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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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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