An outside loudspeaker (considered a small source) emits sOund waves with a power output of 100W. Find the intensity 10.0 m from the source

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frisiao · Accepted Answer

In this problem, a sound wave has a power output of   β  =  100  W. For this part, we calculate the intensity at distance r=10.0m from the source.The intensity is proportional to the power and inversely proportional to the square of the distance from the source. We have  I  =      β          4      π              r                  2                      =            100      W              4      π      (      10.0      m              )                  2                      =      1          4      π        =  7.95775  ×      10          −      2        W      /        m          2        I  =  7.96  ×      10          −      2        W      /        m          2      Result:  I  =  7.96  ×      10          −      2        W      /        m          2

smuklica8i · Accepted Answer

I  =      P          4      π              r                  2                      =      100          (      4      )      (      π      )      (      10              )                  2                      =  7.9577  e  −  2  W      /        m          2        ≈  0.0796  W      /        m          2      Result:  0.0796  W      /        m          2

An outside loudspeaker (considered a small source) emits sOund waves with a power output of 100W. Find the intensity 10.0 m from the source

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