Unfingered Guitar String Vibration Frequency: 627 Hz

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Homework Help Overview

The discussion revolves around the frequency of a guitar string when it is fingered at a specific point, reducing the vibrating length of the string. The subject area pertains to wave mechanics and harmonics in string instruments.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between the length of the string and its fundamental frequency, with some questioning the relevant equations and concepts involved in string harmonics.

Discussion Status

There is an ongoing exploration of different approaches to the problem, with some participants suggesting a review of course literature to clarify the relationship between string length and frequency. A specific calculation related to string harmonics has been presented, but it has not been universally accepted or confirmed by others.

Contextual Notes

Participants have noted uncertainty regarding the equations applicable to the problem and the implications of finger placement on the string's vibrating length.

Kevin Kim
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Homework Statement


When unfingered, a string on a guitar vibrates at 627 Hz.

What frequency will the string produce when fingered one third of the way from the end, that is only two thirds of the string can vibrate?

Homework Equations

The Attempt at a Solution


I am not too sure what equations to use for this.[/B]
 
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Show a list, we will ask which one :smile:
 
I have solved the answer by relating to the string harmonics. (627Hz*0.5)+627Hz= 940.5Hz
 
Kevin Kim said:
I am not too sure what equations to use for this.
Then you might want to take another look in your course literature on the subject and think about how the length of the string relates to the fundamental frequency.
 

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