Respuesta :
Answer:
Explanation:
There are a lot of assumptions needed for the calculation:
first is the speaker is a point source
second the speaker is 100% efficient in its output
third the sound output propagates as a sphere
Intensity = Power / Surface Area
= 70 / (4*pi*8.20^2)
= 0.082W/m^2
Converting into dB:
= 10*log ( Intensity / (1*10^-12))
= 10*log(0.0828/ (1*10^-12))
= 109 dB
The sound level will be 109 decibels. If a person exceed hear a sound more than the certain sound level, the person hearing may damage.
What is sound level?
Sound level is the intensity to measure the sound. Decibels are used to quantify sound level.
Sound level or the sound intensity is the ratio of the power to the surface area;
[tex]\rm Intensity = \frac{Pow\pi er }{Surface \ area} \\\\ \rm Intensity = \frac{70}{ 4 \times \pi \times 8 \times 20^{2} } \\\\ I = \ 0.082 \ W/m^2[/tex]
The conversion of the obtained value into the decibel as;
[tex]\rm I = 10 \times log \frac{I}{1 \TIMES 10^{-12}} \\\\\ I = 109 \ decibel[/tex]
Hence, the sound level will be 109 decibels.
To learn more about the sound level, refer to the link;
https://brainly.com/question/12899113
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