Calculating Tsunami Characteristics from Chilean Earthquake Data

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In summary, the conversation discusses the problem of modeling tsunamis in Hawaii caused by the 1960 Chilean earthquake. The equation y= 8 sin (pi/6)t is used to represent the waves, with y being in feet and t in minutes. The amplitude is found to be 8 and the period is 12 minutes. To determine the velocity of the wave, the distance between crests (21 km) and the period (12 minutes) can be used. However, there is some confusion about the value of .75 in the calculation. Additionally, it is mentioned that the same question was posted in another section, which is not recommended as it can waste the responders' time.
  • #1
tennistudof09
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We have this problem for math class:

For an interval of 45 minutes, the tsunamis near Hawaii caused by the chilean earthquake of 1960 could be modeled by the equation y= 8 sin (pi/6)t, where y is in feet and t is in minutes.

a) find the amplitude and period of the waves b) If the distance from one crest of the wave to the next was 21 kilometers, what was the velocity of the wave?

I know the amplitude is 8 and 2pi/ (pi/6) came out to be 12, so I got 12 for the period. For question b, in order to get the velocity, should i just do 21 x (.75)?
 
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  • #2
Where did you get ".75"?

Any way, if the distance from one crest to another is 21 km, then the length of the wave is 42 km. The time for one end of the wave to "move" to the other is the period, 12 minutes.
 
  • #3
You have posted the same question in another section. That's not a good thing to do, as responders can waste time answering a question that has already been answered.
 

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