Answer: Threshold of Pain. You are investigating the

Chapter 15, Problem 26E

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QUESTION:

Threshold of Pain. You are investigating the report of a UFO landing in an isolated portion of New Mexico, and you encounter a strange object that is radiating sound waves uniformly in all directions. Assume that the sound comes from a point source and that you can ignore reflections. You are slowly walking toward the source. When you are 7.5 m from it, you measure its intensity to be \(0.11\mathrm{\ W}/\mathrm{m}^2\). An intensity of \(1.0\mathrm{\ W}/\mathrm{m}^2\) is often used as the “threshold of pain.” How much closer to the source can you move before the sound intensity reaches this threshold?

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QUESTION:

Threshold of Pain. You are investigating the report of a UFO landing in an isolated portion of New Mexico, and you encounter a strange object that is radiating sound waves uniformly in all directions. Assume that the sound comes from a point source and that you can ignore reflections. You are slowly walking toward the source. When you are 7.5 m from it, you measure its intensity to be \(0.11\mathrm{\ W}/\mathrm{m}^2\). An intensity of \(1.0\mathrm{\ W}/\mathrm{m}^2\) is often used as the “threshold of pain.” How much closer to the source can you move before the sound intensity reaches this threshold?

ANSWER:

Solution 26E

Step 1:

Initial Intensity

Final Intensity

Initial Radius

Final  Radius

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