Calculating Water Depth Using Sound Waves

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SUMMARY

The discussion focuses on calculating water depth using sound waves, specifically in a scenario involving a submarine. The submarine sends sound waves that return after 4 seconds, and after diving 700 meters, it sends waves again that return after 3 seconds. The key equation used is V = d/t, leading to the conclusion that the calculated depth of water is 2800 meters, confirming the accuracy of the derivation despite some confusion regarding the initial steps.

PREREQUISITES
  • Understanding of sound wave propagation in water
  • Familiarity with basic physics equations, particularly V = d/t
  • Knowledge of algebraic manipulation for solving equations
  • Concept of time delay in sonar applications
NEXT STEPS
  • Study the principles of sonar technology and its applications in underwater exploration
  • Learn about the speed of sound in different mediums, particularly water
  • Explore advanced topics in wave mechanics and their practical applications
  • Investigate real-world examples of depth measurement using sonar systems
USEFUL FOR

Students in physics or engineering, marine researchers, and professionals involved in underwater navigation and exploration will benefit from this discussion.

Douna2nd
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Homework Statement




a submarines sends sound waves and receives it after 4 seconds then goes under water 700 m and sends waves and receives it after 3 seconds he wants the depth of water

Homework Equations



V=d/t

The Attempt at a Solution



V=d/t V=x/2
then V=X-700/1.5 so x/2 = x-700/1.5 and X = 2800 is this right ?
 
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I did not understand you derivation, particularly the V = x/2 part, but the result is correct.
 

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