30 seconds of exposure to 115 db sound can damage your hearing, but a much quieter 94 db may begin to cause damage after 1 hour of continuous exposure. you are going to an outdoor concert, and you'll be standing near a speaker that emits 50 w of acoustic power as a spherical wave. what minimum distance should you be from the speaker to keep the sound intensity level below 94 db?

39.8 m ≈ 40 m

Explanation:

power (P) = 50 W

sound intensity level () = 94 dB

the distance (r) can be gotten from the equation I = (take not that π is shown as )

making r the subject of the formula we have r =   (take not that π is shown as )

But to apply this equation we need to get the value of the intensity (I)

now that we have the value of the intensity (I)  we can substitute it into the formula for the distance (r)

distance (r) =

r = = 39.8 m ≈ 40 m

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