Problem

An engineer is observing a lawn water sprinkler that has two opposing arms that rotate aro...

An engineer is observing a lawn water sprinkler that has two opposing arms that rotate around the center base and spray out the water. The engineer reasons that it would spray the lawn just as well if it only rotated at a fraction of the speed it does now, and he figures he could extract some power from it in the process. He hooks up a small electric generator to the top of the center of rotation of the sprinkler. The sprinkler originally rotated at a rate of 240 rpm with a total water supply rate of 75 gal/m to both arms combined. The diameter of the outlets is | in., the distance from the centerline of the sprinkler to the outlets is 20 in., and the outlet jets are at 90° angles to the sprinkler arms in the horizontal plane. What is the maximum power that could be produced by the generator, if the minimum allowable sprinkler speed is 20 rpm?

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