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

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
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 =
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

This note was uploaded on 08/26/2008 for the course PHYSICS 603 taught by Professor Sage during the Summer '06 term at Northwestern.

Ask a homework question - tutors are online