one problem about beat

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Joined: Tue Oct 25, 2005 11:29 am

one problem about beat

Postby kolndom » Wed Nov 09, 2005 11:20 am

Originally the frequency of the wave in two strings are the same, if the tension of one string is changed by 1%, what is the freuency of beats?

thank u in ad:)

Posts: 87
Joined: Mon Oct 31, 2005 5:50 am

Postby yosofun » Wed Nov 09, 2005 6:17 pm

v = \sqrt{F/\rho} where \rho is the density of the string and F is the force

v = \lambda f where f is the frequency of the string and \lambda is the wavelength

so, if the tension of the string is changed by 1% F = 1.01 F_0 where F_0 is the original force/tension.... plug that into the equations above, solve for f.

f-f_0 gives the frequency of the beats (f_0 is the original frequency)

for more on beats, check out ... =Search%21
the link explains how they're derived.

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