Particle acceleration

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This page is about small-scale particle acceleration in acoustics. For acceleration of charged particles to very high energies, see particle accelerator.

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In acoustics, particle acceleration is the acceleration (rate of change in speed and direction) of particles[clarification needed] in a sound transmission medium. When sound passes through a medium it causes particle displacement[1] and as such causes changes in their acceleration.

The acceleration of the air particles of a plane sound wave is given by: a=δ⋅ω2=v⋅ω=p⋅ωZ=ωJZ=ωEρ=ωPacZ⋅A

Symbol | Units | Meaning

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a | m/s2 | particle acceleration
v | m/s | particle velocity
δ | m, meters | particle displacement
ω = 2πf | radians/s | angular frequency
f | Hz, hertz | frequency
p | Pa, pascals | sound pressure
Z | N·s/m3 | acoustic impedance
J | W/m2 | sound intensity
E | W·s/m3 | sound energy density
Pac | W, watts | sound power or acoustic power
A | m2 | area

## See also

* Sound
* Sound particle
* Particle displacement
* Particle velocity

## References

1. ↑ Arthur Schuster (1904). An Introduction to the Theory of Optics. London: Edward Arnold. https://archive.org/details/bub_gb_Zb4KAAAAIAAJ. "An Introduction to the Theory of Optics By Arthur Schuster."

## External links

* Relationships of acoustic quantities associated with a plane progressive acoustic sound wave - pdf

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