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Giancoli's Physics: Principles with Applications, 7th Edition
12
Sound
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12-1: Characteristics of Sound
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12-2: Intensity of Sound; Decibels
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12-3: Loudness
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12-4: Sources of Sound: Strings and Air Columns
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12-5: Quality of Sound, Superposition
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12-6: Interference; Beats
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12-7: Doppler Effect
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12-8: Shock Waves; Sonic Booms
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Question by Giancoli, Douglas C., Physics: Principles with Applications, 7th Ed., ©2014, Reprinted by permission of Pearson Education Inc., New York.
Problem 68
Q

A meteorite traveling 9200 m/s strikes the ocean. Determine the shock wave angle it produces

  1. in the air just before entering the ocean, and
  2. in the water just after entering. Assume T=20∘CT = 20 ^\circ \textrm{C}.
A
  1. 2.1∘2.1^\circ
  2. 9.8∘9.8^\circ
Giancoli 7th Edition, Chapter 12, Problem 68 solution video poster
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VIDEO TRANSCRIPT

This is Giancoli Answers with Mr. Dychko. Sine of the angle of the shock wave is going to be the speed of sound divided by the speed of the meteorite. And we can solve for θ by taking the inverse sine of this ratio. So, the inverse sine of the speed of sound is 343 meters per second divided by 9,200 meters per second speed of the meteorite. And we get about 2.1 degrees for the angle of the shock wave with respect to the velocity. And then the angle the shock wave within the water, we assume that it's just after entering the water, so the meteorite still has the same speed, just going to now be the speed of sound in sea water which we can see in table 12-1 on page 329, that's 1,560 meters per second divided by the speed of meteorite 9,200. And we get about 9.8 degrees.

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