Beats calculation/Doppler Effect

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SUMMARY

The discussion centers on a physics problem involving the Doppler Effect, where an individual stands equidistant between two bagpipers playing frequencies of 258 Hz and 262 Hz. To avoid hearing beats, the individual must run at a specific speed and direction so that the perceived frequencies from both sources are equal. The speed of sound is given as 340 m/s, and the solution requires applying the Doppler Effect equations to determine the necessary speed and the resulting frequency heard.

PREREQUISITES
  • Understanding of the Doppler Effect and its equations
  • Basic knowledge of sound wave properties
  • Familiarity with frequency and wavelength concepts
  • Ability to solve algebraic equations involving speed and frequency
NEXT STEPS
  • Study the Doppler Effect equations for moving observers and sources
  • Practice problems involving frequency shifts due to motion
  • Explore sound wave properties and their mathematical relationships
  • Investigate real-world applications of the Doppler Effect in acoustics
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Students studying physics, particularly those focusing on wave mechanics and the Doppler Effect, as well as educators seeking to enhance their teaching methods in sound-related topics.

Dilman Sidhu
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Homework Statement


Person stands midway btwn two out of tune bagpipers. f1= 258 Hz and f2= 262 Hz. the speed of sound is 340 m/s. The individual does not want to hear beats, how fast and in which direction should she run so that the frequencies she hears from the two bagpipers are the same? What is this frequency she hears?

Homework Equations


Doppler Effect?

The Attempt at a Solution


I am unsure how to go about solving this equation. I have solved the Doppler Effect in the scenario when either the source or observer or both are moving and need to determine the change in frequency. Put am unsure how to apply that knowledge to this equation.
 
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Dilman Sidhu said:

Homework Statement


Person stands midway btwn two out of tune bagpipers. f1= 258 Hz and f2= 262 Hz. the speed of sound is 340 m/s. The individual does not want to hear beats, how fast and in which direction should she run so that the frequencies she hears from the two bagpipers are the same? What is this frequency she hears?

Homework Equations


Doppler Effect?

The Attempt at a Solution


I am unsure how to go about solving this equation. I have solved the Doppler Effect in the scenario when either the source or observer or both are moving and need to determine the change in frequency. Put am unsure how to apply that knowledge to this equation.
Assume she runs at speed v towards a particular source. What frequencies will she hear?
 

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