Speaker A is at (x, y) = (1.0 m, 2.0 m) and Speaker B is at (-2.0 m, 1.0 m). Bot

Question

Speaker A is at (x, y) = (1.0 m, 2.0 m) and Speaker B is at (-2.0 m, 1.0 m). Both of these speakers radiate sound uniformly in all directions in air at 20degreeC. The speakers are in phase and the acoustic power output from each of the speakers is the same. The wavelength of the sound is A = 4.0 m. The pressure amplitude at the origin is 0.029 Pa if one of the speakers is turned on. Find the pressure amplitude at a point (x, y) = (-2.0 m, -2.0 m) if only speaker A is turned on. Find the pressure amplitude at a point (x, y) = (-2.0 m, -2.0 m) if only speaker B is turned on. Find the pressure amplitude at the origin if both speakers are turned on. Find the pressure amplitude at a point (x, y) = (-2.0 m, -2.0 m) both speakers are turned on.

Explanation / Answer

a)    pressure amplitude =   0.029 * 5/25

                                       =   5.8 * 10-3 Pa

b)    pressure amplitude =   0.029 * 5/9

                                         =   0.0161 Pa

c)    pressure amplitude =   2 * 0.029 * cos0

                                       =   0.058 Pa

d)   pressure amplitude =     2 * 0.029 * cos(0.25)

                                      =   0.0562 Pa

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