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Quiz1 Jun-2009

# Quiz1 Jun-2009 - Quiz 1 DL Name(last Rubric Codes(first...

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Quiz 1 DL # Name (last) (first) |___|___|___ Rubric Codes : Student ID: ____________________ first 3 letters last name I certify by my signature that I will abide by the code of academic conduct of the University of California. Signature ANSWERS WITHOUT WORK WILL RECEIVE NO CREDIT. MARK YOUR ANSWERS CLEARLY. You can use a CALCULATOR y( x , t ) = y 0 +Asin( 2 1) (60%) You are on a small boat in the ocean. Big waves are passing underneath you at a rate of 4 wave crest every second, and the boat moves up and down in the vertical direction a maximum of 2 m. Waves are moving at a velocity of 4 m/s. Water waves are modeled by the ‘wave equation’ we have discussed in the Lecture/DLs. Write the wave equation for these waves. The general wave equation is: 2 2 y( , ) Asin( ) t x x t T π π φ λ = ± + . You can take phase constant ( φ ) to be zero. 2) (40%) Now you come to the lake in the arboretum and see smaller waves. These waves are 1/10 times as high as that at the ocean waves, and moving 1/12 times as fast. 10 wave crests passes under a floating duck every second. Is there enough information here to write a wave equation for these smaller waves? If so, write

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