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Exam5_Solutions2007

# Exam5_Solutions2007 - ME or BME Class_SOLUTIONS...

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ME or BME Class? _SOLUTIONS_ ____ NAME__ SOLUTIONS____ _________ Page 1 of 14 Fluid Mechanics Exam 5, Spring 2007 There are 8 problems on this exam for a total of 75 points Problem 1: del operator 8 points Problem 2: barometer and Bernoulli 6 points Problem 3: kinematics true/false 11 points Problem 4: pressure in tank 12 points Problem 5: varying gamma in tank 8 points Problem 6: average over a function 10 points Problem 7: acceleration 10 points Problem 8: Bernoulli plus flow rate 10 points By signing below I agree to abide by the following honor code: As a member of the Northwestern community, I will not take unfair advantage of any other member of the Northwestern community. I specifically agree not to reveal to any other student the contents of this exam. Signature: Date:

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ME or BME Class? _SOLUTIONS_ ____ NAME__ SOLUTIONS____ _________ Page 2 of 14 Problem 1: 7 points Consider the vector field V, the vector field A, and the scalar function Φ k xz j yz i xy V ˆ ˆ ˆ 2 2 2 + + = arrowrightnosp ) ˆ ˆ ˆ )( ( 2 3 4 k j i z y x A + + + + = arrowrightnosp Φ = x 4 + y 3 + z 2 If it is possible, find the quantities requested below. If it is not possible to find the quantity, write “not possible” in the box. HINT: Be Careful! In some of these problems, the order of operation may matter.
ME or BME Class? _SOLUTIONS_ ____ NAME__ SOLUTIONS____ _________ Page 3 of 14 You can use this page to work on problem 1 Be sure to write your final answers in the boxes provided on the previous page.

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ME or BME Class? _SOLUTIONS_ ____ NAME__ SOLUTIONS____ _________ Page 4 of 14
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ME or BME Class? _SOLUTIONS_ ____ NAME__ SOLUTIONS____ _________ Page 6 of 14 LEAK d h a Vacuum Reservoir h=1000 mm Hg Pressurized Chamber Problem 2) A) 3 points ) The level of mercury in a barometer in a pressurized chamber stands 1000 mm above the free surface of the mercury in the reservoir. What would be the corresponding level if the mercury (SG = 13.6) were replaced with water? Don’t forget units.
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Exam5_Solutions2007 - ME or BME Class_SOLUTIONS...

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