound is based on fundamental physiological Weber - Fechner law:
Perception ~ log(stimulus)
(Perceptions increases logarithmically with the stimulus)
Psychophysical characteristics of sound: Sound intensity
- Sound Intensity level E (E is defined at 1000 Hz sound frequency only)
E=k. lg( I/I0 ),
I = intensity of sound
I0 = threshold (at 1000Hz, 10-12 W/m2 - lowest in power vibration audible for human ears)
Intensity level is measured in bel B/ decibel dB (at k=1 and k=10 respectively)