Unfingered Guitar String Vibration Frequency: 627 Hz

AI Thread Summary
When a guitar string vibrates unfingered, it produces a frequency of 627 Hz. When fingered one third of the way from the end, only two thirds of the string vibrates, affecting the frequency. The solution involves understanding string harmonics and the relationship between string length and fundamental frequency. An initial calculation suggested a frequency of 940.5 Hz, but further review of course literature is recommended to clarify the correct approach. Understanding these concepts is crucial for accurately determining the new frequency produced by the fingered string.
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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