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?

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Answer 1 · 2018-05-15T19:56:41

#color(blue)(20 \ \ \ kHz)#

Frequency #=f#

Wave speed #=v#

Wavelength #=lamda#

#f=v/lambda#

#f=(340ms^(-1))/(0.017m)=20000s^(-1)=20 kHz#

Answer 2 · 2018-05-16T12:36:42

#20,000# hertz or #20# kilohertz.

Frequency is given by the equation:

#f=v/lambda#

where:

#f# is the frequency of the wave in hertz

#v# is the velocity of the wave in meters per second

#lambda# is the wavelength in meters

So, we get:

#f=(340color(red)cancelcolor(black)"m""/s")/(0.017color(red)cancelcolor(black)"m")#

#=20000 \ "s"^-1#

#=20000 \ "Hz" \ (because 1 \ "Hz"-=1 \ "s"^-1)#

We can now convert to kilohertz for easier visualization, which is equal to:

#=20 \ "kHz"#