At a maximum level of loudness, the power output of a 75-piece orchestra radiated as sound is 72.2 W. What is the intensity of these sound waves to a listener who is sitting 22.3 m from the orchestra? Answer in units of W/m^2
Intensity = Power / area = 72.2 / [4Ï€ R^2]
4Ï€ R^2 = 4*22*22.3*22.3 /7 = 6249.13 m^2
I = 72.2 / 6249.13
I =11.55 * 10 ^ -3 W /m^2
intensity = power /area
intensity = 72.2 / (pi * 22.3^2)
intensity = 0.04621 W / m^2
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