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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

Verified Answer :

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 !)

ayfat23

The approximate wavelength of the wave is 17 meters.

Given;

\(wave speed = 340m/s\)

\(frequency = 20hz.\)

 

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

\(frequency=\frac{ speed }{ wavelength }\)

  • we can make speed the subject of the formula as

\(wavelength= \frac{ speed }{ frequency }\)

  • Then substitute the given values , we have

   \(Wavelength = \frac{ 340 }{ 20 }\)

        \(= 17 meters\)

Therefore, approximate wavelength of the wave is 17 meters.

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