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Suppose you're trying to drain a tank of water using a variable-area tube as a siphon (as shown below, not to scale). You want

 

Suppose you're trying to drain a tank of water using a variable-area tube as a siphon (as shown below, not to scale). You want to do this as quickly as possible, so you want to maximize the flow rate out of the end of the tube. However, you also don't want to damage the tube due to cavitation effects. With this in mind, what is the maximum distance below the free surface, H, that you should put the end of the tube to avoid cavitation? Take htube = 1.8m, d2 = 0.077m, and d3 = 0.12m. The diameter d is the narrowest part of the tube. The height of the water column in the water barometer can be used to measure the vapour pressure. H= 9m number (rtol=0.02, atol=1e-08) htube m G d H - d3

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