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Exam I
CEES2223:Fluid Mechanics
SpringSemester,2001,Kibbey
February13, 2007
(75 minutes)
Note: Please write out the equations you are using to help me give you maximum
partial credit if you make a mistake! (You'll do much better if I can figure out
w h e r e v o u w e n t w r o n g. )
Unless otherwise specified, use the following density values for all problems:
P * n t " r :
1 0 0 0 k g / m 3
P,t,"..,,.)'(Ilg)
: 13550 kgim
A l s o : g : 9. 8 1 m / s 2
This is a Closed Book, Closed Note exam.
Pleasesign the Honor Council integrity pledge:
On m1thonor, I at'firm thot I hot,e neither given nor received inappropriate oid in the
completion o.f' this exercise.
T A B L EC. t A r e a s
A r * a Cr-lrtroirl
Sccond
nt c ittt:tt f
,Hertatrglr.r
T r i r r n g l e
C i r " c l *
S r. : mr c r r c l e
f t t i p s *
$ftefch
F. t u r l
; t +
. n * (^) , ---l- (^) l---1- rr _+-]
l l
Sketch
Islt (^) V l t l?
lslti2 y^ h i 3
n"#:i
; v
rDz,'8 (^) V 4r i3 r
r;il:
7
7 f:/:;"3{i
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T A B L E C. 2 V o l u f f r e s
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Surface
a rea^ Volttnte^ Centroicl
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irD
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r D ' i 6 V I
rtal fo =_-/ (^) =l
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t l r--- r') | u
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Quantitative Problems (3 problems; 33
oh each; 99
oh total)
Z. (
o ) If the pressurein the oil pipe^ (point (^) A) is 75 kPa eaee,cleterminethe pressurein the
waterpipe shownbelow (i.e.,point^ B in the figure). Show all work neededto answerthis
questionand indicateunits for full credit.
oir (s- 0.87) UnknownSolvent(S
-^ 0.65)
Water
Mercury (FIg)
a
6"
I
I
22 crn
l j I ! r , t -'1 l o '
v t p q
I' Ji
('?.
t) (-,) u ./' )
\ i
) v
. I l l
1 " " I J
-
1, ,.t"
T
4-rr{r
L(
-f-J
h
r
))*"
'i:.r,|
.--/ x --[
I I t_/'
t" t , l , I , l-t
- (33 %) The 5 m wide gateholdswaterin a reservoir,as^ shownbelow. The gateis in the
shapeof a quarlerellipse. What force, F, is neededto hold the gate^ closed? Show^ all work
neededto answerthis questionand indicateunits fbr full credit.
Gate Shape:
quafterellipse
Water
p: 1000 kg/rn
F
Hinge
%
l { 5 n
17
V /
1 *
4,5& ,,''{
,'''-------"---=*-i t * i 1 , , € [ { ,
i
1t4,
1 I t t , ...^-.+ L - - - ' "
lt
A , '
t\ ."
'^ r r
.?- t./
/ , : -
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l\ u^- ut | -'^--
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t^
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fil
:"-
1,*]I
:_-,6t]
f " - * -
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)*
,,
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ll
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A,,tL
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t
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oh) The diamond-shapedsolidwoodenobject(.5:0.77) shownbelow floatsin water.
Answer the following questions.Show all work and indicateunits fbr full credit.
A. (6 %) What volumeof water doesthe objectdisplace?
B. (
o ) lt the objectfloatsas shown,what is the draft of the object(i.e.,what is r/ in the
figure (^) below (as (^) indicatedon the sideview))?
C. (21 %) Is the (^) objectstableaboutit's longestaxis
below'?
t
v I
zl rn
I
'top
Vielv
- 2 r n
y l n
Side
Vielv
(the y axis) when floating as shown
77
7-.,
U
( //-)
? /
. / (
I
I
fl
t t l
t r l
|--
t "'---*l
Front
View
0{h
: ( u p )
I / ' / t_- *z
I
-.r -:* "v t t ..I &^- T ' T l - l
L - L. r
tf/ q / ' , /
f tl I /.^ i-r. ,r-rt-{ 3 G K
i' {-r-,' j 0 /l
q '. t 'r I t ,z' / v ) k { : ' / f A 4 / { (^) l - .1, r [ / : ? b - = --'/ t
5 \ -
fr {lhl, \ V J .-f f ^ l
. J - t )
i , ) r l. ' : ) 1 i, ..1 (^) ,!-
/l
"J
," t y'. ^
\ - I
. G G " / }
{ ' / J
_ * i r l \ {
4
y'"f ,. .;
I
X "
1 a A - LI , l ? * r f i od u 'f )L 'I't , u I / / tv ( - (^1) | U ' \
I ' i l i l t - t " t y^
'{'t. ) 3 i " ) W p { 5 { * * , { ;
IA\
1 u t l
