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A wave has a wavelength of 125 meters is moving at a speed of 20 m/s. What is it’s frequency?

Respuesta :

Answer: 0.16Hz

Explanation:

Given that:

wavelength (λ) = 125 meters

speed (V) = 20 m/s

frequency (F) = ?

Recall that frequency is the number of cycles the wave complete in one second. And its value depends on the wavelength and speed of the wave.

So, apply the formula V = F λ

Make F the subject formula

F = V / λ

F = 20 m/s / 125 meters

F = 0.16 Hz

Thus, the frequency of the wave is 0.16 Hertz.

The frequency of the wave moving at the given speed is 0.16 Hertz.

Given the data in the question;

  • Wavelength; [tex]\lambda = 125m[/tex]
  • Speed; [tex]v = 20m/s[/tex]

Frequency; [tex]f = \ ?[/tex]

To determine the frequency of the wave; we use the expression for the relations between wavelength, frequency and speed of wave.

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

Where [tex]\lambda[/tex] is wavelength, f is frequency and v is speed of wave

We substitute our values into the equation

[tex]125m = \frac{20m/s}{f}\\\\f = \frac{20m/s}{125m} \\\\f = 0.16s^{-1}\\\\f = 0.16Hz[/tex]

Therefore, the frequency of the wave moving at the given speed is 0.16 Hertz.

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