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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 Spring '12
 Many
 wave equation

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