**Problem Statement: Violin String Frequency**A violin string vibrates at 659.3 Hz when its full length is allowed to vibrate. If it is now held so that three-fifths of it is allowed to vibrate in the same harmonic, what frequency will it produce?**Answer:**The frequency will be __________ Hz. **Explanation:**When the length of the string that is vibrating is reduced, the frequency increases proportionally. If the length is reduced to three-fifths, the frequency is inversely proportional to the length so it will be: \[ \text{New Frequency} = \frac{\text{Original Frequency}}{\text{Fraction of Original Length}} = \frac{659.3 \, \text{Hz}}{3/5} \]In this context, you can calculate it as follows:\[ \text{New Frequency} = 659.3 \times \frac{5}{3} \]Fill in this calculation to get the precise new frequency.

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A violin string vibrates at 659.3 Hz when its full length is allowed to vibrate. If it is now held so that three-fifths of it is allowed to vibrate in the same harmonic, what frequency will it produce? Hz

A violin string vibrates at 659.3 Hz when its full length is allowed to vibrate. If it is now held so that three-fifths of it is allowed to vibrate in the same harmonic, what frequency will it produce? Hz

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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

**Problem Statement: Violin String Frequency**

A violin string vibrates at 659.3 Hz when its full length is allowed to vibrate. If it is now held so that three-fifths of it is allowed to vibrate in the same harmonic, what frequency will it produce?

**Answer:**

The frequency will be __________ Hz.

**Explanation:**

When the length of the string that is vibrating is reduced, the frequency increases proportionally. If the length is reduced to three-fifths, the frequency is inversely proportional to the length so it will be:

\[ \text{New Frequency} = \frac{\text{Original Frequency}}{\text{Fraction of Original Length}} = \frac{659.3 \, \text{Hz}}{3/5} \]

In this context, you can calculate it as follows:
\[ \text{New Frequency} = 659.3 \times \frac{5}{3} \]

Fill in this calculation to get the precise new frequency.

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