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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