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Fundamental frequency of a guitar string

by raw_rock7
Tags: frequency, fundamental, guitar, string
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raw_rock7
#1
Feb24-09, 09:32 PM
P: 1
1. The problem is: A guitar string is 78 cm long and has a mass of 3.6 g. The distance from the bridge to the support post is L = 60 cm, and the string is under a tension of 505 N. What is the frequency of the fundamental?
I don't get why it gives me two distances. Which one is L?




2. The equations I've been using havent been working, so this is pretty much my problem.



3. When I plugged values into the equation f= sqrt(T/(m/L)) * 1/(2L), I got the answer of 241.762 Hz
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Delphi51
#2
Feb24-09, 09:53 PM
HW Helper
P: 3,394
I don't know much about this, but I wonder if there is a little trick in the mass.
It looks like you are only using 60 cm of a 78 cm string with mass 3.6g. So the mass you want to use in the formula would be 60/78*3.6 g.

I get 465 Hz with that small adjustment, which makes me think you made an error in your calculator work - or I did!


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