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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F57d18e04-45a7-4ff9-893b-371493a1a0d5%2Fb8dc3e2a-fa87-4e28-8d50-00274d02fc72%2Fq6rjifr_processed.png&w=3840&q=75)
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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