Assignment_3_09 - TA's Name:_ Section: _ Your Name: _...

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TA's Name:____________________ Section: ____ Your Name: _________________________________ Physics 214, Spring 2009 1 Cornell University Physics 214 Assignment 3 Concepts: traveling waves waves on a string harmonic traveling waves sound waves Reading: AG Notes on Mechanical Waves (from website); Y&F, Vol. 1, Chapters 15 and 16 Assignment: Due in lecture on Tuesday, February 10. Please turn in this sheet stapled to the top of your work. Physics Problems: 1. Tsumanis. On December 26, 2004, a magnitude M w =9.3 earthquake struck off the coast of Sumatra, 30 km below the surface of the Indian Ocean. The motion of the sea floor created a tsunami. The water waves propagated across the ocean and then inundated coastal areas as far away as Sri Lanka and India, killing roughly 200,000 people. In the open ocean, the tsunami wavelength measured by the TOPEX/Poseidon and Jason-1 satellites was roughly 800 km, and the wave period was roughly 1 hour. (a) What was the speed of these waves? (b) A tsunami is an example of a shallow water wave, i.e., a wave whose wavelength is large compared with the water depth. The wave speed is given by v gH , where g=9.8 m/s 2 and H is the depth of the water in m. From your answer to (a), what was the water depth in open ocean? (c) The tsunami amplitude in open ocean was roughly 1 m. If you were in a boat on that ocean, what would be your maximum vertical speed as a tsunami wave passed? Would you notice this? (Near the shore, the wave speed dropped but its amplitude grew to as much as 16 m. See http://www.bom.gov.au/info/tsunami/tsunami_info.shtml for a nice discussion of tsunamis. Scroll down to the 2004 tsunami, and look at the animation showing how the waves propagated. 2. For an ideal transverse wave on a string, the only string motion occurs in the y direction. How then does the wave propagate in the x direction? What sets the string into motion far from where you first pluck it?
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This note was uploaded on 04/01/2009 for the course PHYS 2214 taught by Professor Giambattista,a during the Spring '07 term at Cornell University (Engineering School).

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Assignment_3_09 - TA's Name:_ Section: _ Your Name: _...

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