33 - Work2

# 33 - Work2 - Work Continued Pumping Liquids Ex A...

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Work Continued Pumping Liquids Ex. A rectangular tank full of water has height 12 ft, width 3 ft, and length 5 ft. Find the work done in pumping all of the water to the top of the tank. The density of water is 62.4 lb./ft 3 .

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Suppose the tank is only 1/2 full. Suppose the tank is underground. Ex. A tank in the following shape is full of water. The height is 3m, the length is 10 m, and the width is 4 m. Find the work needed to pump the water to a height 5 m above the top of the tank. Density of water is 1000 kg/m 3 .
Do: Set up only integrals to find the work. 1. A tank shaped in the diagram is filled to within 4 feet of the top with milk. The height is 10 feet, the radius of the top circle is 3 feet, and the radius of the bottom circle is 7 feet. The density of milk is 64.5 lb./ft 3 . How much work does it take to pump the milk to the rim? 2. The tank below is filled to the top with milk. The radius of the end circles is 7 feet and the length of the cylinder is 4 feet. The outlet rises 1 foot from the top of the tank. How much work does it take to pump the milk out of the outlet at the top of the tank?

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33 - Work2 - Work Continued Pumping Liquids Ex A...

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