A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s2 for g. Use 1000 kg/m3 as the weight density of water.) - 4 m - 2 m 4 m 9 m W = 5488000 X J Enhanced Feedback Please try again. Try dividing the tank into thin horizontal slabs of height Ax. Let x be the distance between each slab and the spout. If the top surface of a slab has area A(x), then the slab's volume is approximately A(x)Ax. Use the volume to compute the force required to pump the water out, and multiply by x to compute the work required to pump the water out. The amount of work required to empty the tank can be written as a Riemann sum and converted into an integral. .------------------------------------------------------------------------------------------------------------

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s2 for g. Use 1000 kg/m3 as the weight density of water.)
|- 4 m -
2 m
4 m
t.
9 m
W = 5488000
X J
Enhanced Feedback
Please try again. Try dividing the tank into thin horizontal slabs of height Ax. Let x be the distance between each slab and the spout. If the top surface of a slab
has area A(x), then the slab's volume is approximately A(x)Ax. Use the volume to compute the force required to pump the water out, and multiply by x to
compute the work required to pump the water out.
The amount of work required to empty the tank can be written as a Riemann sum and converted into an integral.
Transcribed Image Text:A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s2 for g. Use 1000 kg/m3 as the weight density of water.) |- 4 m - 2 m 4 m t. 9 m W = 5488000 X J Enhanced Feedback Please try again. Try dividing the tank into thin horizontal slabs of height Ax. Let x be the distance between each slab and the spout. If the top surface of a slab has area A(x), then the slab's volume is approximately A(x)Ax. Use the volume to compute the force required to pump the water out, and multiply by x to compute the work required to pump the water out. The amount of work required to empty the tank can be written as a Riemann sum and converted into an integral.
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