A steel wire with mass 22.7 g and length 1.53 m is strung on a bass so that the

Question

A steel wire with mass 22.7 g and length 1.53 m is strung on a bass so that the distance from the nut to the bridge is 1.10 m. (a) Compute the linear density of the string. (b) What velocity wave on the string will produce the desired fundamental frequency of the E1 string, 36.2 Hz? (c) Calculate the tension required to obtain the proper frequency. (d) Calculate the wavelength of the string's vibration. (e) What is the wavelength of the sound produced in air? (Assume the speed of sound in air is 343 m/s.)

Explanation / Answer

a) 0.0227 /1.53 = 0.0148 kg/m

b) V = f = 36.2 . 2.2 = 79.64 m/s

c) V = T/m

T = V^2 . m = 143.98 N

d) You don't calculate it - the fundamental is twice the length of the string = 2.2 m

e) = V/f = 343 / 36.2 = 9.48 m

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