26 Jun OCE 1001 Homework Assignment #8 – Waves
Question
OCE 1001 Homework Assignment #8 – Waves
Student Name:
For the four waves illustrated in Figure 1 on Page 3, complete the following table. (4 points each,
32 points total).
Wave
Wavelength (m)
Wave Height (m)
A
B
C
D
For the four (4) waves illustrated in Figure 1 on Page 3, determine the speed of each wave if the
depth of the water is as indicated in the table below. For this exercise, any water depth less than
½ of the wavelength is considered a shallow-water wave (i.e., wave speed is a function of water
depth), while any water depth greater than ½ of the wavelength is a deep-water wave (i.e., wave
speed is controlled by wavelength). The equations you will use to solve for wave speed are on
pages 240-241 in the 11th edition of your textbook. For a deep-water wave, the formula is S (in
m/s) = 1.25 √wavelength (in meters). For a shallow-water wave, the formula for wave speed is S
(in m/s) = 3.13 √water depth Make sure you select the proper equations based upon wavelength
and water depth and round your answers to the nearest tenths (i.e. one decimal place). (7 points
each, 56 points total)
Wave
Depth of water = 1.5 m
Depth of water = 3 m
A
B
C
D
1
If waves A and B were to combine (interference), which of the four graphs in Figure 2 on Page 4
would be the resulting wave pattern. Hint: Refer to page 246, particularly Figure 8.15, which
provides an overview of wave interference. (12 points)
Interference
Waves A and B
Corresponding Graph (page 4)
2
Figure 1
3
Figure 2
4
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