Question #2800

Suppose you are standing on a boat in the ocean looking out at a person swimming in the water. The waves swell under your boat at a frequency of 0.80 Hz, while traveling with a wave speed of 1.5 meters per second. At any given moment, you count that there are exactly 6 complete waves between you and the swimmer. How far away is the swimmer?

Expert's answer

We have that frequency ν=0.8 Hz, and wave speed V = 1.5 m/s.

Then the wavelength

λ=V / ν = 1.5 / 0.8 = 1.875

Hence the distance between the boat and the swimmer is equal to

6 * λ = 6 * 1.875 = 11.25 m

Then the wavelength

λ=V / ν = 1.5 / 0.8 = 1.875

Hence the distance between the boat and the swimmer is equal to

6 * λ = 6 * 1.875 = 11.25 m

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