Solving the Mystery Problem: Finding the Submarine Depth & Velocity

Click For Summary
SUMMARY

The discussion centers on a sonar problem involving a boat estimating the velocity of sound underwater at 1500 m/s to locate a submarine. The key error identified is that the sonar instrument may not have been positioned vertically, which affects the accuracy of the depth measurement. To solve the problem, one must calculate the actual depth of the submarine and determine the correct velocity of sound based on the angle of the sonar beam. This requires understanding the principles of sonar technology and sound propagation in water.

PREREQUISITES
  • Understanding of sonar technology and its applications
  • Knowledge of sound propagation in water
  • Familiarity with trigonometric principles
  • Basic problem-solving skills in physics
NEXT STEPS
  • Research the principles of sonar and how it measures depth
  • Study the effects of sound velocity variations in different water conditions
  • Learn about trigonometric calculations related to angles and distances
  • Explore real-world applications of sonar in marine navigation
USEFUL FOR

Students preparing for physics exams, educators teaching sonar technology, and anyone interested in underwater acoustics and marine navigation techniques.

motherlovebone
Messages
11
Reaction score
0
Okay, I need some help yet again. Our teacher is giving us no hints on the "mystery problem" on our test tomorrow.

"A boat sends a sonar down to find a submarine underwater. The boat estimates the velocity of sound under the water to be 1500 m/s. Howeer, they are wrong about that velocity. Find their mistake, explain it, and then find how deep the submarine is in the water and find the real velocity of sound under the water."
 
Physics news on Phys.org
The given information proves to be insufficient. The problem must be that the sonar instrument need not have been kept vertical.
 

Similar threads

Submarine sonar doppler problem
  • · Replies 1 ·
Replies
1
Views
5K
Kinematics Question Involving Submarine
  • · Replies 2 ·
Replies
2
Views
5K
Doppler effect of submarines question. Please help
  • · Replies 7 ·
Replies
7
Views
7K
Submarine Distance - Hard Doppler effect
  • · Replies 21 ·
Replies
21
Views
6K
How Does the Doppler Effect Calculate Submarine Depth and Velocity?
  • · Replies 2 ·
Replies
2
Views
4K
Calculating Velocity and Direction Using the Doppler Effect
  • · Replies 1 ·
Replies
1
Views
2K
Adding Vectors to Find Velocity
  • · Replies 16 ·
Replies
16
Views
4K
Doppler Effect Submarine Problem
  • · Replies 30 ·
2
Replies
30
Views
15K
How Do You Calculate the Depth of an Object Using Sonar Echoes?
  • · Replies 2 ·
Replies
2
Views
5K
Calculating Frequency Shift in the Doppler Effect for Submarine Sonar Waves
  • · Replies 2 ·
Replies
2
Views
4K