Solving for Unknown Frequency: Tuning Fork Beats

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SUMMARY

The discussion focuses on determining the frequency of an unknown tuning fork struck alongside a known fork vibrating at 256 Hz, resulting in beats with a period of 2 seconds. The calculations confirm that the unknown fork can have two possible frequencies: 255.5 Hz or 256.5 Hz. The relationship between the frequencies and the beat frequency is established using the equation f1 - f2 = beats, where the beat frequency is calculated as 0.5 Hz. The solution is verified as correct by participants in the discussion.

PREREQUISITES
  • Understanding of wave frequency and beats
  • Familiarity with basic physics equations related to frequency
  • Knowledge of the relationship between frequency and period
  • Ability to perform simple algebraic manipulations
NEXT STEPS
  • Study the principles of wave interference and beat frequency
  • Learn about the mathematical derivation of frequency and period relationships
  • Explore practical applications of tuning forks in sound frequency analysis
  • Investigate advanced topics in acoustics and sound wave behavior
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Students in physics, educators teaching wave mechanics, and anyone interested in sound frequency analysis and acoustics.

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Homework Statement



To check the frequency of an unknown tuning fork, it is struck with one that vibrates at 256 Hz. While they vibrate together, beats with a period of 2 seconds are heard. What are the two possible frequencies for the unknown fork?

Homework Equations



f1-f2 = beats

1/T = f

The Attempt at a Solution


f1= 256Hz
Tb = 2 s
f = 1/2s = .5 Hz
f1-f2 = .5 Hz
f2 = 256.5 or 255.5

Is this correct? I think the wording threw me off.
 
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Looks OK.
 
OK. Thanks for helping!
 

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