1. The low-frequency speaker of a stereo set has a surface area of 0.05 m? and produces 1 W of acoustical power. (a) What is the intensity at the speaker? (b) If the speaker projects sound uniformly in all directions, at what distance from the speaker is the W intensity 0.26 m? Hint: If the sound projects uniformly in all directions, after traveling a distance r it is uniformly distributed over a sphere of area r. What is the surface area of a sphere of radius r? W (a) Intensity: 2 m (b) Distance (radius), r:

University Physics Volume 1
18th Edition
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Chapter16: Waves
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Problem 77P: The low-frequency speaker of a stereo set has asurface area of A=0.05 m2 and produces 1 W of...
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1. The low-frequency speaker of a stereo set has a surface area of 0.05 m and produces 1 W of
acoustical power.
(a) What is the intensity at the speaker?
(b) If the speaker projects sound uniformly in all directions, at what distance from the speaker is the
W
intensity 0.26
-?
m2
Hint: If the sound projects uniformly in all directions, after traveling a distance r it is uniformly
distributed over a sphere of area r. What is the surface area of a sphere of radius r?
W
(a) Intensity:
m?
(b) Distance (radius), r:
m
Transcribed Image Text:1. The low-frequency speaker of a stereo set has a surface area of 0.05 m and produces 1 W of acoustical power. (a) What is the intensity at the speaker? (b) If the speaker projects sound uniformly in all directions, at what distance from the speaker is the W intensity 0.26 -? m2 Hint: If the sound projects uniformly in all directions, after traveling a distance r it is uniformly distributed over a sphere of area r. What is the surface area of a sphere of radius r? W (a) Intensity: m? (b) Distance (radius), r: m
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