The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the region above the curve y=0.8x2 and below the line y=240. (Here, distances are measured in meters.) The water level is 32 meters below the top of the dam. Find the force exerted on the dam by water pressure. Water has a density of 1000 kg/m3, and the acceleration due to gravity is 9.8 m/sec2. Force = _________ in newtons Using integral application: Context from my notes:  In fluid without motion, the pressure P at depth h is P=w*h, where w is the fluid's weight - density. Fluid force on a constant - depth surface: F = p*A = w*h*A, where A stands for area of the surface.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.4: Applications
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The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the region above the curve y=0.8x2 and below the line y=240. (Here, distances are measured in meters.) The water level is 32 meters below the top of the dam. Find the force exerted on the dam by water pressure.

Water has a density of 1000 kg/m3, and the acceleration due to gravity is 9.8 m/sec2.

Force = _________ in newtons

Using integral application:

Context from my notes: 

In fluid without motion, the pressure P at depth h is P=w*h, where w is the fluid's weight - density.

Fluid force on a constant - depth surface: p*A = w*h*A, where A stands for area of the surface.

I keep getting an absurd number and don't know what I am doing wrong exactly. Thank you in advance for the help.

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