How Does the Doppler Effect Change the Sound Frequency of a Passing Airplane?

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SUMMARY

The discussion centers on the application of the Doppler Effect to sound frequency changes as an airplane approaches and passes a stationary listener. An airplane traveling at 154 m/s emits a sound frequency of 5.20 kHz, while the speed of sound is given as 344 m/s. The frequency heard by the listener increases as the airplane approaches, calculated using the formula \( f' = f \frac{v}{v - v_{source}} \), and decreases after passing, using \( f' = f \frac{v}{v + v_{source}} \). The correct application of these formulas is crucial for solving related physics problems.

PREREQUISITES
  • Understanding of the Doppler Effect in sound waves
  • Familiarity with basic physics equations and terminology
  • Knowledge of sound frequency and wave speed concepts
  • Ability to perform calculations involving ratios and fractions
NEXT STEPS
  • Study the derivation of the Doppler Effect equations for sound
  • Practice problems involving moving sources and stationary observers
  • Explore applications of the Doppler Effect in real-world scenarios, such as radar and astronomy
  • Learn about the effects of medium changes on sound speed and frequency
USEFUL FOR

Students studying physics, particularly those focusing on wave mechanics and sound, as well as educators looking for examples of the Doppler Effect in practical applications.

PhysicsHatesMe01
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I've got another one.

An airplane traveling at v = 154 m/s emits a sound of frequency 5.20 kHz. At what frequency does a stationary listener hear the sound during each of the following times? (Use 344 m/s as the speed of sound.)

1) as the plan approaches (kHz)
2) after it passes (kHz)

What equation do I use to solve this?

Basically, I'm at a loss for almost all of my homework problems. My prof goes through the chapters during lecture, but he doesn't do very many examples which is why this class is causing me problems.

-- NVM. I figured it out :)
 
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PhysicsHatesMe01 said:
I've got another one.

-- NVM. I figured it out :)
Good job. See! Physics loves you! :biggrin:
 
PhysicsHatesMe01 said:
I've got another one.

An airplane traveling at v = 154 m/s emits a sound of frequency 5.20 kHz. At what frequency does a stationary listener hear the sound during each of the following times? (Use 344 m/s as the speed of sound.)

1) as the plan approaches (kHz)
2) after it passes (kHz)

For approaching, the formula for the Doppler-effect is different than for passing, since for approaching the frequencty the listener hears is getting higher --> mulitply with [tex]\frac {v} {v-v_{source}}[/tex] and when passing the frequence gets lower --> multiply with [tex]\frac {v} {v + v_{source}}[/tex]
 

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