What Are the Possible Frequencies of the Second Xylophone Bar?

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SUMMARY

The discussion centers on determining the possible frequencies of a second xylophone bar when a first bar vibrates at 343 Hz and produces beats at a rate of 5 beats per second. The correct frequencies for the second bar are derived from the relationship between the beat frequency and the difference in frequencies of the two bars. The possible frequencies of the second bar are 348 Hz and 338 Hz, as they yield a beat frequency of 5 Hz when compared to the first bar.

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  • Understanding of wave frequency and beat frequency concepts
  • Basic knowledge of sound wave properties
  • Familiarity with the mathematical relationship between frequencies
  • Ability to solve simple algebraic equations
NEXT STEPS
  • Study the concept of beat frequency in sound waves
  • Learn how to calculate frequency differences
  • Explore the physics of vibrating bars and their harmonic frequencies
  • Investigate sound wave interference patterns
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Students studying physics, music educators, sound engineers, and anyone interested in the principles of sound wave interactions.

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Homework Statement


A xylophone has a set of vibrating bars. A bar with a frequency of 343 Hz is struck. A very short time later, a second bar is also sounded, and one hears the volume of the xylophone increase and decrease 5 times each second (called beats). What are the possible frequencies of the second bar (in Hz)? Determine if the following frequencies is correct or incorrect.
A. 353
B. 338
C. 333
D. 348
E. 349


Homework Equations





The Attempt at a Solution


How do I figure this out?
A.
B.
C.
D.
E.
 
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Nevermind I got it..a lot easier then I was making it hehe.
 

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