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Particle velocity
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Everything about Particle Velocity totally explained

Particle velocity is the velocity v of a particle (real or imagined) in a medium as it transmits a wave. In many cases this is a longitudinal wave of pressure as with sound, but it can also be a transverse wave as with the vibration of a taut string.
When applied to a sound wave through a medium of air, particle velocity would be the physical speed of an air molecule as it moves back and forth in the direction the sound wave is travelling as it passes.
   Particle velocity shouldn't be confused with the speed of the wave as it passes through the medium, for example in the case of a sound wave, particle velocity isn't the same as the speed of sound.
   In applications involving sound, Particle velocity is usually measured using a logarithmic decibel scale called particle velocity level.

Equations in terms of other measurements

The velocity v can be related to the particle displacement xi and acceleration for single frequency plane wave of frequency f using »

v = xicdot omega = xi(2 cdot pi cdot f) = frac
Symbol Units Meaning
v m/s particle velocity
ξ 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
E W·s/m³ sound energy density
Pac W, watts sound power or acoustic power
A m² area
a m/s² particle acceleration

Further Information

Get more info on 'Particle Velocity'.


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