Question 8 One string of a certain musical instrument is 78.0 cm long and has a mass of 8.70 g. It is being played in a room where the speed of sound is 344 m/s. Part A To what tension must you adjust the string so that, when vibrating in its third overtone (ie. the fourth harmonic), it produces sound of wavelength 0.752 m ? (Assume that the breaking stress of the wire is very large and isn't exceeded.) Express your answer in newtons. Part B What frequency sound does this string produce in its fundamental mode of vibration? Express your answer in hertzes.

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Question 8
One string of a certain musical instrument is 78.0 cm long and has a
mass of 8.70 g. It is being played in a room where the speed of
sound is 344 m/s.
Part A
To what tension must you adjust the string so that, when vibrating in its third overtone (ie. the fourth harmonic), it produces sound of wavelength 0.752 m ?
(Assume that the breaking stress of the wire is very large and isn't exceeded.)
Express your answer in newtons.
Part B
What frequency sound does this string produce in its fundamental mode of vibration?
Express your answer in hertzes.
Part C
Imagine that the string is pulled in such a way that the fundamental mode and the third overtone are excited with the same amplitude, A=0.5 mm.
What is the displacement of the center point of the string at t=4 sec ? Assume that at t=0, the center point is at its maximum displacement.
Express your answer in mm.
Transcribed Image Text:Question 8 One string of a certain musical instrument is 78.0 cm long and has a mass of 8.70 g. It is being played in a room where the speed of sound is 344 m/s. Part A To what tension must you adjust the string so that, when vibrating in its third overtone (ie. the fourth harmonic), it produces sound of wavelength 0.752 m ? (Assume that the breaking stress of the wire is very large and isn't exceeded.) Express your answer in newtons. Part B What frequency sound does this string produce in its fundamental mode of vibration? Express your answer in hertzes. Part C Imagine that the string is pulled in such a way that the fundamental mode and the third overtone are excited with the same amplitude, A=0.5 mm. What is the displacement of the center point of the string at t=4 sec ? Assume that at t=0, the center point is at its maximum displacement. Express your answer in mm.
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