# Chladni's law

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**Chladni's law**, named after Ernst Chladni, relates the frequency of modes of vibration for flat circular surfaces with fixed center as a function of the numbers *m* of diametric (linear) nodes and *n* of radial (circular) nodes. It is stated as the equation

where *C* and *p* are coefficients which depend on the properties of the plate.^{[1]}

For flat circular plates, *p* is roughly 2, but Chladni's law can also be used to describe the vibrations of cymbals, handbells, and church bells in which case *p* can vary from 1.4 to 2.4.^{[2]} In fact, *p* can even vary for a single object, depending on which family of modes is being examined.

## References[edit]

**^**Rossing, Thomas D.; Fletcher, Neville H. (2004),*Principles of Vibration and Sound*, Springer, pp. 73–74, ISBN 9780387405568.**^**Fletcher, Neville Horner; Rossing, Thomas D. (1998),*The Physics of Musical Instruments*, Springer, p. 680, ISBN 9780387983745.

## External links[edit]

- A Study of Vibrating Plates by Derek Kverno and Jim Nolen

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