Particle displacement or particle amplitude (represented in mathematics by the lower-case Greek letter ξ) is a measurement of distance (in metres) of the movement of a particle in a medium as it transmits a wave. In most cases this is a longitudinal wave of pressure (such as sound), but it can also be a transverse wave, such as the vibration of a taut string. In the case of a sound wave travelling through air, the particle displacement is evident in the oscillations of air molecules of air in and against the direction in which the sound wave is travelling with the speed of sound with 343 m/s at 20 °C. // Sound pressure Sound pressure is the pressure deviation from the local ambient pressure caused by a sound wave. ... It has been suggested that this article or section be merged into Sound pressure. ... Particle velocity is the velocity v of a particle (real or imagined) in a medium as it transmits a wave. ... The particle velocity level or the sound velocity level tells the ratio of a sound incidence in comparison to a reference level of 0 dB. It shows the ratio of the particle velocity v1 and the particle velocity v0. ... The sound intensity, I, (acoustic intensity) is defined as the sound power Pac per unit area A. The usual context is the measurement of sound intensity in the air at a listeners location. ... Sound intensity level or acoustic intensity level is a logarithmic measure of the sound intensity in comparison to the reference level of 0 dB (decibels). ... Sound power or acoustic power Pac is a measure of sonic energy E per time t unit. ... Sound power level or acoustic power level is a logarithmic measure of the sound power in comparison to the reference level of 0 dB (decibels). ... The sound energy density or sound density (symbol E or w) is an adequate measure to describe the sound field at a given point as a sound energy value. ... The sound energy flux is the average rate of flow of sound energy for one period through any specified area. ... The acoustic impedance Z (or sound impedance) is the ratio of sound pressure p to particle velocity v in a medium or acoustic component. ... The speed of sound c (from Latin celeritas, velocity) varies depending on the medium through which the sound waves pass. ... Euclid, a famous Greek mathematician known as the father of geometry, is shown here in detail from The School of Athens by Raphael. ... Minuscule, or lower case, is the smaller form (case) of letters (in the Roman alphabet: a, b, c, ...). Originally alphabets were written entirely in majuscule (capital) letters which were spaced between well-defined upper and lower bounds. ... Due to technical limitations, some web browsers may not display some special characters in this article. ... Xi (upper case Ξ, lower case ξ) is the 14th letter of the Greek alphabet. ... Various meters In classical physics and engineering, measurement generally refers to the process of estimating or determining the ratio of a magnitude of a quantitative property or relation to a unit of the same type of quantitative property or relation. ... The distance between two points is the length of a straight line segment between them. ... The metre, or meter, is a measure of length, approximately equal to 3. ... A wave is a disturbance that propagates through space, often transferring energy. ... Longitudinal waves, also referred to as compressional waves or pressure waves, are waves that have vibrations along or parallel to their direction of travel. ... A schematic representation of hearing. ... A light wave is an example of a transverse wave. ... See Oscillator (disambiguation) for particular types of oscillation and oscillators. ... This article is about compression waves. ... Look up air in Wiktionary, the free dictionary. ... Oscillation is the periodic variation, typically in time, of some measure as seen, for example, in a swinging pendulum. ... In chemistry, a molecule is an aggregate of at least two atoms in a definite arrangement held together by special forces. ... The speed of sound c (from Latin celeritas, velocity) varies depending on the medium through which the sound waves pass. ...

Particle displacement ξ in m for a plane wave is:

Particle displacement can be represented in terms of other measurements:

We get for the sound pressure p:

where:

The metre, or meter (symbol: m) is the SI base unit of length. ... Metre per second (U.S. spelling: meter per second) is an SI derived unit of both speed (scalar) and velocity (vector), defined by distance in metres divided by time in seconds. ... Particle velocity is the velocity v of a particle (real or imagined) in a medium as it transmits a wave. ... In mathematics and physics, the radian is a unit of angle measure. ... Look up second in Wiktionary, the free dictionary. ... Angular frequency is a measure of how fast an object is rotating In physics (specifically mechanics and electrical engineering), angular frequency ω (also called angular speed) is a scalar measure of rotation rate. ... The hertz (symbol: Hz) is the SI unit of frequency. ... Sine waves of various frequencies; the lower waves have higher frequencies than those above. ... The pascal (symbol Pa) is the SI unit of pressure. ... // Sound pressure Sound pressure is the pressure deviation from the local ambient pressure caused by a sound wave. ... The newton (symbol: N) is the SI unit of force. ... Look up second in Wiktionary, the free dictionary. ... The metre, or meter (symbol: m) is the SI base unit of length. ... The acoustic impedance Z (or sound impedance) is the ratio of sound pressure p to particle velocity v in a medium or acoustic component. ... The metre, or meter (symbol: m) is the SI base unit of length. ... Look up second in Wiktionary, the free dictionary. ... The speed of sound c (from Latin celeritas, velocity) varies depending on the medium through which the sound waves pass. ... The international prototype, made of platinum-iridium, which is kept at the BIPM under conditions specified by the 1st CGPM in 1889. ... The metre, or meter (symbol: m) is the SI base unit of length. ... The density of air, ρ (Greek: rho) (air density), is the mass per unit volume of Earths atmosphere, and is a useful value in aeronautics. ... The watt (symbol: W) is the SI derived unit of power. ... The sound intensity, I, (acoustic intensity) is defined as the sound power Pac per unit area A. The usual context is the measurement of sound intensity in the air at a listeners location. ... The watt (symbol: W) is the SI derived unit of power. ... Look up second in Wiktionary, the free dictionary. ... The metre, or meter (symbol: m) is the SI base unit of length. ... The sound energy density or sound density (symbol E or w) is an adequate measure to describe the sound field at a given point as a sound energy value. ... The watt (symbol: W) is the SI derived unit of power. ... Sound power or acoustic power Pac is a measure of sonic energy E per time t unit. ... Sound power or acoustic power is a measure of sonic energy E per time t unit. ... The metre, or meter (symbol: m) is the SI base unit of length. ... Area is a physical quantity expressing the size of a part of a surface. ... The metre, or meter (symbol: m) is the SI base unit of length. ... Look up second in Wiktionary, the free dictionary. ... In a compressible sound transmission medium - mainly air - air particles get an accelerated motion: the particle acceleration or sound acceleration with the symbol a in metre/second². In acoustics or physics, acceleration (symbol: a) is defined as the rate of change (or time derivative) of velocity. ...

See also

• Wave

A wave is a disturbance that propagates through space, often transferring energy. ...

External links

• Ohm's law of the acoustics - calculations
• Formulas - Connection of acoustic sizes for even progressive acoustic waves - pdf