Doppler effect at supersonic speeds

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SUMMARY

The discussion centers on the application of the Doppler effect at supersonic speeds, specifically addressing how sound behaves when the source is moving faster than the speed of sound. Participants highlight that the Doppler formulas incorporate the velocity of the sound source, leading to a scenario where the frequency observed can be negative. This negative frequency indicates that the first sound heard is actually the last sound emitted by the source, as the supersonic object travels ahead of its sound waves. The implications of this phenomenon suggest that an observer would not hear the sound until after the source has passed, raising questions about the auditory experience in such extreme conditions.

PREREQUISITES
  • Understanding of the Doppler effect and its mathematical formulas
  • Knowledge of supersonic speeds and their implications on sound propagation
  • Familiarity with wave physics, particularly sound waves
  • Basic calculus for interpreting the mathematical relationships involved
NEXT STEPS
  • Research the mathematical derivation of the Doppler effect for supersonic sources
  • Explore the implications of supersonic flight on sound perception
  • Study the physics of shock waves and their relation to sound waves
  • Investigate real-world applications of the Doppler effect in aerodynamics
USEFUL FOR

Physicists, aerospace engineers, students studying wave mechanics, and anyone interested in the effects of supersonic motion on sound perception.

dpsguy
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How can we apply the doppler effect when the source of sound is coming towards us at supersonic speeds?Is there a mathematical method for it?
 
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The velocity of the source is built into the Doppler formulas. Plug it in, see what happens. I imagine the source would hit you, you would die, then the sound would arrive and you'd be too dead to hear it.
 
The frequency comes out to be negative.How is this possible? o:) Assume that I am alive to think about this.
 
The frequency is negative because the first noise you hear is the last one the source made. The source will always be emitting ahead of the last sound it made.
 

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