Thin-wire wave speed

A material property: the speed at which a pressure wave travels along a thin wire. The thin-wire wave speed is related to other material properties by —

\begin{align} \label{eq:12401a} c_{tw} &= \left[ \frac{E}{\rho} \right]^{1/2} \, \end{align}

where —

\( c_{tw} \)	= thin-wire wave speed
\( E \)	= modulus of elasticity (Young's modulus)
\( \rho \)	= density

Most acoustic materials have a thin-wire wave speed between 4700 and 5300 m/sec. The thin-wire wave speed decreases with increasing temperature.

The thin-wire wave speed is related to the thin-wire half-wavelength by —

\begin{align} \label{eq:12402a} c_{tw} = 2 \, \Gamma_{tw} \, f \end{align}

where —

\( f \)	= resonant frequency
\( \Gamma_{tw} \)	= thin-wire half-wavelength at the specified frequency

The thin-wire wave speed, along with the resonator dimensions and shape, determines the resonant frequency.

Reference: Meyer (1), equation 1.61, p. 19

Also see —
Dilatational wave speed
Inverse Mori equation
Mori equation
Rayleigh equation
Shear wave speed
Thin-plate wave speed