Marching Band doppler effect with Beat Frequency.

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SUMMARY

The discussion centers on the Doppler effect and beat frequency as experienced by Emma and Don in a marching band scenario. When Emma marches towards Don, her emitted frequency is perceived at a higher pitch due to the Doppler effect. Upon stopping, a beat frequency of 5 Hz is observed, indicating a frequency shift. The relationship between Emma's speed and the frequency she emits is expressed mathematically as fobs = f0[(v)/(v-vEmma)], where v is the speed of sound at 330 m/s.

PREREQUISITES
  • Understanding of the Doppler effect in sound waves
  • Knowledge of beat frequency calculations
  • Familiarity with wave equations, specifically v = fλ
  • Basic algebra for solving equations
NEXT STEPS
  • Study the mathematical derivation of the Doppler effect formula
  • Explore beat frequency applications in acoustics
  • Learn about sound wave properties and their relationship to frequency and wavelength
  • Investigate practical examples of the Doppler effect in real-world scenarios
USEFUL FOR

Students in physics, music educators, and anyone interested in the practical applications of sound wave phenomena and frequency analysis.

Ethan_Tab
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Homework Statement


Emma and Don are playing in a band. While emma is marching toward Don, Don tunes his instrument to match the note that emma is playing. When emma stops, don immediately notices a beat frequency of 5 Hz. If the speed of the sound is 330m/s what is the relationship between Emmas speed and the frequency she is emmiting?

Homework Equations


fobs=f0[(v)/(v+-vsource)]
Bear Frequency= |f2-f1|
v=ƒλ

The Attempt at a Solution


at the speed which emma is moving, her note due to the doppler effect is shifted to a higher pitch which is what don tunes his instrument too. when she stops, the frequency of emmas note drops by 5Hz, to the actual note which was truly being played. Thats all i understand... what's the best way to get started?
 
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Just to add to what I just said, we can represent that first part through

fobs=f0+5
therfore
f0+5=f0[(v)/(v-vEmma)]
 
Ethan_Tab said:
what is the relationship between Emmas speed and the frequency she is emmiting?
Ethan_Tab said:
f0+5=f0[(v)/(v-vEmma)]

Isn't that a relationship between Emma's speed and the frequency she's playing? So what's the problem?
 

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