A trumpet creates asound intensity level of 1.16 x 10^2 dB at a distance of 0.90

Question

A trumpet creates asound intensity level of 1.16 x 10^2 dB at a distance of 0.90 m. (a) What is the sound intensity of atrumpet at this distance? 1 (b) What is the sound intensity of five trumpets at thisdistance? (c) Find the sound intensity of five trumpets at the location ofthe first row of an audience, 7.40 maway, assuming, for simplicity, the sound energy propagatesuniformly in all directions. (d) Calculate the decibel level of the five trumpets in the firstrow. (e) If the trumpets are being played in an outdoor auditorium, howfar away, in theory, can their combined sound be heard?

Explanation / Answer

Let the distance be x the sound intensity at x distance to the five trumpet be Ix Ix=1,991*0,9^2/x^2 To be heard the sound intensity must larger than 10^-12 ( the soundintensity level is 0) so x=sqrt(1,991*0,9^2/10^-12)=1,27e6(m)

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