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A steel wire with mass 27.8 g and length 1.58 m is strung on a bass so that the

ID: 1916045 • Letter: A

Question

A steel wire with mass 27.8 g and length 1.58 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, 42.76 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)=0.0278/1.58 = 0.0176

b) =2l=2*1.1=2.2 m

v=f= 93.44 m/s

c) v=T/

T=153.68 N

d)=2.2 m

e) 343/42.46 = 8.07 m

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