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L a. Set up an integral with respect to y representing the amount of work necessary to completely empty the tank. You will need to use the facts that the density of water is 1000 kg/m3 and the acceleration due to gravity is 9.8 m/s?. Answers should be in exact form (i.e., do not use a calculator to get a decimal approximation). y = dy y = b. Evaluate your integral from part a. Round your answers to the nearest whole number.

L a. Set up an integral with respect to y representing the amount of work necessary to completely empty the tank. You will need to use the facts that the density of water is 1000 kg/m3 and the acceleration due to gravity is 9.8 m/s?. Answers should be in exact form (i.e., do not use a calculator to get a decimal approximation). y = dy y = b. Evaluate your integral from part a. Round your answers to the nearest whole number.

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 tank with cross-sectional area the shape of an isosceles triangle is shown below. Suppose the height of the tank is H = 3 m, the width at the top is W = 1 m, the overall length is L = 7 m, and the pipe coming out of the top of the tank is P = 0.8 m. Moreover, suppose the tank is initially full of water. That is, D = 3 m. H a. Set up an integral with respect to y representing the amount of work necessary to completely empty the tank. You will need to use the facts that the density of water is 1000 kg/m3 and the acceleration due to gravity is 9.8 m/s?. Answers should be in exact form (i.e., do not use a calculator to get a decimal approximation). y = dy Y = b. Evaluate your integral from part a. Round your answers to the nearest whole number. J
Transcribed Image Text:A tank with cross-sectional area the shape of an isosceles triangle is shown below. Suppose the height of the tank is H = 3 m, the width at the top is W = 1 m, the overall length is L = 7 m, and the pipe coming out of the top of the tank is P = 0.8 m. Moreover, suppose the tank is initially full of water. That is, D = 3 m. H a. Set up an integral with respect to y representing the amount of work necessary to completely empty the tank. You will need to use the facts that the density of water is 1000 kg/m3 and the acceleration due to gravity is 9.8 m/s?. Answers should be in exact form (i.e., do not use a calculator to get a decimal approximation). y = dy Y = b. Evaluate your integral from part a. Round your answers to the nearest whole number. J
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