Physics » Sound and the Physics of Hearing » Speed of Sound, Frequency, and Wavelength

# Summarizing Speed of Sound, Frequency, and Wavelength

## Summary

The relationship of the speed of sound $${v}_{w}$$, its frequency $$f$$, and its wavelength $$\lambda$$ is given by

$${v}_{\text{w}}=\mathrm{f\lambda },$$

which is the same relationship given for all waves.

In air, the speed of sound is related to air temperature $$T$$ by

$${v}_{\text{w}}=(\text{331}\phantom{\rule{0.25em}{0ex}}\text{m/s})\sqrt{\cfrac{T}{\text{273}\phantom{\rule{0.25em}{0ex}}\text{K}}}.$$

$${v}_{\text{w}}$$ is the same for all frequencies and wavelengths.

## Glossary

### pitch

the perception of the frequency of a sound

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