A steel wire with mass 29 g and length 1.14 m is strung on a bass so that the di

Question

A steel wire with mass 29 g and length 1.14 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.


kg/m

(b) What velocity wave on the string will produce the desired fundamental frequency of the E1 string, 43.51 Hz?



Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m/s

(c) Calculate the tension required to obtain the proper frequency.



Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. N

(d) Calculate the wavelength of the string's vibration.

m

Explanation / Answer

a) = 0.029 / 1.14 = 0.025

b) velocity = f = 43.51*2.20 = 95.722 m/s

c) T =velocity^2 * =  229 N

d) wavelength = 2.20 m

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