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Wed 21 Nov, 2007 09:57 pm
A particular guitar string is supposed to vibrate at 200 Hz, but it is measured to vibrate at 205 Hz. By what percent should the tension in the string be changed to correct the frequency?
Ok first of all they have different frequency, wavelength and velocity, I got 2.44%, is this correct?
Yup, it's simple math = 2.439%
5/205 - 2.439%
What you wrote is unclear to me. What is 'they' that you refer to? 'The strings? Cause Frequency is synonymous with wavelength. Velocity is dependent on what the pitch of the note is that's struck, the thickness of the string etc.
well, I try to get their velocity by assuming they have the same wavelength, then I try plucking it into v=sqrt(Ftension/(m/L)), couldn't seem to work it out.
you never asked about the velocity
i know, but i was just wondering if I can some what relate velocity to this question... sorry if my wording is too confusing
Try this physics hyperlink
Vibrating String Frequencies
If you pluck your guitar string, you don't have to tell it what pitch to produce - it knows! That is, its pitch is its resonant frequency, which is determined by the length, mass, and tension of the string. The pitch varies in different ways with these different parameters, as illustrated by the examples in the following hyperlink:
http://hyperphysics.phy-astr.gsu.edu/hbase/waves/string.html#c4