the fundamental frequency of the A-string of a cello is 220 HZ. the vibrating portion of the string is 68cm long and has a mass of 1.29 grams. with what tension should it be stretched ?
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since frequency f = (1/2l) square root of ( T l / M )
tension T = 4 l^2 f^2 M / l = 4 f^2 M l = 4 x 220 x 220 x 1.29 x10^-3 x 0.68 = 8.772 N.
tension T = 4 l^2 f^2 M / l = 4 f^2 M l = 4 x 220 x 220 x 1.29 x10^-3 x 0.68 = 8.772 N.
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The wavelength is 2 L = 2 x 0.68 m = ?
Find velocity from v = f x lambda
v = sqrt (T/mu) so T^2 = v x (1.29 x 10^-3 / 0.68 ) work it out and solve for T
Find velocity from v = f x lambda
v = sqrt (T/mu) so T^2 = v x (1.29 x 10^-3 / 0.68 ) work it out and solve for T