If a water wave with length L moves with velocity v in a body of water with depth d

Chapter 3, Problem 49

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If a water wave with length L moves with velocity v in a body of water with depth d, then v tL 2 tanhS 2d L D where t is the acceleration due to gravity. (See Figure 5.) Explain why the approximation v < tL 2 is appropriate in deep water.

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