SOLUTION: Loudness measured in decibels​ (dB) is defined by loudness=10 logr I Over ^I lower 0 ​, where I is the intensity and I0=10 Superscript negative 12 ​W/msquared. The noise l

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Question 1158792: Loudness measured in decibels​ (dB) is defined by loudness=10 logr I Over ^I lower 0
​, where I is the intensity and I0=10 Superscript negative 12 ​W/msquared.
The noise level inside a convertible driving along the freeway with its top up is 80 dB. With the top​ down, the noise level is 97 dB. Find the intensity of the sound with the top up and the top down.
Answer by KMST(5422) About Me  (Show Source):
You can put this solution on YOUR website!
Loudness (L) in decibels (dB) is calculated as L=10%2Alog%28%28I%2FI%5B0%5D%29%29 ,
where I%5B0%5D=10%5E-12 %22W%2F%22m%5E2 and I is sound intensity in the same units.
Solving for I:
L=10%2Alog%28%28I%2FI%5B0%5D%29%29 --> L%2F10=log%28%28I%2FI%5B0%5D%29%29 --> 10%5E%22L%2F10%22=I%2FI%5B0%5D --> I=I%5B0%5D%2A10%5E%22L%2F10%22
With the top up:
L=80%28in+DB%29 is the noise level inside a convertible,
so the sound intensity in %22W%2F%22m%5E2 is .
With the top down:
L=97%28in+DB%29 is the noise level inside a convertible,
so the sound intensity in %22W%2F%22m%5E2 is
(rounded).