0
3/ 2 3/ 2
2
AR
L L
DL
D
C C
CC
Ce
2
0
AR
D
2
0
AR
D
0 i
3
D D
C C
0 i
3
D D
C C
2
3AR
L
C
Ce
0
max
3
DD
0 i
1
3
D D
C C 0
2
3 AR
L
D
C
Ce
1
2
0
(3 AR )
L D
C e C
PROPRIETARY MATERIAL. © 2012 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be
displayed, reproduced, or distributed in any form or by any means, without the prior written permission of the publisher, or used
beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. A
student using this manual is using it without permission.
88
3
34
2
0
0
max
3 AR
4
D
L
D D
e C
C
C C
2
AR / , hence AR (47)(6.5) 17.48 mb S b S
5 ft (5 / 3.28) m 1.524 m
h
PROPRIETARY MATERIAL. © 2012 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be
displayed, reproduced, or distributed in any form or by any means, without the prior written permission of the publisher, or used
beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. A
student using this manual is using it without permission.
AR (181)(6.2) 33.5 ft.
b S
/ 4 / 33.5 0.1194h b
0
(32.2)(0.002377)(181)(1.1){1659 [154.6 (0.2)(3000 2110]}
572 ft.
L
S
L,max
2W 2(103,047)
1.3 1.3 46.39 m/sec
(1.23)(47)(2.8)
T
VS C
0.7 32.47 m/sec.
T
V
2 2 2
1(0.5)(1.23)(32.47) 648.4 N/m
2
q V
,0D D
C C
,0 (648.4)(47)(0.032) 975.2 N
D
D q S C
2
,max 0.7
1.69 W
[ ( )
T
L
L r V
Sg C D W L
2
1.69 (103047) 268 m
(9.8)(1.23)(47)(2.8)[975.2 (0.4)(103,047)]
L
S
PROPRIETARY MATERIAL. © 2012 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be
displayed, reproduced, or distributed in any form or by any means, without the prior written permission of the publisher, or used
beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. A
student using this manual is using it without permission.
90
,max
2 2(3000)
1.3 1.3 114.4 ft/sec
(0.002377)(181)(1.8)
T
L
W
VS C
0.7 80.08 ft/sec.
T
V
493 ft
(32.2)(0.002377)(181)(1.8)[37.2 0.4 (3000)]
L
S
88
250 mph 250 ft/sec 366.6 ft/sec
60
V =
366.6 (0.3048) m/sec 111.7 m/sec.
2 2 2
1(0.5)(1.23)(111.7) 7673 N/m
2
q V
5
,max (7673)(47)(1.2) 4.358 10 N
L
L q S C
5
4.328 10 4.2
103047
L
nW
111.7 0.358 rad/sec
312
V
wR
15,000 ft
h
PROPRIETARY MATERIAL. © 2012 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be
displayed, reproduced, or distributed in any form or by any means, without the prior written permission of the publisher, or used
beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. A
student using this manual is using it without permission.
D
T D q S C
L
2 2
W W
D
2
2,0 0
D
W
q SC q T + S e
,0
2 2
D
C
2,0
4
D
C
T W W T
max max
A
1/ 2
2,0
max max
max
,0
4
AR
( )
D
A A
D
C
T W W T
W S S W e
VC
PROPRIETARY MATERIAL. © 2012 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be
displayed, reproduced, or distributed in any form or by any means, without the prior written permission of the publisher, or used
beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. A
student using this manual is using it without permission.
92
max ,0
6.2, ( / ) 18.5, and 0.015.
D
L D C
1/2
,0
,0
max
( AR)
2
D
L
D D
C e
C
C C
2
,0 max
4 ( / )
AR
D L D
C C C
e =
2
4(0.015)(18.5) 0.83
(7.0)
e
D
D q SC
A s
P P
A A
P T V
s
A
P
TV
(1.4)(1718)(411.86) 994.7 ft/seca RT
2 2 2
1 1 (0.00089068)(994.7) 440.6 1b/ft
2 2
q V
,0 ,0
(at 1) 10[ (at low speed)] 10(0.0211) 0.211
D D
C M C
(440.6)(334)(0.211) 31, 0511b
D
D = q S C
(at 30,000 ft) 0.00089068
HP (1500) (1500) 969 HP
(at 17,500 ft) 0.0013781
=
s(0.3)(969)(550) 1611b
994.7
A
P
TV
PROPRIETARY MATERIAL. © 2012 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be
displayed, reproduced, or distributed in any form or by any means, without the prior written permission of the publisher, or used
beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. A
student using this manual is using it without permission.
93
3
0.0012673 slug/ft
447.43
T R
(1.4)(1716)(447.43) 1036.8 ft/seca V
1036.8
A
TV
2
3,0
1
1
2AR
2
A D
W
P V S C
V S e
2 2
(14.45)
b
5
4 3 3.343 10
5.71 10 0.2113VV
PROPRIETARY MATERIAL. © 2012 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be
displayed, reproduced, or distributed in any form or by any means, without the prior written permission of the publisher, or used
beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. A
student using this manual is using it without permission.
94
max 62,6 m/sec.V V
W
,0
max
D D
1
7
m
kg kg 9.8N 1 hp 1 hr
0.2 0.2
(hp)(hr) (hp)(hr) 1 kg 746 Nm/s 3600 sec
7.3 10
f f
f
c
6
3.44 10 m 3440 km
R
3/4
3/2 ,0
,0
(3 AR)
4
D
L
D D
C e
C
C C
PROPRIETARY MATERIAL. © 2012 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be
displayed, reproduced, or distributed in any form or by any means, without the prior written permission of the publisher, or used
beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. A
student using this manual is using it without permission.
2
,AR
L
i D i
C
D Q S C q S e
2 3 2
1 1
2 2
88
(2.0482 10 ) (300)
60
q V
PROPRIETARY MATERIAL. © 2012 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be
displayed, reproduced, or distributed in any form or by any means, without the prior written permission of the publisher, or used
beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. A
student using this manual is using it without permission.
3
34
2
0
0
max
3 AR
4
D
L
D D
e C
C
C C
2
AR / , hence AR (47)(6.5) 17.48 mb S b S
5 ft (5 / 3.28) m 1.524 m
h
PROPRIETARY MATERIAL. © 2012 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be
displayed, reproduced, or distributed in any form or by any means, without the prior written permission of the publisher, or used
beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. A
student using this manual is using it without permission.
AR (181)(6.2) 33.5 ft.
b S
/ 4 / 33.5 0.1194h b
0
(32.2)(0.002377)(181)(1.1){1659 [154.6 (0.2)(3000 2110]}
572 ft.
L
S
L,max
2W 2(103,047)
1.3 1.3 46.39 m/sec
(1.23)(47)(2.8)
T
VS C
0.7 32.47 m/sec.
T
V
2 2 2
1(0.5)(1.23)(32.47) 648.4 N/m
2
q V
,0D D
C C
,0 (648.4)(47)(0.032) 975.2 N
D
D q S C
2
,max 0.7
1.69 W
[ ( )
T
L
L r V
Sg C D W L
2
1.69 (103047) 268 m
(9.8)(1.23)(47)(2.8)[975.2 (0.4)(103,047)]
L
S
PROPRIETARY MATERIAL. © 2012 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be
displayed, reproduced, or distributed in any form or by any means, without the prior written permission of the publisher, or used
beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. A
student using this manual is using it without permission.
90
,max
2 2(3000)
1.3 1.3 114.4 ft/sec
(0.002377)(181)(1.8)
T
L
W
VS C
0.7 80.08 ft/sec.
T
V
493 ft
(32.2)(0.002377)(181)(1.8)[37.2 0.4 (3000)]
L
S
88
250 mph 250 ft/sec 366.6 ft/sec
60
V =
366.6 (0.3048) m/sec 111.7 m/sec.
2 2 2
1(0.5)(1.23)(111.7) 7673 N/m
2
q V
5
,max (7673)(47)(1.2) 4.358 10 N
L
L q S C
5
4.328 10 4.2
103047
L
nW
111.7 0.358 rad/sec
312
V
wR
15,000 ft
h
PROPRIETARY MATERIAL. © 2012 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be
displayed, reproduced, or distributed in any form or by any means, without the prior written permission of the publisher, or used
beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. A
student using this manual is using it without permission.
D
T D q S C
L
2 2
W W
D
2
2,0 0
D
W
q SC q T + S e
,0
2 2
D
C
2,0
4
D
C
T W W T
max max
A
1/ 2
2,0
max max
max
,0
4
AR
( )
D
A A
D
C
T W W T
W S S W e
VC
PROPRIETARY MATERIAL. © 2012 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be
displayed, reproduced, or distributed in any form or by any means, without the prior written permission of the publisher, or used
beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. A
student using this manual is using it without permission.
92
max ,0
6.2, ( / ) 18.5, and 0.015.
D
L D C
1/2
,0
,0
max
( AR)
2
D
L
D D
C e
C
C C
2
,0 max
4 ( / )
AR
D L D
C C C
e =
2
4(0.015)(18.5) 0.83
(7.0)
e
D
D q SC
A s
P P
A A
P T V
s
A
P
TV
(1.4)(1718)(411.86) 994.7 ft/seca RT
2 2 2
1 1 (0.00089068)(994.7) 440.6 1b/ft
2 2
q V
,0 ,0
(at 1) 10[ (at low speed)] 10(0.0211) 0.211
D D
C M C
(440.6)(334)(0.211) 31, 0511b
D
D = q S C
(at 30,000 ft) 0.00089068
HP (1500) (1500) 969 HP
(at 17,500 ft) 0.0013781
=
s(0.3)(969)(550) 1611b
994.7
A
P
TV
PROPRIETARY MATERIAL. © 2012 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be
displayed, reproduced, or distributed in any form or by any means, without the prior written permission of the publisher, or used
beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. A
student using this manual is using it without permission.
93
3
0.0012673 slug/ft
447.43
T R
(1.4)(1716)(447.43) 1036.8 ft/seca V
1036.8
A
TV
2
3,0
1
1
2AR
2
A D
W
P V S C
V S e
2 2
(14.45)
b
5
4 3 3.343 10
5.71 10 0.2113VV
PROPRIETARY MATERIAL. © 2012 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be
displayed, reproduced, or distributed in any form or by any means, without the prior written permission of the publisher, or used
beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. A
student using this manual is using it without permission.
94
max 62,6 m/sec.V V
W
,0
max
D D
1
7
m
kg kg 9.8N 1 hp 1 hr
0.2 0.2
(hp)(hr) (hp)(hr) 1 kg 746 Nm/s 3600 sec
7.3 10
f f
f
c
6
3.44 10 m 3440 km
R
3/4
3/2 ,0
,0
(3 AR)
4
D
L
D D
C e
C
C C
PROPRIETARY MATERIAL. © 2012 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be
displayed, reproduced, or distributed in any form or by any means, without the prior written permission of the publisher, or used
beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. A
student using this manual is using it without permission.
2
,AR
L
i D i
C
D Q S C q S e
2 3 2
1 1
2 2
88
(2.0482 10 ) (300)
60
q V
PROPRIETARY MATERIAL. © 2012 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be
displayed, reproduced, or distributed in any form or by any means, without the prior written permission of the publisher, or used
beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. A
student using this manual is using it without permission.