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Chapter 4
1 1 2 2
AV A V
2 1
2
1
4
A
2 2
1 2
1 2
2 2
2 1 1 2
2 2
( )
2
V V
p p
p p V V
3
62.4 1.94slug/ft
32.2
2 2
2 1
2
2 1
1.94 [(5) (1.25) ]
2
0.97(23.4) 22.7 lb/ft
p p
p p
4 2
17.01 10 N/mp
3
0.909 kg/m
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 2
1 1 2 2
2 2
p V p V
2 1 1 2
( / )
V V A A
1
80
2 2
1 3
1 1
2 2
p V p V
2 2
3 1
1 3
2( )
p p
V V
3
5
22
3 2(1.00 1.02) 10
1.5 3
(1.225) 1 2
V2102.22 m/secV
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.
21
1
88
130 mph 130 190.7 ft/sec
60
V
2 2
1 2 2 1
( )
2
p p V V
( / )
V V A A
1 2 1 1 2
2
2 2 2
1 2
1.225 (90) [(1.3) 1] 3423 N/m
2
p p
1
0 0 0
c e c
p T
p T
14 1
11.4
0
1
(300) 155 K
10
e
e
T T
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
0
2
e
e
V
h h 20
2( )
e e
V h h
20
2 ( )
e p e
V c T T
20
2 1 e
e p
T
V c T T
0
0
e p
2 2
1 2
1 2
2 2
p p
V V
c T c T
4 2
1
1
5.4 10 N/m
255.7 K
p
T
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.
1.4 1 3
812.5
0.0086 0.0051 slug/ft
1000
e
e e e
m A V
e
m
A
c
(0.0051)(1500)
e
e
1
88
1500 mph 1500 2200 ft/sec
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.
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.
25
295
518.69T R
(1.4)(1716)(518.69) 1116 ft/seca RT
(3)(1116) 3348ft/secV M a
(1.4)(1716)(389.99) 967.94 ft/seca RT
2200 2.27
967.94
V
Ma
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.
26
53
1.01 10 1.173kg/m
(287)(300)
p
RT
2 2
1 2 2 2 1
[1 ( / ) ]
2
p p V A A
p p h
2
88
200 mph 300 293.3 ft/sec
60
V
2 2
1 1 2 2
1 1
2 2
p V p V
1 1 2 2
A V A V
2
1 2
1
A
V V
A
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 3
1 1 3 3
1 1
2 2
p V p V
2
1 1 2 2 1 2
1
:A
AV A V V V
A
1 3
2 18 20
2
1 3 0.959lb/ftp p
3
2116 0.00233slug/ft
(1716)(70 460)
p
RT
2
0
1
2
p p V
2
0
1
2116 (0.00233)[150(88 / 60)]
2
p
2
0
1
2116 (0.00233)(220)
2
p
2
02172 lb/ftp
3
1572 0.00183slug/ft
(1716)(500)
p
RT
2( ) 2(1650 1572)
p p
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.
(1.4)(287)(270) 329 m/seca RT
4 2
1.94 10 N/mp
1
2
01
12
pM
p
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 2
1 1 2 2
2 2
p V p V
2 1 1 2
( / )
V V A A
1
80
2 2
1 3
1 1
2 2
p V p V
2 2
3 1
1 3
2( )
p p
V V
3
5
22
3 2(1.00 1.02) 10
1.5 3
(1.225) 1 2
V2102.22 m/secV
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.
21
1
88
130 mph 130 190.7 ft/sec
60
V
2 2
1 2 2 1
( )
2
p p V V
( / )
V V A A
1 2 1 1 2
2
2 2 2
1 2
1.225 (90) [(1.3) 1] 3423 N/m
2
p p
1
0 0 0
c e c
p T
p T
14 1
11.4
0
1
(300) 155 K
10
e
e
T T
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
0
2
e
e
V
h h 20
2( )
e e
V h h
20
2 ( )
e p e
V c T T
20
2 1 e
e p
T
V c T T
0
0
e p
2 2
1 2
1 2
2 2
p p
V V
c T c T
4 2
1
1
5.4 10 N/m
255.7 K
p
T
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.
1.4 1 3
812.5
0.0086 0.0051 slug/ft
1000
e
e e e
m A V
e
m
A
c
(0.0051)(1500)
e
e
1
88
1500 mph 1500 2200 ft/sec
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.
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.
25
295
518.69T R
(1.4)(1716)(518.69) 1116 ft/seca RT
(3)(1116) 3348ft/secV M a
(1.4)(1716)(389.99) 967.94 ft/seca RT
2200 2.27
967.94
V
Ma
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.
26
53
1.01 10 1.173kg/m
(287)(300)
p
RT
2 2
1 2 2 2 1
[1 ( / ) ]
2
p p V A A
p p h
2
88
200 mph 300 293.3 ft/sec
60
V
2 2
1 1 2 2
1 1
2 2
p V p V
1 1 2 2
A V A V
2
1 2
1
A
V V
A
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 3
1 1 3 3
1 1
2 2
p V p V
2
1 1 2 2 1 2
1
:A
AV A V V V
A
1 3
2 18 20
2
1 3 0.959lb/ftp p
3
2116 0.00233slug/ft
(1716)(70 460)
p
RT
2
0
1
2
p p V
2
0
1
2116 (0.00233)[150(88 / 60)]
2
p
2
0
1
2116 (0.00233)(220)
2
p
2
02172 lb/ftp
3
1572 0.00183slug/ft
(1716)(500)
p
RT
2( ) 2(1650 1572)
p p
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.
(1.4)(287)(270) 329 m/seca RT
4 2
1.94 10 N/mp
1
2
01
12
pM
p
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.
