Particle acceleration

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

The acceleration of the air particles of a plane sound wave is given by: $$ a = \delta \cdot \omega^2 = v \cdot \omega = \frac{p \cdot \omega}{Z} = \omega \sqrt \frac{J}{Z} = \omega \sqrt \frac{E}{\rho} = \omega \sqrt \frac{P_\text{ac}}{Z \cdot A} $$