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Solved Problems for Exam 1 - Fluid Mechanics | CEES 2223, Exams of Fluid Mechanics

Material Type: Exam; Professor: Kibbey; Class: Fluid Mechanics; Subject: CIVIL ENGINEERING AND ENVIRONMENTAL SCIENCE; University: University of Oklahoma; Term: Spring 2007;

Typology: Exams

2010/2011

Uploaded on 03/11/2011

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Exam I
CEES
2223:
Fluid Mechanics
Spring Semester,
2001, Kibbey
February
1
3, 2007
(7
5
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
where
vou went wrong.)
Unless otherwise specified, use
the following density values for all problems:
P*nt"r: 1000 kg/m3
P,t,"..,,.)'(Ilg)
: 13550 kgim3
Also:g:9.81 m/s2
Thisis a Closed
Book, Closed
Note exam.
Please sign the
Honor Council
integrity pledge:
On m1t honor, I at'firm thot I hot,e
neither given nor received inappropriate oid in the
completion o.f'
this exercise.
pf3
pf4
pf5
pf8
pf9
pfa

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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

  • hh3,"'

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T A B L E C. 2 V o l u f f r e s

v

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lu

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Surface

a rea^ Volttnte^ Centroicl

t n l * t - | : : l .1.'I +

  • l r I h _ _ t ' " ' - l _ Y

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t l r--- r') | u

H e r n i s p h e r e 3. r D? 1 4^ rD)!12^ y .., 3rr'

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 --[

  • ( , , ' - {. t7' {A

I I t_/'

t" t , l , I , l-t

  1. (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./

/ , : -

.{l V

I, ) t' f-rtu

'+r I

l\ u^- ut | -'^--

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t^

l r l

1 D I

fil

:"-

1,*]I

:_-,6t]

f " - * -

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f A

{ { , t

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PX

!"/

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v I

l 5 Y

)*

,,

T*

\ {

:

ll

I I

A,,tL

. l

1 t

t

V :

-7rr

: 1 1

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d

,i,*- 4(

q.*]

-? r U

r)

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l

^; { (r

? J o , ] 3

q

/

/ ^ t

(,ts\r l;t(,.-,\

(rrbi{.-?i\

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f,- b-+ f,, liu

i

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; e " { f

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X

l__.--

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\t

: b,,:f.)Y,,/V

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

  1. 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

  • 1.,

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," t y'. ^

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4

y'"f ,. .;

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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^

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