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Unformatted text preview: Problem Set #4 Due: Monday 9/28/09 10% bonus if turned in on Friday 9/25/09 1. [10 points] A cylindrical tank of diameter D = 3 m is filled with a liquid. A hole of diameter D e = 0.5 cm is opened in the bottom of the tank in order to drain the tank. The velocity of the liquid as it exits the hole depends on the height, h, of the liquid in the tank and can be approximated by The liquid in the tank has an initial height of 3 m. a. How long does it take for the tank to empty? (Note that as the height changes, the exit velocity will also change.) b. What is the initial volumetric flow rate from the tank? Assume the hole can be varied in size. What should the diameter be as a function of time, D e (t), so that the initial volumetric flow rate is maintained? In this case, how long would it take to empty the tank? Make a plot of the liquid height and the volumetric flow rate as functions of time for the two cases. (Put the curves for the two cases on the same plot for comparison.) h D D e U e...
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This document was uploaded on 01/22/2012.
- Fall '09