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:

    The research on gender and morality shows that women and men looked at the world through very different moral frameworks. Men tend to think in terms of “justice” or absolute “right and wrong,” while women define morality through the filter of how relationships will be affected. Given these basic differences, why would men and women suddenly agree about disciplining children?
    Ron Taffel (20th century)