Water is filled to a height H = 196 m behind a dam of width w = 108 m (see the figure). Determine the resultant force exerted by the water on the dam. SOLVE IT Conceptualize Because pressure varies with depth, we cannot calculate the force simply by multiplying the area by the pressure. Categorize Because of the variation of pressure with depth, we must use integration to solve this example, so we categorize it as an analysis problem. dy Analyze Let's imagine a vertical y axis, with y = 0 at the bottom of

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Author:Paul Peter Urone, Roger Hinrichs
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Chapter12: Fluid Dynamics And Its Biological And Medical Applications
Section: Chapter Questions
Problem 61PE: Unreasonable Results A fairly large garden hose has an internal radius of 0.600 cm and a length of...
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Water is filled to a height H = 196 m behind a dam of width w =
108 m (see the figure). Determine the resultant force exerted by
the water on the dam.
SOLVE IT
Conceptualize Because pressure varies with depth, we cannot
calculate the force simply by multiplying the area by the pressure.
Categorize Because of the variation of pressure with depth, we
must use integration to solve this example, so we categorize it as
an analysis problem.
dy
Analyze Let's imagine a vertical y axis, with y = 0 at the bottom of
Transcribed Image Text:Water is filled to a height H = 196 m behind a dam of width w = 108 m (see the figure). Determine the resultant force exerted by the water on the dam. SOLVE IT Conceptualize Because pressure varies with depth, we cannot calculate the force simply by multiplying the area by the pressure. Categorize Because of the variation of pressure with depth, we must use integration to solve this example, so we categorize it as an analysis problem. dy Analyze Let's imagine a vertical y axis, with y = 0 at the bottom of
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