The Doppler Effect on railroad tracks

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SUMMARY

The discussion focuses on calculating the Doppler Effect experienced by a machinist observing sound from two fast-approaching trains on railroad tracks. The emitted frequency is perceived at a frequency 50% higher than the original, indicating a significant change due to the relative motion of the source and observer. The relevant equations for approaching and receding sources are provided, specifically f+=f0/1-Vs/V and f-=f0/1+Vs/V. The solution involves determining the speed of the trains based on the observed frequency shift and applying the Doppler effect equations for both moving observer and source.

PREREQUISITES
  • Understanding of the Doppler Effect in physics
  • Familiarity with wave frequency and sound propagation
  • Knowledge of basic algebra for solving equations
  • Experience with physics equations related to motion
NEXT STEPS
  • Study the derivation of the Doppler Effect equations for moving sources and observers
  • Explore practical applications of the Doppler Effect in real-world scenarios
  • Learn about sound wave behavior in different mediums
  • Investigate the effects of speed on frequency shifts in various contexts, such as astronomy
USEFUL FOR

Students studying physics, educators teaching wave mechanics, and anyone interested in understanding the principles of sound and motion, particularly in relation to the Doppler Effect.

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Homework Statement



Do not attempt to do this experiment! You are sitting on railroad tracks,
and extremely fast trains are approaching from both the left and the right.
These trains have equal speeds, and both send out a warning signal with their
horns. You hear this signal at a frequency which is 50% higher than the emitted
frequency. Did I say that these trains went fast? How large is the change in
frequency by the signal sent out by one train and observed by the machinist in
the other?

Homework Equations



f+=f0/1-Vs/V (approaching source)
f-=f0/1+Vs/V) (receding source)
f+=(1+V0/V)f0 (observer approaching a source)
f-=1(-V0/V)f0 ( observer receding from a source)

The Attempt at a Solution


I just need a little help getting started, I don't know where to go with this.
 
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In your case, you are observing the sound from a source approaching you. So, use the appropriate formula, and infer what the speed of the trains (the source) must be.

Then you have to use that information to figure out what the Doppler effect amounts to for the case where both observer and source are moving.
 
thanks! i think i got it.
 

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