A sailor strikes the side of his ship just below the surface of the sea. He hears the echo of the wave reflected from the ocean floor directly below 2.4 s later. How deep is the ocean at this point?
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This is Giancoli Answers with Mr. Dychko. The speed of a longitudinal wave in the liquid is the square root of the bulk modulus of the liquid divided by its density. And we have for this sound wave going from the ship to the sea floor and back, it's going to travel a total of 2 times the depth of the water and that's going to equal its speed times the time. So, we'll solve this for d divide both sides by 2 and then also substitute for v square root p modulus divided by density. And that gives 2.4 seconds over 2 times square root of 2 times 10 to the 9 newtons per square meter divided by 1 times 10 to the 3 kilograms per cubic meter which gives about 1700 meters must be the depth of the water.
How did you find the values for B and P?
Be mindful that saltwater has a different density than freshwater. Saltwater's is 1.025 x 10^3.
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