Crests of an ocean wave pass a pier every 10.0 s. if the waves are moving at 5.6 m/s, what is the wavelength of the ocean waves?

Every 10.0 seconds, a crest of the wave passes the pier. This means that the period of the wave is exactly 10.0 s:

which means that the frequency of the wave is


The wavelength of a wave is related to its frequency by the relationship

where v is the speed of the wave.
In this problem, v=5.6 m/s; if we use the previous formula, we find the wavelength of the wave:

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