A) Intensity:
B) Intensity:
C) Total intensity:
D) Distance:
Explanation:
A)
The relationship between intensity of a sound and power emitted is given by
where
I is the intensity
P is the power
A is the surface area at the distance considered
For the speaker in this problem:
P = 60 W
The distance is r = 1.0 m, so the area to consider is the surface of a sphere with this radius:
Therefore, the intensity is
B)
For this problem, we can use the same equation we used before:
where in this case, we have:
P = 60 W is the power of the speaker
r = 1.5 m is the distance considered
Therefore, the area of the spherical surface is
And so, the intensity here is
C)
In this problem, we have to consider 4 speakers. In order to find the total intensity, we have to add the intensity of each speakers.
For the two front speakers, we have
r = 1.0 m
So we have already calculated their intensity in part A), and it is
For the two rear speakers, we have
r = 1.5 m
So their intensity has been calculated in part B),
Therefore, the total intensity is
D)
In this case, we want to find the distance r at which the intensity is
Using four speakers with power
P = 0.06 W
Since we have 4 speakers, the intensity due to each speaker at the location considered must be
Using the usual equation, we find the area:
And so, we can find what is the corresponding distance:
So, the person must be at 138 km.
Learn more about sound waves:
brainly.com/question/4899681
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