(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The phase velocity of ocean waves is [tex]\sqrt{\frac{g\lambda}{2\pi}}[/tex] , where g is 9.8 m/s2. What is the group velocity?

2. Relevant equations[tex]v_{p} = \omega/k[/tex]

[tex]v_{g} = \partial\omega/\partial k[/tex]

3. The attempt at a solutionSo I've been trying to find omega and k from the equation in the problem statement. I've tried isolating different variables and plugging back in. I've been at this for a while now. I don't know how many google searches I've done. The only place I can find the given equation is on wiki and they don't derive it. It's for my modern physics class and the book I'm using doesn't explain any of this...

I don't want the answer. I just want a hint to get me started.

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# Homework Help: Deriving group velocity

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