The record for the world’s loudest burp is 109.9 dB, measured at a distance of 2.5 m from the burper. Assuming that this sound was emitted as a spherical wave, what was the power emitted by the burper during his record burp?

Respuesta :

Answer:

Power of the source is 7.7 W

Explanation:

As we know that the sound level is measured as

[tex]L = 10 Log \frac{I}{I_o}[/tex]

now we have

[tex]L = 109.0 dB[/tex]

so we have

[tex]109.9 = 10 Log\frac{I}{10^{-12}}[/tex]

[tex]I = 0.098 W/m^2[/tex]

now power of the source is given as

[tex]P = I(4\pi r^2)[/tex]

[tex]P = 0.098(4\pi )(2.5^2)[/tex]

[tex]P = 7.7 W[/tex]