SOLUTION: Height of tsunami waves: when waves generated by tsunamis approach shore, the height of the waves gennerally increases. Understanding the factors that contribute to this increase c

Question 375796: Height of tsunami waves: when waves generated by tsunamis approach shore, the height of the waves gennerally increases. Understanding the factors that contribute to this increase can aid in controlling potential damage to areas at risk.
Greens law tells us how water depth affects the height of a tsunami wave. If a tsunami wave has height H at an ocean depth D, and the wave travels to a location of water depth d, then the new height h of the wave is given by h= HR^0.25, where R is the water depth ratio given by R=D/d.
A.) Calculate the height of a tsunami wave in water 25 feet deep if its height is a 3 feetat its point of orgin in water 15,000 feet deep.
B.) If water depth decreases by half, the depth ratio R is doubled. How is the height of the tsunami wave affected?
Helpful hints:
a power function has a form of: f(x)= cx^k
Please help;)
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Height of tsunami waves: when waves generated by tsunamis approach shore,
the height of the waves generally increases.
Understanding the factors that contribute to this increase can aid in
controlling potential damage to areas at risk.
:
Greens law tells us how water depth affects the height of a tsunami wave.
If a tsunami wave has height H at an ocean depth D, and the wave travels
to a location of water depth d, then the new height h of the wave is given
by h= HR^0.25, where R is the water depth ratio given by R=D/d.
:
A.) Calculate the height of a tsunami wave in water 25 feet deep if its
height is 3 feet at its point of origin in water 15,000 feet deep.
:
H=3, D=15000, d=25
:
h = 3(15000/25)^.25
h = 3*600^.25
h = 3*5.0
h = 15 ft
:
B.) If water depth decreases by half, the depth ratio R is doubled. How is the height of the tsunami wave affected?
In the above equation
h = 3*1200^.25
h = 3*5.9
h = 17.657 ft
:

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