MUNSON - livro.pdf

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A nswers to Selected
Even-Numbered
Homework Problems
*Problems marked with an * are intended to be solved with the aid of a programmable calculator or computer.
Chapter 1
1.4
10 4 N
10 3 K; 5.76
s
m 2
FL 2 ;
FL 3 ;
1
a
2
1
b
2
1
c
2
FL
1.54
1.56
1.58
ratio
1
1.6
2
1.8 dimensionless; yes
1.10 dimensionless; yes
1.12 yes
1.14
1
b
7.22°
0.552 U
d N
m 2
acting to left on plate
153 s 1 ; C 2
4350 ft 2 s 1
*1.60
1
a
2
C 1
10 5 lb
10 5
1
b
2
5.72
ft 2
1
y
0
2
; 6.94
1
a
2
4.32 mm
s;
1
b
2
70.2 kg;
1
c
2
13.4 N;
lb
ft 2
1
y
0.05 ft
2
s 2 ;
m 2
1
d
2
22.3 m
1
e
2
1.12 N
s
1.62
*1.64
1.68
1.70 104 psi
1.72
1.74
1.76 1.06
1.78 4.74 psia
1.80 70.1 kPa
0.944 ft
lb; 17.8 ft
lb
s
10 5 m 2 ;
10 5 J;
1.16
1
a
2
6.47
1
b
2
7.83
2.45 lb
s
ft 2
10 5 m;
10 4 W;
1
c
2
3.86
1
d
2
5.90
3.00
10 5 psi
1
e
2
289 K
10 2 m 3
1.20
1
a
2
7.57
s;
1
b
2
4,540 liters
min;
1.52 kg
m 3
2.67 ft 3
2
1.22 30.6 kg; 37.3 N
1.24
1.26
1.28
*1.30
1
c
s
E n
1
water
2
E n
1
air
2
1.52
10 4
ft 3 ; 1.37
2.65 slugs
0.0186 ft 3 ; no
1
abs
2
; 10.2 psia
m 3 ; 1.63
10 3 kg
m 3 ; 1.63
16.0 kN
1.82 97.9 Pa
1.84
0.004095 T 2 ;
r
1001
0.05333 T
2
1.86 0.0614 in.
1.88 water column
1
a
24.5°
m 3
991.5 kg
1.32 58.0 kPa
1.34 oxygen
1.36
1.40
1.42 31.0%
1.44
1.46
1.48 15,000
10 3 slugs
ft 3 ; 0.622 lb
6.44
10 3 N
m 2 ; 3.1
10 5 lb
ft 2
1.5
s
s
Chapter 2
2.2
1
a
2
16.0 kPa; 9.31 kPa;
1
b
2
no
10 5 N
m 2 ; 10.4
10 7 lb
ft 2
5
s
s
2.6
50.5 M Pa; 7320 psi
ft 2 ; larger
0.116 lb
s
2.8
No
1
water
2
; 752
1
air
2
2.10
2.12 36,000 lb
2.16
p
K h 2
2
g 0 h
10 6 kg
K 1
2
*1.50
*1.52
C
1.43
1
m
s
2
;
10 6 N
m 2 ; B
D
1.767
s
1.870
7.7 psi
ANS-1
939791407.006.png 939791407.007.png
ANS-2
Answers to Selected Even-Numbered Homework Problems
3.6
3.8
0.838 psi
ft; 0.0292 psi
ft
2.18
1
a
2
0.759 m; 0.759 m
1
without vapor
r V 2
r cz 2
p
1 ⁄ 2
r g 0 z
1 ⁄ 2
constant
pressure
2
;
1
b
2
10.1 m; 10.3 m
1
without vapor
3.10
12.0 kPa;
20.1 kPa
pressure
2
;
1
c
2
12.3 m; 13.0 m
1
without vapor
ft 3 ;
ft 3
3.12
1
a
2
4.97 lb
1
b
2
0.681 lb
pressure
2
ft 2
ft 2
3.14
3.16
3.18
34.2 ft
s; none
2.20
1
a
2
1240 lb
1
abs
2
;
1
b
2
1040 lb
1
abs
2
;
ft 2
ft 2
8.93 lb
1
c
2
1270 lb
1
abs
2
m 3
43.0 psi
2.22
2.24
12.1 kPa; 0.195 kg
3.20
10.7 s
4.67 psi
ft 2 ; 124 lb
ft 2
m 3
3.22
3.24
10.8 lb
2.26
2.28
7,100 N
ft 2 ;
ft 2
1
a
2
5.12 lb
1
b
2
4.10 lb
78.4 lb
10 5 kN
m 2 ; 5.50
10 6 m 3
3.26
3.28
2.45
s
2.32
0.224 psi
1.40 mph
2.34
2.36
h
1
p 1
p 2
2
1
g 2
g 1
2
1.56 D 2 , where Q
m 3
3.30
3.32
3.34
Q
s, D
m
0.040 m
0.0156 m 3
s
2.38
94.9 kPa
m 3
45.7 ft
2.40
2.42
1930 kg
p 2 gD 1 4 z
8 Q 2
1
4
3.36
3.38
3.40
D
D 1
3
1
1
24
4.06 ft
10 4 m 3
2.54
s
2.44
2.46
27.8°
30 deg
0.304 ft
1
down
2
3.42
0.188 in.
2.48
665 lb
3.44
19.63 psi
2.50
2.52
4.51 kPa
3.46
2.50 in.
1350 lb
3.48
1.31 ft
2.54
33,900 lb; 2.49 ft above base of triangle
3.50
3.52
8.11 psi
2.56
2660 lb
2.34
2.58
436 kN
3.54
From
0.229 d 10 to 1.00 d 10
2.62
1
a
2
1060 kN
1
rectangle
2
; 1010 kN
1
semicircle
2
;
10 6 N
3.58
15.4 m
1
b
2
1.37
m
3.60
1.98 ft
2.64
1.88 ft
3.62
5.18 psi
*2.66
426 kN; 2.46 m below fluid surface
0.303 ft 3
ft 2 ; 312 lb
ft 2 ;
ft 2
3.64
3.66
s; 499 lb
187 lb
2.68
0.146
2.70
2.72
F H
882 kN; F V
983 kN; yes
0.37 m
10 9 lb
3.68
7.53 ft
7.77
acting 406 ft up from base of
7.38 m 3
3.70
3.72
3.74
3.76
3.82
s
dam
0.351 ft 3
s
2.74
3360 psi
10 3 m 3
8.68
s
2.76
60.8 kN; 0.100 m below center of tank end
wall
0.998 z 1
4
R
3.97 ft 3
29.0 ft
s;
7.98 psi;
s
2.78
203 kN
3.84
53.4 psi; 48.1 psi
2.80
585 lb acting vertically downward along
vertical axis of bottle
10 5 psi
3.86
3.88
3.90
3.92
7.14
3000 ft 3
s; 2000 ft 3
s; 2120 ft 3
s
2.82
1.22 ft; no change
CH 2
Q
2.84
54,600 lb
20.9 ft 3
0.630 ft; 4.48 ft
2.88
2.90
0.174 m 3
0.208 m 3
3.94
3.96
s
1
a
2
18.9 kPa;
1
b
2
6.51 m; 25.4 m; 6.51 m;
9.59 m
2.92
2.94
2.96
2.98
2.100
dz
dy
0.502
s 2
4.91 m
ft 2
Chapter 4
4.4
158 lb
1
2,2
2
10.5 rad
s
4.6
4.10
4.12
4.14
4.18
when x
y ; x
y
0
6.04 rad
s
xy
C
x
h
1
u 0
v 0
2
ln
3
1
1
y
h
24
Chapter 3
3.2
2 c 2 x 3 ; 2 c 2 y 3 ; x
ft 3 ;
y
0
1
a
2
194
1
1
x
2
62.4 lb
1
b
2
41.2 psi
s 2 ;
s 2 ;
s 2
8 m
2.0 m
0.08 m
3.4
30.0 kPa
m
939791407.008.png
ANS-3
Answers to Selected Even-Numbered Homework Problems
5.84
166
1
ft
lb
2
slug;
4.24
4.26
x
t 2 ; x
t 2
86%
0.3 e 0.5 t ;
5.86
778 ft
1
a
2
1
b
2
0.5 s;
1
c
2
0.25 s
5.88
1
a
2
56%;
1
b
2
11.7 lb
4.32
4.34
4.36
18.9 °C
s;
16.8 °C
s
5.90
5.92
5.96
0.042 m 3
s
0; 100 N
m 2
s
4.58
10 3 m 3
s
32.2 ft
s
2
1
a
2
392 kPa;
1
b
2
422 kPa
0, K
r 3
4.38
4.44
5.102
1
a
2
1.65 psi;
1
b
2
203
1
ft
lb
2
slug;
1
a
2
10 ft
s 2 , 20 ft
s 2 ;
1
b
2
20 ft
s 2 ;
1
c
2
22.4 ft
s 2
1
c
2
77.2 lb
5.106
1
a
2
4.29 m
s, 17.2°;
1
b
2
558
1
N
m
2
s
at
63.4°
from streamline
10 5 m
10 3 m
5.108
2.22 MW
4.46
4.48
4.50
4.52
4.60
3.13
s 2 ; 2.00
s 2
5.110
301 hp
25,600 ft
s 2 ;
25.0 ft
s 2
5.112
303°R
actual,
267°R
ideal, 88%
3.75 m 3
s
0 be bt
5.114
1
a
2
1.20 m 3
s;
1
b
2
0.928 m 3
s;
1
c
2
0.705 m 3
s
r 0 V
5.116
2.02 hp
3000 kg
s; 3.00 m 3
s
5.118
1
a
2
4.08 hp;
1
b
2
9.94 ft
5.120
31.3 hp
Chapter 5
5.2
5.122
5.124
14,500
1
ft
lb
2
s
1
a
2
45.8 ft
s;
1
b
2
20.4 ft
s
1
a
2
1.11;
1
b
2
1.08;
1
c
2
1.06;
1
d
2
1.05;
1
e
2
1.04;
5.4
5.6
314 m
s
1
f
2
1.03
19.5 ft
5.8
3.18 ft
Chapter 6
6.2
5.10
5.12
2.23 ft
s
a x
1
local
2
0; a x
1
conv
2
18
1
x 3
xy 2
2
;
0.064 m
a y
1
local
2
0; a y
1
conv
2
18
1
x 2 y
y 3
2
;
5.14
5.16
2.00 m 3
s
24 ˆ ;
288 ˆ
288 ˆ ;
V
V
24 ft
s; a
1
a
2
0.711;
1
b
2
0.791;
1
c
2
0.837;
1
d
2
0.866
a
407 ft
s 2
5.18
5.20
5.22
0.0114 slug
s
ˆ
ˆ
6.4
1
a
2
0;
1
b
2
v
1
y
2
z
2
1
5 z
2
2
1
7
8
2
U / d
ˆ ;
1
y
2
2
No
32.7 hr
6.6
No; None
1
except both equal to zero
2
5.24
1
a
2
15.6 gal
min;
1
b
2
62.4 gal
min
ˆ ;
ˆ ;
6.8
1
a
2
0;
1
b
2
v
1
U
2 b
2
1
c
2
z
1
U
b
2
5.30
352 lb to left
g #
1
d
2
U
b
5.32
F A , x
1890 lb
to left;
6.10
6.12
v
4 yz 2
6 y 2 z
F A , y
0; R x
1890 lb
1
a
2
x
y
0;
1
b
2
76.0°;
no stagnation points
to left;
R y
0
6.14
No
5.34
5.36
5.38
7.01 ft 3
s; 674 lb down
6.16
1
a
2
v r
V sin u, v u
V cos u;
1
b
2
c
3.94 ft 3
s
Vx
C , c
Vr cos u
C
9.27 N to left
6.18
1
a
2
Yes;
1
b
2
Only for
A
B ;
1
c
2
y 2
5.40
5.44
17.1 lb
ft
1
B
A
2
x 2
C
2.1%
6.20
1
a
2
v
2 y ;
1
b
2
1.41 ft
s
5.46
117 lb; 89.2 lb
6.22
1
b
2
1 m 3
s
1
per unit width
2
5.48
213 lb to left
6.26
1
a
2
p A
p 0 ;
1
b
2
p B
p 0
5.50
0.108 kg
6.28
6.30
6.32
c
5 x 2 y
1
5
3
2
y 3
C
5.52
1.82 kPa
f
A ln r
Br cos u
C ;
u
p, r
A
B
5.54
7.07 ft
s
at
45°
60.5 psi
5.56
0
6.34
1
a
2
Yes;
1
b
2
Yes,
f
2
1
x
y
2
C ;
1
c
2
0
5.58
motion to right
1
a
2
,
1
b
2
,
1
c
2
; motion to left
1
d
2
6.36
80.1 kPa
5.60
3.97 m
6.38
1
a
2
c
Kr 2
2
C ;
1
b
2
No
5.62
2.96 lb
0 r
6.40
1
a
2
0 p
1
1.60
10 3
2
r 3 kPa
m;
5.66
1
a
2
181 lb;
1
b
2
146 lb
1
b
2
184 kPa
5.68
1
a
2
2.96 ft
lb;
1
b
2
1.35 ft
lb;
1
c
2
920 rpm
6.42
Yes
5.74
1
a
2
43°;
1
b
2
53.4
1
ft
lb
2
s
6.44
6.46
6.48
C
0.500 m
5.76
1
b
2
3130
1
ft
lb
2
slug
≠
v ¢ u
1
b 2
a 2
2
5.80
9800
1
ft
lb
2
slug;
71%
0.0185
m
s
at
36.4°
from x -axis
5.82
84.2%
939791407.009.png
ANS-4
Answers to Selected Even-Numbered Homework Problems
0 u 0;
0 r r ≠ 2
7.40
187 mph
6.50
1
a
2
0 p
1
b
2
0 p
4p 2 r 3
10 9 m 2
7.42
7.44
4.62
s; no
6.52
6.54
6.60
7.50 m 2
s
10 4 m
1
a
2
400 km
hr;
170 N
8.49
s
1
b
2
7.46
1
a
2
p max
p 0 r U 2
2
1
at u
0 and p
2
;
50.2 kPa
1
abs
2
/ , Q 2
/ 5 g , r Q
/ m
2
7.48
1
2
no
a
V /
Q
f
1
/ i
2
;
p min
p 0
3r U 2
2
1
at u p
2
2
;
1
b
2
0.410 gpm; 2.46 in.
1
b
2
1
2 r
3 a
21
1
a 2
r 2
2
sin u
1
r V 2 D 2
7.50
1
a
2
d
f
1
d
D
2
;
1
b
2
31.11b
*6.62
6.66
y
a
10
11.6 ft 3
7.52
7.54
s; 0.500 psi
1
b
2
V wall
1
m
p
23
y
1
/
2
y 2
24
;
1
c
2
p wall
1
a
2
V m
U m
V
U , V m D m
v sm
VD
v s ,
p 0
1
r m 2
2p 2
23
y
1
/
2
y 2
24
2
V m 2
V 2
g m D m
g D ,
1
r
r s
2
r m
6.68
1
b
2
m
4p AL 2
m
0 u 4r U 2 sin u cos u; u
1
r
r s
2
r;
1
b
2
no
6.70
0 p s
falls in range
7.56
of
90°
100 to 450 mph; no
2 x 3 ˆ ;
0 y 2 x ;
0 x
7.58
6.72
1
a
2
0 v
1
b
2
a
1
c
2
0 p
0.0647 to 0.0971
0.440 ft; 2.80 ft 3
7.60
7.62
7.64
s
2m
2r x 3
10 5
10 4 m 2
1.31 m
s; 1.25
6.74
1
a
2
2.81
s;
1
b
2
40 N
m 2
1
acting in
0.129 psf
direction of flow
2
;
1
c
2
0.105 m
s
Chapter 8
8.4
6.76
6.78
6.80
6.82
q
1
r gh 3 sin a
2
3m
2.27 ft
q
2r gh 3
3m
8.6
laminar
u
31
U 1
U 2
2
b
4
y
U 2
ft 3 ;
ft 3 ;
8.8
1
a
2
7.40 lb
1
b
2
69.8 lb
1
c
2
55.0
y
b
1 ⁄ 3
ft 3
lb
6.84
6.90
0.355 N
m
ft 2 ; 0.238 lb
ft 2 ; 0
8.10
8.12
Downhill; 0.596 lb
1
a
2
m Re
640 6 2100;
1
b
2
180 kPa;
1
c
2
60.0
0.102 ft
N
8.16
8.18
8.20
8.22
0.00376 ft
lb
s
6.92
1
b
2
1.20 Pa
2.01 ft
s
6.94
6.98
v u
R 2 v
r
h
0.509 m
0.165 ft
18.5 m
8.24
0
Chapter 7
7.4
8.26
1
a
2
0.707 R;
1
b
2
0.750 R
1
a
2
1 03 m
s;
1
b
2
444 m
s
8.28
8.30
0.266 psi, 1.13 psi,
0.601 psi
/
7.6
7.8
7.10
7.12
7.14
v
2
/
g
f
1
h
2
0.0300
q
b 3
2
2
g
f
1
H
b , m
r b 3
2
2
g
2
10 4 ft
8.34
8.36
1.02
d
d 1 2 V 2 r f
1
d 2
d 1 , r Vd 1
m
2
25.1 psi
Q
A 5
4
2
g
f
1
2
A , S 0
2
8.38
8.44
0.211 psi
ft
f
1
a
2
VD
2
r
1
b
d , d
D
2
;
V
1
2
b
yes
2
2
b
pr dD 2
8.46
9.00
/ 1
7.16
7.18
d
r V 2
/ 1 2
f
1
V
c , / i
2
8.52
21.0
¢ p
1
D 2
1
for a given velocity
2
8.54
48.0 psi
m 2 ;
10 4
7.20
7.22
*7.24
v
CD
2
g
m
1
C
constant
2
; decrease
8.56
1
a
2
50.2 m, 602 N
1
b
2
9.09 m, 8.91
m 2 ;
10 5 N
m 2
h
D
f
1
s
g D 2
2
N
1
c
2
4.95 m, 6.58
¢ p
r V 2
1.10
1
A 1
A 2
2
2
1.07
1
A 1
A 2
2
8.58
0.188 m
0.0103; 6.26 lb
ft 2
8.60
0.285 m
7.26
1
a
2
correct;
1
b
2
t
1.36m
8.62
127 hp pump
*7.28
1
a
2
H
b
f
1
h
b , /
b
2
;
8.64
24.4 hp
1.00
1
b
2
H
b
0.0833
1
h
b
2
8.66
disagree
ft 2
7.30
7.32
7.34
Q
2
gH 5
f
1
b
H
2
8.68
8.70
8.72
8.74
0.899 lb
10 2 ft
6.52
s
22.5 ft
s; 17.0 ft
s
0.710 ft 3
129 m
s
s
10 3
7.36
7.38
s m
s
4.44
84.0 ft
1170 km
hr
8.76
0.750 psi
939791407.001.png 939791407.002.png 939791407.003.png 939791407.004.png
 
ANS-5
Answers to Selected Even-Numbered Homework Problems
9.86
65.9 hp
8.78
1
a
2
135 ft;
1
b
2
137 ft
9.88
22.5%
8.80
9
9.90
1.80 U
8.82
0.476 ft
9.96
19.1
8.84
78.1 psi
9.98
0.480, 0.409, 0.451, 0.482
8.86
16.5 ft
8.88
8.90
5.73 ft
s
Chapter 10
10.2
0.442 ft
1
a
2
supercritical;
1
b
2
supercritical;
8.92
379 kW
1
c
2
subcritical
8.94
0.491 ft
10.6
5.66 ft
*8.96
0.0445 m
10.8
10.10
10.14
3.60 m
s
*8.98
0.0746 cfs; 0.339 cfs
0.0180 m 3
8.30 ft
s
8.100
8.102
8.104
s
0.0284 m 3
s; 0.0143 m 3
s; 0.0141 m 3
4.14 ft or 1.42 ft
s
10.16
0.528 ft; 0.728 ft
24.9 psi
10.22
No
8.106
32.4 kPa
0.0221 m 3
10.24
2 ft, 3.51 ft; 2 ft, 1.38 ft
8.108
8.110
8.112
s
0.115 ft 3
10.28
3.44 m
s
ft 2
10.30
10.32
0.0468 lb
5.77 ft
ft 2 ;
0.0936 ft 3
1
a
2
1.80 lb
1
b
2
0.0469;
1
c
2
0.636
8.114
s
35.0 m 3
10.34
10.36
s
greater
Chapter 9
9.2
9.4
r U 2
10.38
7.42 min
0.06
1
2
2
; 2.40
10.40
0.000664
1.91
10.42
0.000269
9.6
Yes
10.44
Yes
9.10
4.70 mm; 14.8 mm; 47.0 mm
33.0 ft 3
10.48
10.50
s
0.00718 m
s; 0.00229 m
s
9.12
9.16
m 2 ; 0.0183 m; 0.0506
2.23 ft; 0.756
0.0130 m; 0.0716 N
m 2
10.52
Same
N
10.54
0.856 h
9.22
0.171 ft; 0.134 ft
1 ⁄ 2
244 yd 3
10.56
10.58
9.24
d
5.48
1
vx
U
2
1 ⁄ 2
0.861 m
9.26
d
x
5.03
Re x
10.60
10.7 m
9.28
2
18.2 m 3
10.64
10.70
s
9.30
9.34
2.83d; 0.354d
0.00757
0.0296 N
10.72
Decreases
9.36
9.40
0.0438 N
m
10 5
10.74
10.76
10.78
10.80
7.07
No
13.7 ft
s
9.42
9.44
9.46
1.06 m
s
0.00759 ft 3
s
16.8 ft
s
1
a
2
0.228 ft;
1
b
2
8.10, 0.223;
1
c
2
5.15 ft
2.82
10.82
1.51 m, 12,500 kW
9.48
9.50
7,080 N
m
10.84
0.0577; 0.000240
2,200 lb
10.86
10.88
10.90
4.36 ft
s
9.52
43.2%
5.85 ft 3
s
9.54
greater
53 deg
9.56
58.4 hp
0.470 m 3
10.92
10.94
s
9.62
counterclockwise
Yes
9.68
859 lb
3 ⁄ 2
5 ⁄ 2
10.96
Q
C W
1
2 g
31
2 bH
3
2
1
8 H
15
24
9.70
4.31 MN; 4.17 MN
9.72
1
a
2
0.91, 0.840;
1
b
2
rise
Chapter 11
11.6
11.8
9.78
53.5 kW; 4.46 kW
10 3 kW
1890 J
1
kg
K
2
9.80
9.84
2.47
351 K
0.0187 U
939791407.005.png

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