We want to put a wave energy conversion (WEC) hydrofoil into the ocean. First we perform water tank tests. Assume power output has the following functional dependenceP=f(λ,A, g,rho,τ,D, L).LandDare the length and diameter of the WEC foil,τis the wave period, rhois the fluid density, gis acceleration due to gravity, Ais the wave amplitude, andλis the wave length. Assume all length scales are 1:10between model and prototype; water is used in both cases.

(a) Userho, g, andAas the repeating variables to derive the dimensionless relation for power output.
(b) If the ocean has a period of 9 second waves, what should the wave period be for the model.
(c) From your experiment you get 1 Watt of power. How much power should you expect from the prototype.