4. If a water wave with length L moves with velocity v in a body of water with depth d, the velocity of the wave is given by (2nd gL · tanh 2n v = L Where g is the acceleration of gravity. Explain why the approximation gL v = is appropriate in deep water
4. If a water wave with length L moves with velocity v in a body of water with depth d, the velocity of the wave is given by (2nd gL · tanh 2n v = L Where g is the acceleration of gravity. Explain why the approximation gL v = is appropriate in deep water
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:4. If a water wave with length L moves with velocity v in a body of water with depth d, the velocity of the wave
is given by
gL
2nd
tanh
v =
2n
Where g is the acceleration of gravity.
Explain why the approximation
gL
v =
is appropriate in deep water
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