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; 09,.J.I464 - Fluid Mechnnics Fall20 I 0/20 II
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_.......-Midterm Exam Question 1 (7.5 Points)
\.._ / The sliding plate viscometer shown below is used to measure the viscosity of fluid. The top plate is moving to the right with a constant velocity of 10 mls in response to a force of 3 N. the bottom plate is stationary. What is the viscosity of the fluid? Assume a linear velocity distribution.
V ~ lo M/r t =] ,
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09-l1464 --Flu id Mechanics Fall 20 I 0/20 II
Question 3 (7.5 Points)
Name: -----------------------
An 90 inverted cone contains water as shown. The volume of the water in the cone is given by \1 = (tr I 3)h 3 The original depth of the water is_ l 0 em. A block with a volume of 200 ci1? and a specific gravity of 0.6 is floated in the water. What will be the change (in em) iri water surface height in the cone?
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0')c.l 146--l- Fluid ~.- Jech nn i cs Fall::!OI0/2 01 1 Name:
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Question 4 (7.5 Points)
In the drainage of irrigated lands it is frequently desirable to install automatic flap gates to prevent flood from backing up into lateral drains from a river. Suppose a square flap gate, of side .12_ = 1.5 ~ and weight 8 kN, is hinged 1 m above its center (a= 0.25 m), as shown in the figure below, and the face is sloped 4 from the vertical. To what depth will water rise behind gate before it opens.
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0941464 - Fluid Mechnnics Fall20 l 0/2011 Name:
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Formulas and Tables: Pw 1000 kgju1;) = 1.94 slugs/ft::~ p
p --
RT '"'fw 9810 Njn13 = 62.4 Ibf/ft:3
!1 9.8lln/s~ = 32.2 ftjs 2 F r hA
1/cp - + 1.'1:.?; 'If , yA
Fs =r v D M=-r f1z
For water: a= 0.073N I m
r ~ '7 1.< .t = !!'_ " l 2 - bh3 l,..,- 36 ~a-ll --
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100 X 10-6 '~ , 8~94;,~ 1 o:-7 ~:. ~~ .. ;s.oo~1o7 . ~ i2i 'x 19 7 ~- if'c
6.58 x 10 7
611 i:!.'i ,.,)>,,