The lowest pitched sounds humans can generally hear have a frequency of roughly 20hz. what is the approximate wavelength of these sound waves if their wave speed is 340m/s my

Respuesta :

AL2006

Wave speed  =  (wavelength) x (frequency)

     (340 m/s)  =  (wavelength) x (20/sec)

     (340 m/s) / (20/sec)  =  Wavelength

           17 meters            =  Wavelength

         (almost 56 feet !)

The approximate wavelength of the wave is 17 meters.

Given;

[tex]wave speed = 340m/s[/tex]

[tex]frequency = 20hz.[/tex]

 

  • From the formula for Frequency, we can find the formula for

[tex]frequency=\frac{ speed }{ wavelength }[/tex]

  • we can make speed the subject of the formula as

[tex]wavelength= \frac{ speed }{ frequency }[/tex]

  • Then substitute the given values , we have

   [tex]Wavelength = \frac{ 340 }{ 20 }[/tex]

        [tex]= 17 meters[/tex]

Therefore, approximate wavelength of the wave is 17 meters.

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