A flutist assembles her flute in a room where the speed of sound is 34

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SUMMARY

The discussion revolves around a flutist assembling her flute in a room where the speed of sound is initially 340 m/s. When she plays the note A at 440 Hz, the air inside the flute warms up to a speed of sound of 347 m/s. This change affects the frequency of the sound produced, resulting in a beat frequency that can be calculated using the formula f(beat) = |f1 - f2|. The flutist needs to adjust the tuning joint of her flute to ensure it remains in tune with the tuning fork.

PREREQUISITES
  • Understanding of sound wave propagation and speed of sound
  • Knowledge of frequency and beats in acoustics
  • Familiarity with tuning instruments and adjustments
  • Basic mathematical skills for applying formulas
NEXT STEPS
  • Research the effects of temperature on the speed of sound in air
  • Learn how to calculate beat frequencies in acoustics
  • Study the mechanics of flute tuning and adjustments
  • Explore the relationship between frequency and wavelength in sound waves
USEFUL FOR

Musicians, acoustics students, and anyone interested in the physics of sound and instrument tuning will benefit from this discussion.

sphouxay
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Homework Statement



A flutist assembles her flute in a room where the speed of sound is 340 m/s. When she plays the note A, 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 347 .

How many beats per second will she hear if she now plays the note A as the tuning fork is sounded?

How far does she need to extend the "tuning joint" of her flute to be in tune with the tuning fork?

Homework Equations



f(beat) = 2f(mod) = 2 * (omega(mod))/(2pi) = f(1) - f(2)


The Attempt at a Solution



Ill get back with you on this
 
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I don't think it's f(1) - f(2). I think it might be f1 - f2.

In your formulas, make sure you understand what each symbol represents.
 

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