cr
2 2 2
1 1
2 2
5
cr
(1.23)(20) 246 N/m
Re 5 10
x
q V
V x
5 5 5
cr
(5 10 ) (1.789 10 )(5 10 ) 0.3636 m
(1.23)(20)
xV
0.2
0.074
A B
f
C
40
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.
40 m/secV
2 2 2
1 1
2 2 (1.23)(40) 984 N/m
q V
6
5
(1.23)(40)(4)
Re 11 10
L
V L
0.074 0.074 0.00289
C
A A
f f
45.5 3.84 41.66 N
A A B A
f f f
D D D
cr
0.5 5 0.5
1.328 1.328 0.00188
(Re ) (5 10 )
A
f
x
C
(984)(4)(0.1818)(0.00188) 1.345 N
A A
f f
D q S 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.
0.2
1
Re
f
C
Re ,
V L
0.2
1
f
C
V
2
0.2
1
f f
D q S C V
V
1.8
Df V
1
C
2 4 2
1 1
2 2 (1.23)(340.3) 7.12 10 N/m
q V
7
5
(1.23)(340.3)(4)
Re 9.36 10
(1.789 10 )
L
V L
0.074 0.074 0.00188
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.
3M
3(340.3) 1021m/secV M a
2 2 5 2
1 1
2 2 (1.23)(1021) 6.41 10 N/m
q V
8
5
(1.23)(1021)(4)
Re 2.81 10
(1.789 10 )
L
V L
inc 8 0.2
0.074 0.00151
(2.81 10 )
f
C
0.56
f
C
C
f
1
2
1
2
n
f
f
DV
D V
1948 340.3
n
0.4772
1.36
.
f
D V
n
V
(1.4)(287)(288) 340.2 m/sec.
a 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.
43
x=at = (340.2)(0.2) = 68 m
x=at = ( 340.2)(0.2) = 68 m
Vwave =Vgas + wave speed
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.
p1= 8.9876 × 104N/m2
3
11.1117 kg/m
1
1
4
2
2 1 4
1
3
2
7.9501 10
1.1117
8.9876 10
1.0184 kg/m
p
p
1 1 2 2
A V A V
2
1 2
0.5 (120) 15 mph
A
V V
1
60
2 2
1 2
1 2
2 2
2 1 1 2
1 2 1 2
1 2
p V p V
p p V V
5 2
1
3
1
1 atm 1.01 10 N/m
1.23 kg/m
6.705 m/sec
p
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.
(2) [ 2 tan ]
D
A h x
4 tan 4 tan15 1.0718 m
dA
dx
3
0
dv dA
A V
dx dx
dv V dA
dx A dx
dA
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.
40 m/secV
2 2 2
1 1
2 2 (1.23)(40) 984 N/m
q V
6
5
(1.23)(40)(4)
Re 11 10
L
V L
0.074 0.074 0.00289
C
A A
f f
45.5 3.84 41.66 N
A A B A
f f f
D D D
cr
0.5 5 0.5
1.328 1.328 0.00188
(Re ) (5 10 )
A
f
x
C
(984)(4)(0.1818)(0.00188) 1.345 N
A A
f f
D q S 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.
0.2
1
Re
f
C
Re ,
V L
0.2
1
f
C
V
2
0.2
1
f f
D q S C V
V
1.8
Df V
1
C
2 4 2
1 1
2 2 (1.23)(340.3) 7.12 10 N/m
q V
7
5
(1.23)(340.3)(4)
Re 9.36 10
(1.789 10 )
L
V L
0.074 0.074 0.00188
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.
3M
3(340.3) 1021m/secV M a
2 2 5 2
1 1
2 2 (1.23)(1021) 6.41 10 N/m
q V
8
5
(1.23)(1021)(4)
Re 2.81 10
(1.789 10 )
L
V L
inc 8 0.2
0.074 0.00151
(2.81 10 )
f
C
0.56
f
C
C
f
1
2
1
2
n
f
f
DV
D V
1948 340.3
n
0.4772
1.36
.
f
D V
n
V
(1.4)(287)(288) 340.2 m/sec.
a 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.
43
x=at = (340.2)(0.2) = 68 m
x=at = ( 340.2)(0.2) = 68 m
Vwave =Vgas + wave speed
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.
p1= 8.9876 × 104N/m2
3
11.1117 kg/m
1
1
4
2
2 1 4
1
3
2
7.9501 10
1.1117
8.9876 10
1.0184 kg/m
p
p
1 1 2 2
A V A V
2
1 2
0.5 (120) 15 mph
A
V V
1
60
2 2
1 2
1 2
2 2
2 1 1 2
1 2 1 2
1 2
p V p V
p p V V
5 2
1
3
1
1 atm 1.01 10 N/m
1.23 kg/m
6.705 m/sec
p
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.
(2) [ 2 tan ]
D
A h x
4 tan 4 tan15 1.0718 m
dA
dx
3
0
dv dA
A V
dx dx
dv V dA
dx A dx
dA
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.