2. A tank in the shape of an inverted cone has a height of 10 meters and a base radius of 5 meters and is filled with water to a depth of 6 meters. Determine the amount of work needed to pump all of the water to the top of the tank. Assume that the density of the water is 1000 kg/m³ and gravity g10 m/s². Hint: Calculate the work done to lift the small rectangle all he way to the top and convert to an integral to obtain the total work 5 m Similar triangles give Ti %3D %3D 10 The force is given by 10 m 6 m F = [density] · [volume] · [gravity] And the volume is V T (radius)“ - height.

Physics for Scientists and Engineers
10th Edition
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter14: Fluid Mechanics
Section: Chapter Questions
Problem 10P: A tank with a flat bottom of area A and vertical sides is filled to a depth h with water. The...
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2. A tank in the shape of an inverted cone has a height of 10 meters and a base radius of 5 meters and is filled with
water to a depth of 6 meters. Determine the amount of work needed to pump all of the water to the top of the tank.
Assume that the density of the water is 1000 kg/m³ and gravity g 10 m/s².
Hint: Calculate the work done to lift the small rectangle all he way to the top and convert to an integral to obtain
the total work
5 m
Similar triangles give
1
%3D
10
The force is given by
10 m
6 m
F = [density] - [volume] · [gravity]
And the volume is V T· (radius) - height.
Transcribed Image Text:2. A tank in the shape of an inverted cone has a height of 10 meters and a base radius of 5 meters and is filled with water to a depth of 6 meters. Determine the amount of work needed to pump all of the water to the top of the tank. Assume that the density of the water is 1000 kg/m³ and gravity g 10 m/s². Hint: Calculate the work done to lift the small rectangle all he way to the top and convert to an integral to obtain the total work 5 m Similar triangles give 1 %3D 10 The force is given by 10 m 6 m F = [density] - [volume] · [gravity] And the volume is V T· (radius) - height.
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