The loudness, l, measured in decibels (db), of a sound intensity, i, measured in watts per square meter, is defined as , where and is the least intense sound a human ear can hear. what is the approximate loudness of a rock concert with a sound intensity of 10–1? 2 db 22 db 60 db 110 db

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21-04-2022
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The loudness, l, measured in decibels (db), of a sound intensity, i, measured in watts per square meter, is defined as , where and is the least intense sound a human ear can hear. what is the approximate loudness of a rock concert with a sound intensity of 10–1? 2 db 22 db 60 db 110 db

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joaobezerra joaobezerra · Answer 1 · 2022-05-04T12:01:09+02:00

Using the loudness formula, it is found that the approximate loudness of a rock concert with a sound intensity of [tex]10^{-1}[/tex] is of 110 dB.

What is the loudness formula?

It is given by:

[tex]L = 10\log{\left(\frac{l}{l_0}\right)}[/tex]

In which [tex]l = 10^{-12}[/tex] is least intense sound a human ear can hear and l is the intensity.

In this problem, we have that the intensity is of [tex]l = 10^{-1}[/tex], hence:

[tex]L = 10\log{\left(\frac{l}{l_0}\right)}[/tex]

[tex]L = 10\log{\left(\frac{10^{-1}}{10^{-12}}\right)}[/tex]

[tex]L = 10\log{10^{11}}[/tex]

L = 10 \times 11

L = 110 dB.

More can be learned about the loudness formula at https://brainly.com/question/15854375

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