Answered: 52. ••Write the wave equation for a…

52. ••Write the wave equation for a periodic transverse wave traveling in the x direction at a speed of 20 m/s if it has a frequency of 10 Hz and an amplitude in the y direction of 0.10 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 6CQ

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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

52. ••Write the wave equation for a periodic transverse
wave traveling in the x direction at a speed of 20 m/s if
it has a frequency of 10 Hz and an amplitude in the y
direction of 0.10 m.

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Step 1 Write the standard wave equation for a transverse wave travelling along +x-axis

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Step 2 Calculate wavelength from velocity and frequency of the wave

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Step 3 Use the given information in the standard wave equation

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