The Doppler Effect on railroad tracks

In summary, the conversation discusses the Doppler effect and its application in a scenario where two fast trains are approaching each other and emitting warning signals at a frequency that is 50% higher than the emitted frequency. The question asks for the change in frequency observed by one train's machinist. The equations for the Doppler effect are provided, and the solution involves using the appropriate formula to determine the speed of the trains and then using that information to calculate the Doppler effect for the scenario where both observer and source are in motion.
  • #1
mistymoon_38
18
0

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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  • #2
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.
 
  • #3
thanks! i think i got it.
 

FAQ: The Doppler Effect on railroad tracks

What is the Doppler Effect?

The Doppler Effect is a phenomenon in which the frequency of a wave changes when the source of the wave and the observer are in relative motion.

How does the Doppler Effect apply to railroad tracks?

The Doppler Effect can be observed on railroad tracks when a train is moving towards or away from an observer. The sound waves produced by the train's whistle will have a higher frequency when the train is approaching the observer and a lower frequency when it is moving away.

What causes the Doppler Effect on railroad tracks?

The Doppler Effect on railroad tracks is caused by the relative motion between the train and the observer. As the train moves, the sound waves it produces are compressed or stretched, resulting in a change in frequency.

Can the Doppler Effect on railroad tracks be heard by passengers on the train?

Yes, the Doppler Effect can also be observed and heard by passengers on the train. As the train moves, the frequency of the sound waves will also change for those on board.

How is the Doppler Effect on railroad tracks used in science and technology?

The Doppler Effect on railroad tracks is used in various technologies, such as radar and sonar, to determine the speed and direction of moving objects. It is also used in medical imaging techniques, like ultrasound, to measure blood flow and detect abnormalities in the body.

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