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A woman stands a distance $d$ from a loud motor that emits sound uniformly in all directions. The sound intensity at her position is uncomfortable $2.1 \times 10^{-3} W/m^2$. At a distance 2.5 times as far from the motor, what are (a) the sound intensity and (b) the sound intensity level relative to the threshold of hearing?
(a) Number
Units $W/m^2$
(b) Number 85.05
Units $dB$
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Hint
Knowns and Unknowns The data for this problem are listed below:
Description
Explicit Data
Symbol
Value
Comment
Sound intensity at first
$I_1$
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