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

Answer 1

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