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A Sound wave has a frequency of 192 HZ and travels across a football field (91.4m) in 2 seconds. what is the wavelength of the sound wave?​

Respuesta :

The wavelength of the sound wave is 0.24 m

Explanation:

First of all, we calculate the  speed of the wave, which is the ratio between the distance covered by the wave and the time taken:

[tex]v=\frac{d}{t}[/tex]

where, for the wave in this problem

d = 91.4 m

t = 2 s

Substituting,

[tex]v=\frac{91.4}{2}=45.7 m/s[/tex]

Now we can find the wavelength of the wave by using the wave equation:

[tex]v=f \lambda[/tex]

where

v is the speed of the wave

f is its frequency

[tex]\lambda[/tex] is the wavelength

For the wave here,

f = 192 Hz

v = 45.7 m/s

Solving for the wavelength,

[tex]\lambda = \frac{v}{f}=\frac{45.7}{192}=0.24 m[/tex]

Learn more about waves:

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brainly.com/question/9077368

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