Breakwaters affect wave height by reducing energy. (See the figure below.) If a tsunami wave of height H in a channel of width W encounters a breakwater that narrows the channel to a width w, then the height h of the HR 0.5, where R is the width wave beyond the breakwater is given by h ratio R = w/W. %3D Waves (a) Suppose a wave of height 8 feet in a channel of width 6000 feet encounters a breakwater that narrows the channel to 4000 feet. What is the height of the wave beyond the breakwater? (Round your answer to two decimal places.) ft (b) If a channel width is cut to one third by a breakwater, what is the effect on wave height? (Round your answer to two decimal places.) The new height is times the original height. Need Help? Read It Talk to a Tutor

Breakwaters affect wave height by reducing energy. (See the figure below.) If a tsunami wave of height H in a channel of width W encounters a breakwater that narrows the channel to a width w, then the height h of the HR 0.5, where R is the width wave beyond the breakwater is given by h ratio R = w/W. %3D Waves (a) Suppose a wave of height 8 feet in a channel of width 6000 feet encounters a breakwater that narrows the channel to 4000 feet. What is the height of the wave beyond the breakwater? (Round your answer to two decimal places.) ft (b) If a channel width is cut to one third by a breakwater, what is the effect on wave height? (Round your answer to two decimal places.) The new height is times the original height. Need Help? Read It Talk to a Tutor

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.2: Power Functions

Problem 17E: Tsunami Waves and BreakwatersThis is a continuation of Exercise 16. Breakwaters affect wave height...

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Tsunami Waves and BreakwatersThis is a continuation of Exercise 16. Breakwaters affect wave height by reducing energy. See Figure 5.30. If a tsunami wave of height H in a channel of width W encounters a breakwater that narrows the channel to a width w, then the height h of the wave beyond the breakwater is given by h=HR0.5, where R is the width ratio R=w/W. a. Suppose a wave of height 8 feet in a channel of width 5000feet encounters a breakwater that narrows the channel to 3000feet. What is the height of the wave beyond the breakwater? b. If a channel width is cut in half by a breakwater, what is the effect on wave height? 16. Height of Tsunami WavesWhen 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 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 with water depth d, then the new height h of the wave is given by h=HR0.25, where R is the water depth ratio given by R=D/d. a. Calculate the height of a tsunami wave in water 25feet deep if its height is 3feet at its point of origin in water 15,000feet deep. b. If water depth decreases by half, the depth ratio R is doubled. How is the height of the tsunami wave affected?
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