HOMEWORK – WAVES NAME________________________ (20 points)
From the 4 waves shown on Page 2, fill in the following table (6 points per value):
Wavelength Wave Height
A
B
C
D
For the 4 waves shown on Page 2, determine the speed of the wave if the depth of the water is shown in the table below. Note: For this exercise any water depth less than ½ of the wavelength is considered a shallow-water wave, anything water depth greater than ½ of the wavelength is a deep-water wave (6 points per value). The equations you will use to solve for the waves speed are found in the 13th edition of your textbook on pages 254 and 255. Make sure you select the proper equations so your results will be expressed on the proper units.
Depth of water = 1.5 meters Depth of water = 3 meters
A
B
C
D
If wave’s A and B were to combine together, pick which of the 4 on Page 3 would be the resulting wave pattern. (4 pts) ____________
1
4 4
3 3
2 2
~ Q)
~ Q)
Q) Q)
-S 0 -S 0 :E :E -~ -1 -~ -1 I I
-2 -2
-3 -3
-4 -4
-5 -5
0 2 4 6 8 10 12 14 16 0 2 4 6 8 10 12 14 16 Distance (meters) Distance (meters)
4 4
3 3
2 2
~ Q)
~ Q)
Q) Q)
-S 0 -S 0 :E :E -~ -1 -~ -1 I I
-2 -2
-3 -3
-4 -4
-5 -5
0 2 4 6 8 10 12 14 16 0 2 4 6 8 10 12 14 16 Distance (meters) Distance (meters)
2
4 4
3 3
2 2 U) U) :v :v Q) Q)
-S 0 -S 0 1: 1: ~ -1 ~ -1 I
-2 I
-2
-3 -3
-4 -4
-5 -5
-6 -6
0 2 4 6 8 10 12 14 16 0 2 4 6 8 10 12 14 16 Distance (meters) Distance (meters)
4 4
3 3
2 2 U) U) :v :v Q)
-S 0 Q)
-S 0 1: 1: ~ -1 ~ -1 I
-2 I
-2
-3 -3
-4 -4
-5 -5
-6 -6
0 2 4 6 8 10 12 14 16 0 2 4 6 8 10 12 14 16 Distance (meters) Distance (meters)
3