Particle Acceleration

The Particle acceleration of the air particles a in m/s² of a plain sound wave is:

a = \xi \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_{ac}}{Z \cdot A}
Symbol Units Meaning
a m/s² particle acceleration
v m/s particle velocity
ξ m, meters particle displacement
= 2 · · f 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

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