The Doppler Effect

Sound waves from a stationary source spread uniformly in all directions at constant frequency.

Ξ»front = c / ffront = 343 / 1000 = 0.343 m  Β·  Ξ»back = c / fback = 343 / 1000 = 0.343 m

The Doppler Effect

The Doppler effect is the change in perceived frequency of a wave due to relative motion between the source and the observer. You hear it whenever a siren, horn, or engine passes by β€” the pitch is higher as it approaches and lower as it recedes.

What causes the pitch change?

Sound travels at a fixed speed (c β‰ˆ 343 m/s in air). When the source moves toward you, each successive wavefront is emitted from a closer position, so the wavefronts pile up in front β€” shorter wavelength, higher frequency. When the source moves away, the wavefronts spread out β€” longer wavelength, lower frequency.

Formulas

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Sources:
Serway, Raymond A., and John W. Jewett. "Physics for Scientists and Engineers with Modern Physics." Cengage Learning, 9th edition, 2014. Chapter 17, 'Sound Waves'.
Clark, J. M. C. "Acoustic characteristics of emergency vehicle sirens." Journal of the Acoustical Society of America, vol. 105, no. 2, 1999, p. 1198.
Institute of Transportation Engineers (ITE). "Traffic Engineering Handbook." 7th edition, 2009.