In the case of a water wave oscillating up and down three times each second and with a distance of 2m between wave crests, we can determine the wave's frequency, wavelength, and wave speed.
Frequency (f): Frequency represents the number of complete oscillations or cycles per unit time. In this case, the wave oscillates three times per second, so the frequency is 3 Hz.
Wavelength (λ): The wavelength is the distance between two consecutive wave crests or troughs. In this case, the distance between wave crests is given as 2m. Therefore, the wavelength is 2m.
Wave Speed (v): The wave speed represents how fast the wave is propagating through the medium. It can be calculated by multiplying the wavelength (λ) by the frequency (f).
v = λ * f
Substituting the values we have:
v = 2m * 3 Hz v = 6 m/s
Therefore, the frequency of the water wave is 3 Hz, the wavelength is 2m, and the wave speed is 6 m/s.