A steel wire with mass 29 g and length 1.23 m is strung on a bass so that the di

Question

A steel wire with mass 29 g and length 1.23 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, 45.29 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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