If you want to know the speed of a long-wavelength wave (e.g. tsunami or tide), you can use the shallow-water wave velocity equation where g is acceleration due to gravity (~10 m/s2), d is water depth (in meters), and v = speed (in meters per second). a) Calculate the speed of a tsunami (in meters per second), assuming an average ocean depth of 4000m. b) Convert the speed of a tsunami from meters per second to meters per hour (note that 1 hr = 3600 seconds). c) Convert the speed of a tsunami from meters per hour to miles per hour (note that 1 mile = 1600m).

Applications and Investigations in Earth Science (9th Edition)
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ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
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1) If you want to know the speed of a long-wavelength wave (e.g. tsunami or tide), you can use the shallow-water wave velocity equation

where g is acceleration due to gravity (~10 m/s2), d is water depth (in meters), and v = speed (in meters per second).

 

  1. a) Calculate the speed of a tsunami (in meters per second), assuming an average ocean depth of 4000m.

 

  1. b) Convert the speed of a tsunami from meters per second to meters per hour (note that 1 hr = 3600 seconds).

 

  1. c) Convert the speed of a tsunami from meters per hour to miles per hour (note that 1 mile = 1600m).



2) An earthquake that happened on Feb 27th, 2010 generated a tsunami that covered most of the Pacific and severely damaged some Chilean coastal towns.  NOAA has a summary page of the tsunami data here.....

 

http://nctr.pmel.noaa.gov/chile20100227/

 

If you click on the “DART Buoy 32412” link in the bulleted list midway down the page, a graph showing when the tsunami reached a DART buoy will download to your computer.  DART is the network of tsunami measuring buoys around the world that monitor water pressure at the bottom to determine if a tsunami has passed over.   The largest amplitude on the graph shows the waves passing over. 

 

 If the DART buoy is 1500 miles from the source of the tsunami, how fast is the wave going in meters per second?  (This answer should be close to what you determine in Question #1).

  1. b) Another DART buoy was located 500 miles from the earthquake epicenter.  How long after the earthquake event do you expect a high amplitude signal was recorded for this DART buoy?

 

  1. c) The next day, a large storm passed over the offshore DART buoy, bringing high wind speeds causing large swells.  Given the explanation provided for the DART buoy measurements, would you expect an amplitude signal from the swells was recorded by the DART buoy?  Why or why not?   
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DART buoy is 1500 miles from the source of the tsunami, how fast is the wave going in meters per second?  (This answer should be close to what you determine in Question #1).

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