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

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 20°C. The speakers are in phase and the acoustic power output from each of the speakers is the same. The wavelength of the sound is =4.0m. The pressure amplitude at the origin is 0.029 Pa if one of the speakers is turned on. (a) Find the pressure amplitude at a point (x,y) = (-2.0 m, -2.0 m) if only speaker A is turned on. (b) Find the pressure amplitude at a point (x,y) = (-2.0 m, -2.0 m) if only speaker B is turned on. (c) Find the pressure amplitude at the origin if both speakers are turned on. (d) 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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