What Frequency Does Sub A Detect for the Reflected Sonar Wave?

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SUMMARY

The discussion centers on the application of the Doppler effect in underwater sonar communication between two submarines, Sub A and Sub B. Sub A emits a 1520 Hz sonar wave, which is detected by Sub B at a frequency of 1549 Hz due to their relative speeds of 12 m/s and 17 m/s, respectively. The participants confirm that the Doppler equation is applicable for calculating the frequency of the reflected wave detected by Sub A after it bounces off Sub B. The correct approach involves using the Doppler equation again, considering the motion of Sub A when receiving the reflected wave.

PREREQUISITES
  • Understanding of the Doppler effect in sound waves
  • Basic knowledge of sonar technology and its applications
  • Familiarity with relative motion and speed calculations
  • Ability to apply mathematical equations to physical scenarios
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  • Study the Doppler effect in various mediums, including air and water
  • Learn how to derive and apply the Doppler equation for moving sources and observers
  • Explore sonar technology and its operational principles in underwater navigation
  • Investigate the effects of speed and distance on sound wave propagation
USEFUL FOR

Physicists, marine engineers, sonar technicians, and anyone involved in underwater acoustics or submarine operations will benefit from this discussion.

sailordragonball
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Two submarines are underwater and approaching each other head-on. Sub A has a speed of 12 m/s and sub B has a speed of 17 m/s. Sub A sends out a 1520 Hz sonar wave that travels at a speed of 1522 m/s.

... I already solved for this question ...

... What is the frequency of the sound detected by sub B (to the nearest Hz)? ...

... I used the Doppler equation and I got 1549 Hz as an answer, which is correct.

... My next question is ...

... Part of the sonar wave is reflected from B and returns to A. What frequency does A detect for this reflected wave (to the nearest Hz)?

... do I use the Doppler equation again ... or is there a reflection equation or concept that I missed out on?
 
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sailordragonball said:
Two submarines are underwater and approaching each other head-on. Sub A has a speed of 12 m/s and sub B has a speed of 17 m/s. Sub A sends out a 1520 Hz sonar wave that travels at a speed of 1522 m/s.

... I already solved for this question ...

... What is the frequency of the sound detected by sub B (to the nearest Hz)? ...

... I used the Doppler equation and I got 1549 Hz as an answer, which is correct.

... My next question is ...

... Part of the sonar wave is reflected from B and returns to A. What frequency does A detect for this reflected wave (to the nearest Hz)?

... do I use the Doppler equation again ... or is there a reflection equation or concept that I missed out on?

Yes, you use it again, but perhaps not exactly the same way. Whatever the frequency of the reflected sound sub A is moving when it receives it.
 

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