An audio engineer takes decibel readings at a distance of r1= 11m and r2= 23m from a concert stage speaker during a soundcheck. When he is r1 from the speaker, the engineer registers a decibel level of b(beta)1= 101 dB on his loudness meter.    a) what is the intensity of the sound, I1, in watts per square meter, that is measured by the loudness meter when the engineer is a distance of r1 from the speaker? b) how much power P, in watts, is coming from the speaker during the soundcheck at a distance r1

Principles of Physics: A Calculus-Based Text
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Chapter14: Superposition And Standing Waves
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An audio engineer takes decibel readings at a distance of r1= 11m and r2= 23m from a concert stage speaker during a soundcheck. When he is r1 from the speaker, the engineer registers a decibel level of b(beta)1= 101 dB on his loudness meter. 

 

a) what is the intensity of the sound, I1, in watts per square meter, that is measured by the loudness meter when the engineer is a distance of r1 from the speaker?

b) how much power P, in watts, is coming from the speaker during the soundcheck at a distance r1?

c) assuming that the speaker output does not change between the town measurements at r1 and r2, what sound intensity level b(beta)2, in decibels, will the loudness meter report when the engineer is at a distance r2 from the speaker? 

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