A force P = 500 kN is needed to just open the gate of Figure 2 with R = 2 m and H = 5 m. How wide is the gate? Water H Hinge Figure 2: Gate under a water reservoir.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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B. FLUID PROPERTIES
TABLE B.1 Properties of Water
Temperature
T
(°C)
0
5
10
15
20
30
40
50
60
70
80
90
100
Density
(kg/m³)
999.9
1000.0
999.7
999.1
998.2
995.7
992.2
988.1
983.2
977.8
971.8
965.3
958.4
Viscosity
f
(N-s/m³)
1.792 x 10-¹
1.519
1.308
1.140
1.005
0.801
0.656
0.549
0.469
0.406
0.357
0.317
0.284 x 10-³
Kinematic
viscosity
V
(m³/s)
1.792 x 10-6
1.519
1.308
1.141
1.007
0.804
0.661
0.556
0.477
0.415
0.367
0.328
0.296 x 10-6
Surface
tension
(N/m)
0.0762
0.0754
0.0748
0.0741
0.0736
0.0718
0.0701
0.0682
0.0668
0.0650
0.0630
0.0612
0.0594
Vapor
pressure
Pu
(kPa)
0.610
0.872
1.13
1.60
2.34
4.24
3.38
12.3
19.9
31.2
47.3
70.1
101.3
Bulk
modulus
B
(Pa)
204 x 107
206
211
214
220
223
227
230
228
225
221
216
207 x 107
Transcribed Image Text:B. FLUID PROPERTIES TABLE B.1 Properties of Water Temperature T (°C) 0 5 10 15 20 30 40 50 60 70 80 90 100 Density (kg/m³) 999.9 1000.0 999.7 999.1 998.2 995.7 992.2 988.1 983.2 977.8 971.8 965.3 958.4 Viscosity f (N-s/m³) 1.792 x 10-¹ 1.519 1.308 1.140 1.005 0.801 0.656 0.549 0.469 0.406 0.357 0.317 0.284 x 10-³ Kinematic viscosity V (m³/s) 1.792 x 10-6 1.519 1.308 1.141 1.007 0.804 0.661 0.556 0.477 0.415 0.367 0.328 0.296 x 10-6 Surface tension (N/m) 0.0762 0.0754 0.0748 0.0741 0.0736 0.0718 0.0701 0.0682 0.0668 0.0650 0.0630 0.0612 0.0594 Vapor pressure Pu (kPa) 0.610 0.872 1.13 1.60 2.34 4.24 3.38 12.3 19.9 31.2 47.3 70.1 101.3 Bulk modulus B (Pa) 204 x 107 206 211 214 220 223 227 230 228 225 221 216 207 x 107
A force P = 500 kN is needed to just open the gate of Figure 2 with R = 2 m and H = 5 m. How
wide is the gate?
Rectangle
Triangle
Circle
C. PROPERTIES OF AREAS AND VOLUMES
TABLE C.1 Areas
Semicircle
Ellipse
Semiellipse
Sketch
b
y↓
T b+d
b
101
푸스
음부
2a
2a
Figure 2: Gate under a water reservoir.
Water
2b
T
5+
Area
bh
bh/2
TD²14
TD²/8
H
mab
Hinge
mab/2
Centroid
y = h/2
y=h/3
y=r
ỹ = 4r/3m
y=b
ỹ=4b/3m
Second
moment
I = bh³/12
İxy = 0
I = bh³/36
Ixy = (b-2d)bh³/72
I = #D¹/64
1x = #D¹/128
¡=mab³/4
I₂ = mab³18
Transcribed Image Text:A force P = 500 kN is needed to just open the gate of Figure 2 with R = 2 m and H = 5 m. How wide is the gate? Rectangle Triangle Circle C. PROPERTIES OF AREAS AND VOLUMES TABLE C.1 Areas Semicircle Ellipse Semiellipse Sketch b y↓ T b+d b 101 푸스 음부 2a 2a Figure 2: Gate under a water reservoir. Water 2b T 5+ Area bh bh/2 TD²14 TD²/8 H mab Hinge mab/2 Centroid y = h/2 y=h/3 y=r ỹ = 4r/3m y=b ỹ=4b/3m Second moment I = bh³/12 İxy = 0 I = bh³/36 Ixy = (b-2d)bh³/72 I = #D¹/64 1x = #D¹/128 ¡=mab³/4 I₂ = mab³18
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