The highest-pitched sounds most humans can hear have a wavelength of .017 m in air. What is the frequency of these sound waves if the speed of the wave is 340 m/s?

djedgaravilafo

djedgaravilafo

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2022-08-20

The highest-pitched sounds most humans can hear have a wavelength of .017 m in air. What is the frequency of these sound waves if the speed of the wave is 340 m/s?

Answer & Explanation

Ben Reese

Ben Reese

Beginner2022-08-21Added 12 answers

Frequency=f
Wave speed=v
W a v e l e n g t h = λ
f = v λ
f = 340 m s 1 0.017 = 20000 s 1 = 20 k H z
Miguel Mathis

Miguel Mathis

Beginner2022-08-22Added 3 answers

Frequency is given by the equation:
f = v λ
where:
f is the frequency of the wave in hertz
v is the velocity of the wave in meters per second
λ is the wavelength in meters
So, we get:
f = 340 m / s 0.017 m
= 20000 s 1
= 20000 H z ( H z 1 s 1 )
We can now convert to kilohertz for easier visualization, which is equal to:
=20kHz

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