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: $${\displaystyle a=\delta \cdot \omega ^{2}=v\cdot \omega ={\frac {p\cdot \omega }{Z}}=\omega {\sqrt {\frac {J}{Z}}}=\omega {\sqrt {\frac {E}{\rho }}}=\omega {\sqrt {\frac {P_{\text{ac}}}{Z\cdot A}}}}$$