Answered: The A string on a violin has a…

The A string on a violin has a fundamental frequency of 440 Hz . The length of the vibrating portion is 29 cm , and it has a mass of 0.31 g Under what tension must the string be placed?

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

Chapter14: Superposition And Standing Waves

Section: Chapter Questions

Problem 27P

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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 A string on a violin has a fundamental frequency of 440 Hz . The length of the vibrating portion is 29 cm , and it has a mass of 0.31 g

Under what tension must the string be placed?

Express your answer using two significant figures.

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