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Two speakers on opposite sides of a concert stage are producing identical sound waves with a wavelength of 0.8 m. Consider only the direct waves coming straight from the speakers neglecting waves reflected from the ceiling, walls. etc. With only one speaker on at a time, at some point in the audience, the wave from one speaker has a pressure amplitude of 9 N/m2 and the wave from the other speaker has an amplitude of 8 N/m2. With both speakers on, what is the amplitude of the pressure oscillations (in N/m2) if the point in the audience is at equal distances from both speakers?
If the speakers are the same distance away, the waves constructively interfere
P = 9 N/m2 + 8 N/m2 = 17 N/m^2
NB: This is really loud. Intensity is proportional to pressure^2, so the relative intensity of the sound is
20 log( 17 N/m^2 / 20e-6 N/m^2 ) = 118 dB SPL
(Actually this reference level is measured at 1000 Hz, but you get the idea.)
m
Bose 601
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