You blow into a flute and make a perfect “middle C” note at 261.626Hz. The speed of sound at that temperature is 342m/s. Later, the room has warmed up so the speed of sound is now 346m/s. a. What is the frequency of the “middle C” at this hotter temperature? b. What is the beat frequency if the two notes were somehow played at the same time? c. The flute can be lengthened or shortened to change its “tune”. How far should the flute be lengthened or shortened (which?) in order for the flute to be in tune at the hotter temperature?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter17: Sound
Section: Chapter Questions
Problem 83P: A 4.0-m-long pipe, open at one end and closed at one end, is in a room where the temperature is...
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You blow into a flute and make a perfect “middle C” note at 261.626Hz. The speed of sound at that temperature is 342m/s. Later, the room has warmed up so the speed of sound is now 346m/s.

a. What is the frequency of the “middle C” at this hotter temperature?

b. What is the beat frequency if the two notes were somehow played at the same time?

c. The flute can be lengthened or shortened to change its “tune”. How far should the flute be lengthened or shortened (which?) in order for the flute to be in tune at the hotter temperature?

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