A "C" flute creates the note C4 when it is played at its resonance frequency,  that is 261 Hz on the evenly tempered scale.   Flute frequencies are changed by opening holes in its tube, creating a node at that hole and effectively shortening the 66 cm tube.  The flute and the guitar make a good instrumental combination, and for that they must be tuned together.  You have seen that a guitar's 6 strings are   usually tuned to   (E) 329.63 Hz E4 (B) 246.94 Hz B3 (G) 196.00 Hz G3 (D) 146.83 Hz D3 (A) 110.00 Hz A2 (E) 82.41 Hz E2   1.  Is there a way to alter the frequency of the flute so that it matches one of these open strings at resonance? Explain your answer. 2.  Given the length of its tube and the frequency of the flute sound, 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 this speed?  What is that in °F? 4.  At this temperature, what is the most probable speed of a nitrogen molecule in m/s?

College Physics
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Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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A "C" flute creates the note C4 when it is played at its resonance frequency,  that is 261 Hz on the evenly tempered scale.   Flute frequencies are changed by opening holes in its tube, creating a node at that hole and effectively shortening the 66 cm tube.  The flute and the guitar make a good instrumental combination, and for that they must be tuned together.  You have seen that a guitar's 6 strings are   usually tuned to

 

  1. (E) 329.63 Hz E4
  2. (B) 246.94 Hz B3
  3. (G) 196.00 Hz G3
  4. (D) 146.83 Hz D3
  5. (A) 110.00 Hz A2
  6. (E) 82.41 Hz E2

 

1.  Is there a way to alter the frequency of the flute so that it matches one of these open strings at resonance? Explain your answer.

2.  Given the length of its tube and the frequency of the flute sound, 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 this speed?  What is that in °F?

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

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