Can someone clarify Wave Power?

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The discussion centers on the discrepancies in wave power equations, specifically the values of 64pi, 8pi, and 32pi found in various sources. The original poster expresses skepticism about the Wikipedia entry and seeks clarification on the derivation of these formulas. They provide links to alternative sources that offer different constants for wave power calculations. The poster attempts to derive the equations using their physics books but has not matched any of the provided formulas. The conversation highlights the differences between trochoidal and sinusoidal wave equations in relation to wave height and amplitude.
FreshMint
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Alright, so wikipedia says:

4ceaceaf3d65c114c57a3f271b723c11.png


Where does this 64pi come from (i'm skeptical) apon further investigation I found.
http://www.esru.strath.ac.uk/EandE/Web_sites/01-02/RE_info/wave%20power.htm
Saying its 8pi

and finally

http://www.ocsenergy.anl.gov/documents/docs/OCS_EIS_WhitePaper_Wave.pdf
Saying its 32pi


Using my own physics books I've tried to derive the proper equation myself, but havn't had a match to either of these formulas.

P=FwkA^2 sin(kx-wt)^2

If someone can derive the equation I'm using to get one of these equations in terms of just
gravity, amplitude, and period, that would be great.
 
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The wave height (H) = twice the wave amplitude (a)

The Wiki formulae is for a trochoidal wave, the other two are for sinusoidal ones.
 
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