/ a \"c\" flute creates the note c4 when it is played at its resonance frequency,...

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/ a \"c\" flute creates the note c4 when it is played at itsresonance frequency, that is 261 ... Question: A \"C\" flute createsthe note C4 when it is played at its resonance frequency, that is261 Hz on t... A \"C\" flute creates the note C4 when it is played atits resonance frequency, that is 261 Hz on the evenly temperedscale. Flute frequencies are changed by opening holes in its tube,creating a node at that hole and effectively shortening the 66 cmlong tube. The flute and the guitar make a good instrumentalcombination, and for that they must be tuned together. You haveseen that a guitar's 6 strings are usually tuned to (E) 329.63 HzE4 (B) 246.94 Hz B3 (G) 196.00 Hz G3 (D) 146.83 Hz D3 (A) 110.00 HzA2 (E) 82.41 Hz E2

1. Is there a way to lower the frequency of the flute so that itmatches one of these open strings at resonance? Explain youranswer.

2. Given the length of its tube and the frequency of the flutesound, what is the speed of sound in air it has been made for?

3. At what temperature would the air be in °C to give thisspeed? What is that in °F?

4. At this temperature, what is the most probable speed of anitrogen molecule in m/s?

Answer & Explanation Solved by verified expert
3.8 Ratings (553 Votes)
A flute works similar to a open ended cylinder Consider a flutewithout any of the register holes and only the embouchure holeremains When you blow into it the air inside the flute starts tovibrate A longitudinal compression standing wave is created Inthis wave the air is free to move at the ends hence creatingantinodes Places of maximum displacement and nodes are createdin the middle places of no displacement This leads to a wavethat is antinodenodeantinode meaning it contains exactly halfof    See Answer
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