2 speakers on a stage are vibrating in phase, a person51.4m away from the left a

Question

2 speakers on a stage are vibrating in phase, a person51.4m away from the left and 30m away from the right who canrepond to frequencies from 20 to 20000Hz (speed of sound is343m/s) what are the 2 lowest frequencies that can be heardloudly from const. interference? do i find the wavelength @ 20 or 20000Hz? do i make a righttriangle? my answers are far out 2 speakers on a stage are vibrating in phase, a person51.4m away from the left and 30m away from the right who canrepond to frequencies from 20 to 20000Hz (speed of sound is343m/s) what are the 2 lowest frequencies that can be heardloudly from const. interference? do i find the wavelength @ 20 or 20000Hz? do i make a righttriangle? my answers are far out

Explanation / Answer

Path difference x = 51.4 -30 = 21.4 m speed of sound v = 343 m / s If the path difference is intergral multiplaes of wanelengththen sound heard loudly because of constructive interference. frequency f = v / x                  = 16.02 Hz therefore 2 lowest frequencies that can heard loudly is 2 ( 16.02 ) Hz , 3 ( 16.02 ) Hz = 32.04 Hz ,48.06 Hz

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