(II) A sailor strikes the side of his ship just below the...

Name: Problem 8, Chapter 15: Physics for Scientists and Engineers with Modern Physics
Uploaded: 2019-06-25T00:21:01-08:00
Duration: 3 min 46 s
Channel: Kai Chen
Description: (II) 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 2.8 s later. How deep is the ocean at this point?

(II) 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 2.8 s later. How deep is the ocean at this point?

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Key Concepts

Distance Calculation Using Time and Speed

This principle employs the basic relationship where distance equals speed multiplied by time. In echo problems, since the signal covers the distance twice, it is essential to adjust the calculation accordingly, highlighting the importance of correctly interpreting the measured travel time.

Round-Trip Travel Time

In echo-based measurements, the total time recorded is for the sound wave's journey to the reflecting surface and its return to the source. This round-trip time must be divided by two to accurately compute the one-way distance to the reflecting surface.

Speed of Sound in Water

Sound travels at a specific, typically higher, speed in water compared to air—around 1500 m/s. This known value is crucial in calculations requiring the relationship between travel time and distance, as the speed directly influences the measurement accuracy.

Reflection of Sound Waves

This concept explains how sound waves, when encountering a boundary like the ocean floor, bounce back towards their source. Understanding reflection is key to interpreting echoes, which are used to determine distances in environments where direct measurement is not feasible.

Transcript

00:02 Is this question a sailor strikes aside picture just in old surface of the sea is that he hears the echo of the way reflected from the ocean floor directly, uh, directly below 2.8 seconds later.

00:20 So this if we'd sit.

00:22 This is ocean.

00:24 This is a border off the ocean.

00:28 Dissenter.

00:29 Pretty brush.

00:30 It introduces a software, sat travels, touches a bottom and goes up.

00:38 Is that place to for eight seconds and watch? you know how he is.

00:43 Ocean and justice is long over complicated.

00:49 Question is, the key is we already know type.

00:52 So in order to find justice, you $2 a velocity of so bush.

01:00 Fortunately, this is i thought something that we should have.

01:07 You double your bet.

01:08 Your soul will actually have to catch a wage.

01:11 One b is for ocean, so this is a formula off her to go away a liquid as a as introduced us attitude.

01:22 Where b is a book, la jitters row is the density and for water, what is oh percy, for whatever it is, just because it's liquid and both be in a row for sea water is actually it's a book, but it's not a chapter 50 and see his table.

01:55 What and table 13...

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