Particle acceleration
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This article 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[dubious – discuss ] particles of a plane sound wave is given by: {\displaystyle a=\delta \cdot \omega ^{2}=v\cdot \omega ={\frac {p\cdot \omega }{Z}}=\omega {\sqrt {\frac {J}{Z}}}=\omega {\sqrt {\frac {E}{\rho }}}=\omega {\sqrt {\frac {P_{\text{ac}}}{Z\cdot A}}}}
| Symbol | Units | Meaning |
|---|---|---|
| a | m/s 2 | 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
[edit ]References
[edit ]- ^ Arthur Schuster (1904). An Introduction to the Theory of Optics. London: Edward Arnold.
An Introduction to the Theory of Optics By Arthur Schuster.
{{cite book}}: CS1 maint: publisher location (link)