L= loudness, in decibels (db); i = sound intensity, in watts/m2; i0 = 10−12 watts/m2

the loudness of a jack hammer is 96 db. its sound intensity is about 0.004.
the loudness of a compactor is 94 db. its sound intensity is about 0.0025.
the sound intensity of the jack hammer is about 1.6 times the sound intensity of the compactor.
the loudness of a pile driver is 112 db. about how many times the sound intensity of the jackhammer is the sound intensity of a pile driver? round to the nearest ten.

The sound intensity of the Pile Driver is 39.6  times the sound intensity of the jackhammer.

The given parameters are:

--- the loudness of the pile driver

Start by converting the loudness as follows:

Next, calculate the sound intensity (I) using:

Substitute 11.2dB for Lp

Make I the subject of formula

Lastly, we compare the sound intensities of the pile driver, and the jack hammer.

This gives

Divide

Hence, the sound intensity of the Pile Driver is 39.6  times the sound intensity of the jackhammer.

Read more about sound intensities at:

link

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