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A 3 Hz wave has a wavelength of 0.4 m. Calculate the speed of the wave (in m/s).

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nuhulawal20

The speed of the wave with the given frequency and wavelength is 1.2m/s.

Given the data in the question;

  • Wavelength of the wave; [tex]\lambda = 0.4m[/tex]
  • Frequency; [tex]f = 3Hz = 3s^{-1}[/tex]
  • Speed of the wave; [tex]v = \ ?[/tex]

Wavelength

Wavelength is  the distance over which the shapes of waves are repeated. It is the spatial period of a periodic wave.

It is expressed as;

[tex]\lambda = \frac{v}{f}[/tex]

Where v is velocity/speed and f is frequency.

Now, we can easily get the speed of the wave by substituting our given values into the expression above.

[tex]\lambda = \frac{v}{f} \\\\0.4m = \frac{v}{3s^{-1}}\\ \\v = 0.4m * 3s^{-1}\\\\v = 1.2ms^{-1}\\\\v = 1.2m/s[/tex]

Therefore, the speed of the wave with the given frequency and wavelength is 1.2m/s.

Learn more about Speed, Frequency and Wavelength here: brainly.com/question/27120701

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