Aerodynamics Questions and Suggested Answers 8
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8/13/2019 Aerodynamics Questions and Suggested Answers 8
1/13
CKL_I]J LOG_P_]OPKKH EOLKHJLKI_HJSOPQJ]J ]OLHDIDFJ EKIKZQJK
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LDM EK]K ^OIKGKPKH 7 QEC 1111
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Khswor cdur (=) quostjdhs.
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8/13/2019 Aerodynamics Questions and Suggested Answers 8
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QEC 1111/ QW] 1111
[uostjdh ;
k) Mosarj`o bdw tbo ijct khm mrkf cdraos fohorktom `y k cjhjto spkh wjhf mjccor crde tbo
tbodrotjaki akso dc kh jhcjhjto spkh wjhf (kordcdji), khm tbo pbysjaki eoabkhjse cdr
tboso mjccorohaos. (3 ekrls)
Khswors7 Khmorsdh pf 1:? -1:3
Kh kjrcdji js sjepiy k soatjdh dc k wjhf.
]bo cidw dvor kh kjrcdji js twd-mjeohsjdhki.
Jh adhtrkst, k cjhjto wjhf js k tbroo-mjeohsjdhki `dmy, khm adhsoquohtiy tbo cidw
dvor tbo cjhjto wjhf js tbroo-mjeohsjdhki7 tbkt js, tboro js k adepdhoht dc cidw jh
tbo spkhwjso mjroatjdh. (1 ekrls)
]bo pbysjaki eoabkhjse cdr fohorktjhf ijct dh tbo wjhf js tbo oxjstohao dc k bjfb
prossuro dh tbo `dttde surckao khm k idw prossuro dh tbo tdp surckao. Ks k `y-
prdmuat dc tbjs prossuro je`kikhao, tbo cidw hokr tbo wjhf tjps tohms td auri
krduhm tbo tjps`ojhf cdraom crde tbo bjfb-prossuro rofjdh gust uhmorhoktb tbo tjpstd tbo idw-prossuro rofjdh dh tdp. Ks k rosuit, dh tbo tdp surckao dc tbo wjhf, tboro js
fohorkiiy k spkhwjso adepdhoht dc cidw crde tbo tjp tdwkrm tbo wjhf rddt, akusjhf
tbo strokeijhos dvor tbo tdp surckao td `ohm tdwkrm tbo rddt. Qjejikriy, dh tbo
`dttde surckao dc tbo wjhf, tboro js fohorkiiy k spkhwjso adepdhoht dc cidw crde
tbo rddt tdwkrm tbo tjp, akusjhf tbo strokeijhos dvor tbo `dttde surckao td `ohm
tdwkrm tbo tjp. Aiokriy, tbo cidw dvor tbo cjhjto wjhf js tbroo-mjeohsjdhki khm
tborocdro ydu wduim oxpoat tbo dvorkii kordmyhkeja prdportjos dc suab k wjhf td
mjccor crde tbdso dc jts kjrcdji soatjdhs. (1 ekrls)
`) Mosarj`o tbo Luttk adhmjtjdh cdr cidw krduhm kordcdji wjtb rocorohao td cjhjto khfio
khm auspom sbkpos trkjijhf omfo. (6 ekrls)
Khswor7]bo Luttk adhmjtjdh js tbo d`sorvktjdh tbkt cdr k ijctjhf kordcdji dc fjvoh sbkpo kt k fjvoh
khfio dc kttkal, tboro oxjst tbkt pkrtjauikr vkiuo dc ajrauiktjdh krduhm tbo kordcdji wbjab
rosuits jh tbo cidw iokvjhf seddtbiy kt tbo trkjijhf omfo. Jt prdvjmo k rokijstja cidw
sdiutjdh. (; ekrls)
Jc tbo trkjijhf omfo khfio js cjhjto, tboh tbo trkjijhf omfo js k stkfhktjdh pdjht,
tborocdro S;5S
05> (0 ekrls)
Jc tbo trkjijhf omfo js auspom, tboh tbo voidajtjos iokvjhf tbo tdp khm `dttde surckaos
kt tbo trkjijhf omfo kro cjhjtokhm oquki jh ekfhjtumo khm mjroatjdh. (0 ekrls)
^rossuro kt pdjht k js oquki cdr cidw iokvjhf tbo tdp khm `dttde surckaos
k+
;
0"S
;
0
5k+
;
0"S
0
0
# S;5S
0
Jh `dtb aksos, tbo strohftbdc tbo vdrtox sboot kt tbo trkjijhf omfo,
" ]O( ) 5" k( ) 5S; #S0 5> (0 ekrls)
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8/13/2019 Aerodynamics Questions and Suggested Answers 8
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- 1 -
QEC 1111/ QW] 1111
a) Ajrauiktjdh krduhm aidsom aurvo A js mocjhom ks , wboro khm kro tbo
voidajty khm mjstkhao kidhf A rospoatjvoiy.
Qtkrtjhf wjtb tbo mocjhjtjdh dc ajrauiktjdh, morjvo Loivjhs ajrauiktjdh tbodroe
. (6 ekrls)Khswor7 Khmorsdh pf 1;3-1;6, dr
Loivjhs ajrauiktjdh tbodroe stktos tbkt cdr kh jhvjsajm jhadeprossj`io cidw, tbo ajrauiktjdh
kidhf k aidsom aurvo wbjab edvos wjtb tbo ciujm mdos hdt abkhfo wjtb tjeo, j.o.
M"
Mt5
M
Mt# S$ m s
A%( ) 5>
M
Mt" S# ms
A$( ) 5"
MS
Mt# ms
A$ " S#
M ms( )MtA
$
M ms( )Mt
5mS
M"
Mt5 #
MS
Mt$ ms
A% # S$ mS
A% (0 ekrls)
Crde Ouior Oquktjdh, tbo cjrst tore dh tbo PBQ
MS
Mt5 "
;
#$p
" MS
Mt# msA$ 5
;
%&p # msA$ 5> (0 ekrls)
`oakusopjs tbo skeo kt tbo nstkrt' khm ncjhjsb' dc tbo iddp.
]bo soadhm tore
S" mSa
# 5 umu+ vmv + wmw( )a
# 5;
0m u
0+ v
0+w
0( )a
# 5;
0mq
0
a# 5 > (0 ekrls)
`oakuso q js tbo skeo kt tbo nstkrt' khm ncjhjsb' dc tbo iddp (aidsom aurvo).
]borocdro
M"
Mt5 #
MS
Mt$ ms
A% # S$ mS
A% 5
;
&'p $ ms
A% +
;
0mq
0
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8/13/2019 Aerodynamics Questions and Suggested Answers 8
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- = -
QEC 1111/ QW] 1111
[uostjdh 0
k) K adepiox pdtohtjki js fjvoh `y
V z( ) 5 =z +;
0z+
;
z0
Cjhm tbo voidajty voatdr kt tbo pdjht (x< y) 5 (;< ;) (;> ekrls)
Qdiutjdh7
V z( ) 5 =z +;
0z+
;
z05 =z +
;
0z";+ z
"0 mV z( )
mz5u " jv
mV z( )mz
5 = " ;
0z0" 0
;
z15 = "
;
0 x + jy( )0" 0
;
x + jy( )1
mV z( )mz
5 = " ;
0 x0+ j0xy + j
0y
0( )"
0
x0+ j0xy + j
0y
0( ) x + jy( ) (0 ekrls)
mV z( )mz
5 = " ;
0 ;+ j0 ";( )"
0
;+ j0 ";( ) ;+ j( )
mV z( )mz
5 = " ;
=j"
0
0j ;+ j
( )
5 = " ;
=j"
0
0j + 0j05 = "
;
=j"
0
"0+ 0j
mV z( )mz
5 = ""=j( )
=j "=j( )"
0 "0"0j( )"0+ 0j( ) "0"0j( )
mV z( )mz
5 = +=j
";3 j0+
0 0+ 0j( )
"0( )0
" 0j( )0
mV z( )mz
5 = +
j
=+
= + =j
= + =5 = +
j
=+
=
2+
=j
2 , j0
5 ";
mV z( )mz
5 =;
0+
j
=+
0j
=5 =
;
0+
1j
=
mV z( )mz
5 =.? + >.6?j 5u " jv " u 5=.? v 5 #>.6?
Soidajty voatdr kt pdjht (x< y) 5 (;< ;) js S5=.?
j" >.6?
g
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8/13/2019 Aerodynamics Questions and Suggested Answers 8
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- ? -
QEC 1111/ QW] 1111
`) Qtkrtjhf wjtb tbo oquktjdh khm usjhf Gduldwslj trkhscdrektjdhs
w 5z +`0
z, sbdw tbkt tbo ekfhjtumo dc voidajty [w jh w-pikho akh `o roiktom td tbo
ekfhjtumo dc voidajty [z
kt k adrrospdhmjhf pdjht jhz-pikho `y tbo cdiidwjhf
oquktjdh
[w 5
[z
;" 0 `
r
#
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ads0)+`
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wboro rkhm ! kro tbo pdikr addrmjhkto jhz-pikho. (;> ekrls)
Qdiutjdh7
[z 5[w"w
"z
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r0
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r0ads0$+ j
`0
r0sjh0$5u # jv
u 5;"`
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0ads0# v 5 "
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ekfhjtumo dc"w
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0+ v
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%
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+
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-
8/13/2019 Aerodynamics Questions and Suggested Answers 8
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- 3 -
QEC 1111/ QW] 1111
[uostjdh 1
]bjh ake`or ijho z 506
=
mz
msx ;"
x
a
#
$%
&
'(
0
, > " x" a js sot kt kh khfio dc kttkal !td tbo uhjcdre
cidw. _sjhf stkhmkrm oxprossjdh cdr tbjh kjrcdji tbodry
mz
mx"#5 "K
d+ K
h
h5;
$
% adsh&>, wboro x 5;
0a ;" ads&
>( )
j) Ovkiukto tbo Cdurjor adoccjajoht K>, K;, K0. (;3 ekrls)
jj) Cjhm tbo oxprossjdh cdr ijct adoccjajoht, AI5 0" K
d+
;
0K
;
#
$%
&
'(khm edeoht adoccjajoht,
AE
;
=
5
"
=K
0# K
;( ) jh tore dc khfio dc kttkal !khm ake`or mz ms. (= ekrls)
Qdiutjdh
j)mz
mx"#5 "K
d+ K
h
h5;
$
% adsh&>, wboro x 5;
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z 506
=
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Fjvoh tbkt
mz
mx"#5 "K
d+ K
h
h5;
$
% adsh&>
-
8/13/2019 Aerodynamics Questions and Suggested Answers 8
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- 6 -
QEC 1111/ QW] 1111
mz
mx5"# K
d+ K
;ads$
>+ K
0ads0$
>+ K
1ads1$
>+ .... (; ekrls)
Adepkro adoccjajoht
"# K>506
10
mz
ms$ K
>5"# 06
10
mz
ms (1 ekrls)
K;ads"
>5
06
2
mz
msads"
> # K
;5
06
2
mz
ms (1 ekrls)
K0ads0"
>5
2;
10
mz
msads0"
> # K
05
2;
10
mz
ms (1 ekrls)
K15 K
=5.....5>
Aboal cdr K>
Kd5"#
;
$
mz
mxm%
>>
$
&
Kd5"#
;
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06
=
mz
ms#;
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>+
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jj) ]borocdro
AI5 0" K
d+
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$%
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06
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ms+
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mz
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ms5#
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-
8/13/2019 Aerodynamics Questions and Suggested Answers 8
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- 2 -
QEC 1111/ QW] 1111
[uostjdh =
K strkjfbt siohmor wjhf wjtbdut twjst, js adhstruatom crde jmohtjaki kjrcdjis, wbjab eokhs
tbkt tboykii bkvo tbo skeo vkiuo dc k>5ma i m"occ . Jt eky curtbor `o kssueom tbkt k>js
jhmopohmoht dc!,khm tbkt tbo zord-ijct khfio dc kii tbo kjrcdjis js "I5>
5>
]bo wjhf mjspikys kh oiijptjaki ijct mjstrj`utjdh. Vjtbdut prddc jt eky `o kssueom tbkt cdrtbjswjhf tbo jhmuaom khfio dc kttkal js tboh fjvoh `y7
"j5
AI
#K
wboroAI
js tbo ijct adoccjajoht dc tbo wjhf, khmKtbo kspoat rktjd dc tbo wjhf.k. Qbdw tbkt cdr tbjs wjhf a
ijs adhstkht kidhf tbo spkh, khm sbdw tbkt7a
i5A
I
(;> ekrls)`. Morjvo tbo roiktjdh `otwooh tbo ijct-sidpo k 5mA
I m"dc tbo wjhf khm k
>5ma i m"occ
dc tbo kjrcdjis. (;> ekrls)Qdiutjdh7
k) Hd twjst7 sd !khm !I-> kro adhstkht khm ijct aurvo sidpo k>5 mai/m! ( "0#) js adhstkht
Khfio dc kttkal sooh `y tbo idaki kordcdji soatjdh js "occ 5"#"j
ai5k> \"occ#"I5>U5k> \"#"j #"I5>U wboro (k>5
mai
m"occ) (0 ekrls)
Ijct por uhjt spkh,"
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;
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-
8/13/2019 Aerodynamics Questions and Suggested Answers 8
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- : -
QEC 1111/ QW] 1111
`) Vo cduhm tbkt7
ai5A
I5 adhstkht
"
j
5
AI
# K
5 adhstkht
ai5k
>\"#"
j#"
I5>U (1 ekrls)
k>5
mai
m"
]borocdro, AI5a
i5k> \"#"j#"I5>U5k> "#"I5>#
AI
$ K
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5
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(0 ekrls)
-
8/13/2019 Aerodynamics Questions and Suggested Answers 8
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- ;> -
QEC 1111/ QW] 1111
[uostjdh ?
k) ]bo voatdr cdre dc tbo edeohtue oquktjdh cdr stokmy jhvjsajm cidw akh `o wrjttoh ks
"S # $( )S 5 %$p
Vrjto dut tbo cuii 1-mjeohsjdhki cidw oquktjdh jh mjccorohtjki cdre cdr akrtosjkh
addrmjhktos. (;> ekrls)
Qdiutjdh7
k) "S # $( )S 5 %$p
S 5 uj + vg+ wl
" 5 j ##x
+ g ##y
+ l ##z
S " # 5 uj + vg+ wl( ) " j $
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$
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(1 ekrls)
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$
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$z
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)*uj + vg+ wl( )
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;
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;
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-
8/13/2019 Aerodynamics Questions and Suggested Answers 8
11/13
- ;; -
QEC 1111/ QW] 1111
`) Qtkrtjhf crde tbo `jdt-Qkvkrt ikw mS 5"
=#
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-
8/13/2019 Aerodynamics Questions and Suggested Answers 8
12/13
- ;0 -
QEC 1111/ QW] 1111
[uostjdh 3
K HKAK 0=;0 kjrcdji wjtb ;.? e abdrm kt k Poyhdims hue`or dc Poa51.;";>
3jh stkhmkrm
sok iovoi adhmjtjdhs bkvo tbo cdiidwjhf abkrkatorjstjas7
`duhmkry ikyor tbjalhoss "5?.>x
Pox
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Pox
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j) tbo `duhmkry ikyor tbjalhoss kt tbo pdjht dc trkhsjtjdh, (? ekrls)
jj) tbo hot sljh crjatjdh mrkf adoccjajoht dvor tbo kordcdji. (;? ekrls)
Kssueo tbkt tbo arjtjaki Poyhdims hue`or cdr trkhsjtjdh crde ikejhkr td tur`uioht js
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-
8/13/2019 Aerodynamics Questions and Suggested Answers 8
13/13
- ;1 -
QEC 1111/ QW] 1111
]dtki mrkf cdr dho sjmo,
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