A flutist assembles her flute (open-open tube) in a room where the speed of sound is 342 m/s. When she plays the note A (fundamental frequency), it is in perfect tune with a 440 Hz tuning fork. After a few minutes, the air inside her flute has warmed to where the speed of sound is 343 m/s. a. How many beats per second will she hear if she plays the note A as the tuning fork is sounded? b. Determine the length of the vibrating section of the flute when the speed of sound is 342 m/s. c. How far does she need to extend the "tuning joint" of her flute to be in tune with the tuning fork when the speed of sound is 343 m/s?

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter14: Superposition And Standing Waves
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A flutist assembles her flute (open-open tube) in a room where the speed of sound is
342 m/s. When she plays the note A (fundamental frequency), it is in perfect tune
with a 440 Hz tuning fork. After a few minutes, the air inside her flute has warmed to
where the speed of sound is 343 m/s.
a. How many beats per second will she hear if she plays the note A as the tuning
fork is sounded?
b. Determine the length of the vibrating section of the flute when the speed of
sound is 342 m/s.
c. How far does she need to extend the "tuning joint" of her flute to be in tune
with the tuning fork when the speed of sound is 343 m/s?
Transcribed Image Text:A flutist assembles her flute (open-open tube) in a room where the speed of sound is 342 m/s. When she plays the note A (fundamental frequency), it is in perfect tune with a 440 Hz tuning fork. After a few minutes, the air inside her flute has warmed to where the speed of sound is 343 m/s. a. How many beats per second will she hear if she plays the note A as the tuning fork is sounded? b. Determine the length of the vibrating section of the flute when the speed of sound is 342 m/s. c. How far does she need to extend the "tuning joint" of her flute to be in tune with the tuning fork when the speed of sound is 343 m/s?
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