An audio speaker producing a steady sound at an outdoor concert is 20 ft away from you. If you move to a position where the speaker is 62 ft

Question

An audio speaker producing a steady sound at an outdoor concert is 20 ft away from you. If you move to a position where the speaker is 62 ft distant, by what factor will the amplitude of the sound change

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Ben Gia 4 years 2021-08-26T06:11:25+00:00 1 Answers 28 views 0

Answers ( )

  1. sori
    0
    2021-08-26T06:13:12+00:00
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    Answer:

    The factor by which the amplitude would change is  k = 0.336

    Explanation:

    From the question we are told that

       The distance away from the observer is  d = 20\ ft

        The new position of the observer is  d_1 = 62 \ ft

    Generally amplitude is inversely proportional to distance

       

    Let A denote the amplitude of the sound at d

    So  

         A = \frac{1}{d}

    Now the amplitude at a distance 62 ft from the speaker can be mathematically represented as

           A_1 = \frac{d}{d_1} * A

     substituting values

           A_1 = \frac{20}{62} * A

           A_1 = 0.336 A

    so the factor by which the amplitude would change is  k = 0.336

     

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