Question

Please read the following and find the decibel level of this animal sound round to the nearest whole number as needed

Answer 1

The intensity of the sound is given: I=2.8*10^7 watts per square meter.

Then, to find the decibel level of this sound, replace I=2.8*10^7 into the given formula:

`\begin{gathered} D=10\log (10^(12)I) \\ =10\log (10^(12)*2.8*10^7) \\ =10\log (2.8*10^(19)) \\ =194.47\ldots \\ \approx194 \end{gathered}`

Therefore, to the nearest whole number, the decibel level of this animal's sound is approximately 194 decibels. Since 194 is greater than 160, then this sound can rupture the human eardrum.