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:
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/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
References
- ^ Arthur Schuster (1904). An Introduction to the Theory of Optics. London: Edward Arnold.
An Introduction to the Theory of Optics By Arthur Schuster.