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.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question

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.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning