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A trough full of water is 10 ft long and its cross-section is in the shape of an isosceles triangle 2 ft wide across the top and 2 ft high. Set- up the equation for the work done in pumping all the water out of the trough if the density is 1000 lb/ft³. (Note: Put the bottom of the trough along the x-axis) OW=10,000 f (2 − y) (2) dy OW=20,000 (2 − y) (1) dy OW=10,000 (2 — y) (y) dy OW=20,000 (2- y) (y) dy

A trough full of water is 10 ft long and its cross-section is in the shape of an isosceles triangle 2 ft wide across the top and 2 ft high. Set- up the equation for the work done in pumping all the water out of the trough if the density is 1000 lb/ft³. (Note: Put the bottom of the trough along the x-axis) OW=10,000 f (2 − y) (2) dy OW=20,000 (2 − y) (1) dy OW=10,000 (2 — y) (y) dy OW=20,000 (2- y) (y) dy

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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A trough full of water is 10 ft long and its cross-section is in the shape of an isosceles triangle 2 ft wide across the top and 2 ft high. Set- up the equation for the work done in pumping all the water out of the trough if the density is 1000 lb/ft³. (Note: Put the bottom of the trough along the x-axis) OW= 10,000 (2- y) (2) dy O W = 20,000 ² (2 − y) ( ½) dy W = 10,000 ² (2 - y) (y) dy O W = 20, 000 ² (2 — y) (y) dy
Transcribed Image Text:A trough full of water is 10 ft long and its cross-section is in the shape of an isosceles triangle 2 ft wide across the top and 2 ft high. Set- up the equation for the work done in pumping all the water out of the trough if the density is 1000 lb/ft³. (Note: Put the bottom of the trough along the x-axis) OW= 10,000 (2- y) (2) dy O W = 20,000 ² (2 − y) ( ½) dy W = 10,000 ² (2 - y) (y) dy O W = 20, 000 ² (2 — y) (y) dy
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