An outside loudspeaker (considered a small source) emits sOund waves with a power output of 100W. Find the intensity 10.0 m from the source

Vorbeckenuc 2022-07-20 Answered
An outside loudspeaker (considered a small source) emits sOund waves with a power output of 100W. Find the intensity 10.0 m from the source
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Answers (2)

frisiao
Answered 2022-07-21 Author has 13 answers
In this problem, a sound wave has a power output of β = 100 W. For this part, we calculate the intensity at distance r=10.0m from the source.
The intensity is proportional to the power and inversely proportional to the square of the distance from the source. We have
I = β 4 π r 2
= 100 W 4 π ( 10.0 m ) 2
= 1 4 π
= 7.95775 × 10 2 W / m 2
I = 7.96 × 10 2 W / m 2
Result:
I = 7.96 × 10 2 W / m 2

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smuklica8i
Answered 2022-07-22 Author has 3 answers
I = P 4 π r 2
= 100 ( 4 ) ( π ) ( 10 ) 2
= 7.9577 e 2 W / m 2
0.0796 W / m 2
Result:
0.0796 W / m 2

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