Calculating Water Depth Using Sound Waves

Thread starter Douna2nd
Start date Sep 8, 2012
Tags

Depth Sound Sound waves Water Waves

AI Thread Summary

To calculate the water depth using sound waves, the submarine sends sound waves that return after 4 seconds, and then after diving 700 m, it sends waves that return in 3 seconds. The speed of sound in water is derived from the formula V = d/t, where the distance is halved for the round trip of the sound waves. The calculations lead to the equation V = X/2, where X represents the total distance traveled by the sound waves. The final result indicates that the depth of the water is 2800 m, confirming the correctness of the solution despite some confusion over the derivation. Understanding the relationship between distance, time, and speed is crucial in solving such problems.

Sep 8, 2012

Douna2nd

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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Sep 8, 2012

voko

I did not understand you derivation, particularly the V = x/2 part, but the result is correct.

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