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A trapezoidal trough with a base dimension of 8 ft by 4 ft, top dimension of 16 ft by 4 ft and height of 8 ft is filled with water. See picture below. Determine the work required to pump all the water out over the top of the trough. (Water weighs approximately 62.4 lb/ft). You must evaluate the integral but you do not need to simplify the addition/multiplication. trough (8,8) (0,0) (4,0) Front face

A trapezoidal trough with a base dimension of 8 ft by 4 ft, top dimension of 16 ft by 4 ft and height of 8 ft is filled with water. See picture below. Determine the work required to pump all the water out over the top of the trough. (Water weighs approximately 62.4 lb/ft). You must evaluate the integral but you do not need to simplify the addition/multiplication. trough (8,8) (0,0) (4,0) Front face

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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7. A trapezoidal trough with a base dimension of 8 ft by 4 ft, top dimension of 16 ft by 4 ft and height of 8 ft is filled with water. See picture below. Determine the work required to pump all the water out over the top of the trough. (Water weighs approximately 62.4 lb/ft3). You must evaluate the integral but you do not need to simplify the addition/multiplication. 16 trough (8,8) (0,0) (4,0) Front face
Transcribed Image Text:7. A trapezoidal trough with a base dimension of 8 ft by 4 ft, top dimension of 16 ft by 4 ft and height of 8 ft is filled with water. See picture below. Determine the work required to pump all the water out over the top of the trough. (Water weighs approximately 62.4 lb/ft3). You must evaluate the integral but you do not need to simplify the addition/multiplication. 16 trough (8,8) (0,0) (4,0) Front face
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1st we have to find work required to empty a horizontal slice of water and then integrate it to find total work needed to empty the tank .

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