Shallow-water velocity equation a. Confirm that the linear
Chapter 6, Problem 71(choose chapter or problem)
Shallow-water velocity equation a. Confirm that the linear approximation to f 1x2 = tanh x at a = 0 is L1x2 = x. b. Recall that the velocity of a surface wave on the ocean is v = B gl 2p tanh 2pd l . In fluid dynamics, shallow water refers to water where the depth-to-wavelength ratio d>l 6 0.05. Use your answer to part (a) to explain why the shallow water velocity equation is v = 1gd. c. Use the shallow-water velocity equation to explain why waves tend to slow down as they approach the shore.
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