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

University Physics Volume 1
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter14: Fluid Mechanics
Section: Chapter Questions
Problem 98P: An oil gusher shoots crude 25.0 m the through a pipe with a 0.100-m diameter. Neglecting resistance...
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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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