Other Simple Oscillators--Helmholtz Resonator

A Helmholtz Resonator: The mass of air in the neck serves as a piston, and the larger volume as the spring.

$\begin{figure}\centerline{\scalebox{0.5}{% \input{helm.pstex_t}}} \end{figure}$

The resonant frequency of the Helmholtz resonator is given by

$\displaystyle f_0 = \frac{c}{2\pi}\sqrt{\frac{a}{VL}},$

where

is the area of the neck,

is the volume,

is the length of the neck and

is the speed of sound.

``MUS 206: Mechanical Vibration'' by Tamara Smyth, Department of Music, University of California, San Diego (UCSD).