# HW1A - λ >> d . (c) Tsunamis, produced by large...

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Assignment 1A Due Thursday, May 11 Physics U603 Summer 1 2006 1. Hecht, Ch. 2: 14, 17, 22, 42; Ch. 3: 26 2. Ocean waves: The expression for the speed of (long wavelength) waves on a water surface given in the class notes is valid in deep water. In genera l ,however ,thewavespeed c = s 2 π tanh μ 2 πd λ depends on the depth d of the water, as well as the wavelength λ and the acceleration g of gravity. (a) Show that this reduces to the expression given in class for deep water (or short wavelength) such that d>>λ . (b) Show that the speed is approximately c =
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Unformatted text preview: λ >> d . (c) Tsunamis, produced by large earthquakes or meteor impacts, qual-ify as “shallow water” waves even in the deepest parts of the ocean. Consider a tsunami with a 50 km wavelength and amplitude 3 m travelling in water with a depth of 4 km. Determine the speed and period of the wave. (d) The tsunami encounters increasingly shallow water as it approaches a coastline. When the water depth is 30 m, determine the speed, wavelength, and amplitude of the wave. (Use conservation of en-ergy. What is the period under these circumstances?) 1...
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## This note was uploaded on 08/26/2008 for the course PHYSICS 603 taught by Professor Sage during the Summer '06 term at Northwestern.

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