Chapter 5
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M Z V S 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.
0.67c
/4 0.025
c
m
c
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c
m
c
7
(0.002377)(100)(3)
Re
(3.7373 10 )
V c
6
Re 1.9 10
0.007 (for 0.67)
d
c c
2 2 2
1 1 (0.002377)(100) 11.9 lb/ft
2 2
q V
2
1( ) (1)(3) 3ftS c
/4
/4
(11.9)(3)(0.67) 23.9 lb
(11.9)(3)(0.007) 0.25lb
(11.9)(3)(3)( 0.025) 2.68 ft.lb
c
d
c m
L q S c
D q S c
M q S c c
5
3
(1.01 10 )
(287)(303) 1.61kg/m
p
RT
/4
0.98
0.012
c
m
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
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/4
(1024)(0.3)(0.98) 301N
(1024)(0.3)(0.01) 3.07 N
(1024)(0.3)(0.3)( 0.012) 1.1Nm
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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.
112
L
D
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
5 2
1.225 kg/m
1.01 10 N/m
1531
p
2 2
1 1
2 2
p V p V p q
160
p
(1.4)(1716)(510) 1107 ft/seca RT
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
1 ,
p
V
CV
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.
.
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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.
0
2 2
0.65
1 1
p
p
C
C
M 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.
0.436
4 3
390.5
7.1 10 slug/ft
T R
(1.4)(1716)(390.5) 969 ft/sec
(969)(2.2) 2132 ft/sec
a RT
V a 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.
0.67c
/4 0.025
c
m
c
/4
c
m
c
7
(0.002377)(100)(3)
Re
(3.7373 10 )
V c
6
Re 1.9 10
0.007 (for 0.67)
d
c c
2 2 2
1 1 (0.002377)(100) 11.9 lb/ft
2 2
q V
2
1( ) (1)(3) 3ftS c
/4
/4
(11.9)(3)(0.67) 23.9 lb
(11.9)(3)(0.007) 0.25lb
(11.9)(3)(3)( 0.025) 2.68 ft.lb
c
d
c m
L q S c
D q S c
M q S c c
5
3
(1.01 10 )
(287)(303) 1.61kg/m
p
RT
/4
0.98
0.012
c
m
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.
/4
(1024)(0.3)(0.98) 301N
(1024)(0.3)(0.01) 3.07 N
(1024)(0.3)(0.3)( 0.012) 1.1Nm
d
c m
L q S c
D q S c
M q S c c
L q S c
L
cq S
4 ,
(36.8)(0.4)
L q S c
d
D q S c
L q S 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.
112
L
D
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
5 2
1.225 kg/m
1.01 10 N/m
1531
p
2 2
1 1
2 2
p V p V p q
160
p
(1.4)(1716)(510) 1107 ft/seca RT
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
1 ,
p
V
CV
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.
.
C
C
0( 0.183)(0.706) 0.129
p
4 ,
0
0.58.
c
0.58 0.97
c
.
c0
,
c
0
1
c
c
M
2
(0.85) 1 (0.7) 0.607
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.
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.
0
2 2
0.65
1 1
p
p
C
C
M 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.
0.436
4 3
390.5
7.1 10 slug/ft
T R
(1.4)(1716)(390.5) 969 ft/sec
(969)(2.2) 2132 ft/sec
a RT
V a 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.