Taking into account the definition of wavelength, frecuency and propagation speed, the velocity of a wave that has a wavelength of 6 m and a frequency of 3 Hz is 18 m/s.
Wavelength is the minimum distance between two successive points on the wave that are in the same state of vibration. It is expressed in units of length (m).
On the other side, frequency is the number of vibrations that occur in a unit of time. Its unit is s⁻¹ or hertz (Hz).
Finally, the propagation speed is the speed with which the wave propagates in the medium, that is, it is the magnitude that measures the speed at which the wave disturbance propagates along its displacement.
The propagation speed relate the wavelength (λ) and the frequency (f) inversely proportional using the following equation:
v = f×λ
In this case, you know:
Replacing in the definition of velocity or propagation speed:
v = 3 Hz× 6 m
Solving:
v= 18 m/s
Finally, the velocity of a wave that has a wavelength of 6 m and a frequency of 3 Hz is 18 m/s.
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