The speed of sound in air is 331 m/s and the density of air is 1.29 kg/m³. A sound wave in air has wavelength 0.761 m and pressure amplitude 1.84 Pa. What is the displacement amplitude Smax of this wave? Answer in units of m.

The speed of sound in air is 331 m/s and the density of air is 1.29 kg/m³. A sound wave in air has wavelength 0.761 m and pressure amplitude 1.84 Pa. What is the displacement amplitude Smax of this wave? Answer in units of m.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter13: Mechanical Waves

Section: Chapter Questions

Problem 37P: A sound wave in air has a pressure amplitude equal to 4.00 103 Pa. Calculate the displacement...

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Concept explainers

Shock Waves

Shock waves are common in continuum mechanics, and their dominance is attributable to the fact that they are stronger (or even less) compressible. Substantial perturbations propagated as sudden dynamic changes of a compressible medium supersonically. Shock waves are all around us in our daily lives. Lightning, earthquakes, volcanic eruptions, and meteorite impact all produce them in nature. Even the earth, which is protected by its magnetic field, generates a shock wave as in solar wind that travels around 20 Earth radiuses. These shock waves might be either constant, linked to the body, or unsteady, i.e., moving around with time. All of the shocks mentioned above can be damaging, so precautions must be taken to reduce their impact.

Question

The speed of sound in air is 331 m/s and the
density of air is 1.29 kg/m³. A sound wave
in air has wavelength 0.761 m and pressure
amplitude 1.84 Pa.
What is the displacement amplitude Smax
of this wave?
Answer in units of m.

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