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

Question

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?
m/s

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

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

(e) What is the wavelength of the sound produced in air? (Assume the speed of sound in air is 343 m/s.)
m

Explanation / Answer

A) .0224/1.6=linear density=.014=µ B) fundamental frequency=v/2L so 33.8=v/2.2=74.4 C)f=(1/2L)[(vF/µ)] so 33.8=(1/2.2)[v(F/.014)] and solve for F D)v=f?...use the velocity from B and the fundamental frequency and solve for lambda E)use the same formula as D and use 343 m/s as v, the fundamental frequency, and solve for lambda again

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