Particle Velocity - Equations in Terms of Other Measurements

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 = \xi\cdot \omega = \xi(2 \cdot \pi \cdot f) = \frac{p}{Z} = \frac{a}{\omega} = \sqrt{\frac{E}{\rho}} = \sqrt{\frac{P_{ac}}{Z \cdot A}}

It is further related to the instantaneous acoustic intensity vector I (not the time-averaged acoustic intensity) according to


v = \frac{I}{p}
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 area
a m/s² particle acceleration
kg/m³ air density

Read more about this topic:  Particle Velocity

Famous quotes containing the word terms:

    As for the terms good and bad, they indicate no positive quality in things regarded in themselves, but are merely modes of thinking, or notions which we form from the comparison of things with one another. Thus one and the same thing can be at the same time good, bad, and indifferent. For instance music is good for him that is melancholy, bad for him who mourns; for him who is deaf, it is neither good nor bad.
    Baruch (Benedict)