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.
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.
College Physics
11th Edition
ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3aa3d8f8-d9ca-4982-9f81-e0a67e10178e%2F495b12b3-4d43-4d85-bb57-6d9dd2314bda%2Fv3z3f7a_processed.jpeg&w=3840&q=75)
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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