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Question:

Water pumping work problem?

A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 for g and 3.14 for pi . Round your answer to three significant digits.)The tank is a spherical shape has a radius r= 6m and a spout height of h=2m.I really dont know how to start this problem correctly. Any help will be appreciated. Thanks!

Answer:

The pump will not have to work until the water drains by gravity to the level of the spout. Then, Work = Weight of water * Height of lift Find the distance, d, of the center of mass for the remaining water in the bottom 2 m of the sphere. The height of lift will then be 2m - d. The hardest part is finding the distance d to the center of mass. I don't remember how to do that.

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