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Take home exam #1 CE 319F Spring 2013 Dr. Hodges Rules: This exam is to be turned in at the start of class on Thursday, March 7, 2013. You MAY work...

Imagine a flexible tube that is 1.9 cm in diameter that is shaped as shown in the figure. Both ends are open to the atmosphere. Carefully into side A you pour 34 cm^3 of mercury, followed by 20 cm^3 of water. Into side B you pour 45 cm^3 of kerosene. Assume that there is no mixing between the fluids. Compute the elevation above the z=0 datum for the interface between
water/mercury, and the elevation of the interface between mercury/kerosene.
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1 Take home exam #1 CE 319F Spring 2013 Dr. Hodges Rules: This exam is to be turned in at the start of class on Thursday, March 7, 2013. You MAY work with 2 other students who are in the same lecture section of CE319F – that is, a team has a maximum of 3 people. At the top of your exam you MUST put the names of the two other students you worked with. Each student must turn in a separate exam. You may NOT consult the professor, TA’s, or tutors. You may NOT consult any other students, faculty, or persons outside of the two students you collaborate with in CE319F lecture section. In the above, “consult” includes both in-person and electronic media. You MAY consult textbooks, web pages and your class notes. Note: Email, twitter, etc. of questions/answers to people other than the (maximum) two other students you are working with is strictly forbidden. FAILURE TO ABIDE BY THESE RULES WILL RESULT IN A FAILING GRADE ON THE EXAM AND POSSIBLE REFERRAL FOR FURTHER DISCIPLINARY ACTION. Notes: These are intended to be difficult problems. A true test of engineering skill is not whether you can reproduce simple problems that you’ve seen before, but if you can take the ideas that you’ve learned in class and homework and apply them in new and complex situations. The problems on this test is meant to see whether you are developing these skills. Think about the problems carefully. Draw sketches. Check your work. These problems require you to think beyond the rote learning from class to see if you understand and can apply the principals that underlay the equations. If you simply try to apply the equations in cookbook style – without thinking about the physics – you are likely to go very wrong!
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2 Grading: Each problem is worth 20 points, and the entire test has 100 possible points. The starting point is a grading from 0 to 20 on the correctness of the answer. This grade will be my value judgment, with guideposts as follows. +20 Correct answer and methods +15 Wrong answer, but methods are mostly correct +10 Wrong answer, but methods are about half correct +5 Wrong answer, but was able to identify the basic type of problem. +0 Completely missed the fundamental ideas Note that I might decide to award +18, or +12, or any other number between 0 to 20 depending on my evaluation of the skills shown. Formatting and neatness (deducted from each problem) -10 Sloppy solution that is difficult to follow -2 Calculator errors; other minor errors. -5 Failure to include units consistently through problem (don’t just add these at the end!) -5 Failure to include a sketch -5 Failure to include labels that define the variables used in the equations -5 Failure to write down the underlying equations in terms of symbols from the sketch (I don’t want to see just a bunch of numbers)
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Solution:
Since diameter of the tube ‘D’ = 1.9 cm
Volume of mercury = 34 cm^3
Volume of water = 20 cm^3
Volume of kerosene = 45 cm^3
Now first we will find out the length of these fluids Length...

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