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Datos del experimento

SUPERFICIE PARCIALMENTE SUMERGIDA SIN INCLINACION

LECTURA Nº | ANGULO | W (gr) | h2 (mm) | h1 (mm) |
1 | 0 | 50 | 200 | 158 |
2 | 0 | 100 | 200 | 139 |
3 | 0 | 200 | 200 | 112 |
4 | 0 | 300 | 200 | 90 |

SUPERFICIE TOTALMENTE SUMERGIDA SIN INCLIACION

LECTURA Nº | ANGULO | W (gr) | h2 (mm) | h1 (mm) |
1 | 0 | 300 | 200 | 90 |
2 | 0 | 400 | 200 | 68 |3 | 0 | 500 | 200 | 46 |
4 | 0 | 700 | 200 | 00 |

FORMULARIO

PARA LA SUPERFICIE SIN INCLINACION
Cuando esta parcialmente sumergida
F = γ (H20) *hcg*A

hcg = ½ (h2 – h1)

A = (h2 - h1) * a

B = W*L / F

Ycp-exp = B – h1

Ycp-teor = (Icg / Ycg*A) + Ycg

% error = (Ycp-teor - Ycp-exp) / Ycp-teor * 100

Cuando esta totalmente sumergida

b constante = 100 mm
A constante= 75 mm * 100 mm = 7500 mm2
hcg = (h2 – h1) – b/2
H = (h2 – h1)
Ycg = H – 50 mm

F = γ (H20) *hcg*A
B = W*L / F

Área parcialmente sumergida

Cuando

W = 50 gr h1= 158mm h2 = 200mm

hcg = (1/2) (200 - 158) = 21 mm
A = (200 - 158) (75) = 3,150 mm2

F = (1000 kgf/m3) (21mm) (3,150mm2)
F = (1*10ˉ6 kgf/mm3) (21mm) (3,150mm2)
F = 0.06615 kgf
F = 66.15 gr

B = (50gr) (250mm)/(66.15gr) = 188.964 mm

Ycp-exp = 188.964 – 158 = 30.964mm

Ycp-teor = [(1/12) (75mm) (42mm)3 / (21mm) (75mm) (42mm)] + 21mm
Ycp-teor = 28mm

% error = [(28mm) – (30.964mm) / (28mm)] * 100
% error = - 10.586 %

Cuando

W = 100 gr h1= 139mm h2 = 200mm

hcg = (1/2) (200 - 139) = 30.5 mm
A = (200 - 139) (75) = 4,575 mm2

F = (1000 kgf/m3) (30.5mm) (4,575mm2)
F = (1*10ˉ6 kgf/mm3)(30.5mm) (4,575mm2)
F = 0.1395 kgf
F = 139.538 gr

B = (100gr) (250mm)/ (139.538 gr) = 179.163 mm

Ycp-exp = 179.163 – 139 = 40.163mm

Ycp-teor = [(1/12) (75mm) (61mm)3 / (30.5mm) (75mm) (61mm)] + 30.5mm
Ycp-teor = 40.667mm

% error = [(40.667mm) – (40.163mm) / (40.667mm)] * 100
% error = 1.239 %

Cuando

W = 200 gr h1= 112mm h2 = 200mm

hcg = (1/2) (200 – 112) = 44 mm
A =(200 – 112) (75) = 6,600 mm2

F = (1000 kgf/m3) (44mm) (6,600mm2)
F = (1*10ˉ6 kgf/mm3) (44mm) (6,600mm2)
F = 0.2904 kgf
F = 1290.4 gr

B = (200gr) (250mm)/ (290.4 gr) = 172.176 mm

Ycp-exp = 172.176 – 112 = 60.176mm

Ycp-teor = [(1/12) (75mm) (88mm)3 / (44mm) (75mm) (88mm)] + 44mm
Ycp-teor = 58.667mm

% error = [(58.667mm) – (60.176mm) / (58.667mm)] * 100
% error = - 2.572 %

Áreatotalmente sumergida

Cuando

W = 300gr h2 = 200 mm h1 = 90 mm

b = 100mm
hcg = (200mm – 90mm) – (100mm/2) = 60 mm
A = 7500 mm2

F = (1*10ˉ6 kgf*/mm3) (60mm) (7500mm2)
F = 0.45 kgf
F = 450 gr

B = (300gr) (250mm)/ (450 gr) = 166.667 mm
Ycp-exp = 166.667 – 90 = 76.667mm

Ycp-teor = [(1/12) (75mm) (100mm)3 / (60mm) (75mm) (100mm)] + 60mm
Ycp-teor = 73.888mm

% error =[(73.889mm) – (76.667mm) / (73.889mm)] * 100
% error = - 3.760 %

Cuando

W = 400gr h2 = 200 mm h1 = 68 mm

b = 100mm
hcg = (200mm – 68mm) – (100mm/2) = 82 mm
A = 7500 mm2

F = (1*10ˉ6 kgf*/mm3) (82mm) (7500mm2)
F = 0.615 kgf
F = 615 gr

B = (400gr) (250mm)/ (615 gr) = 162.60 mm
Ycp-exp = 166.60 – 68 = 94.602mm

Ycp-teor = [(1/12) (75mm) (100mm)3 / (82mm) (75mm) (100mm)] + 82mmYcp-teor = 92.163mm

% error = [(92.163mm) – (94.602mm) / (92.163mm)] * 100
% error = - 2.646 %

Cuando

W = 500gr h2 = 200 mm h1 = 46 mm

b = 100mm
hcg = (200mm – 46mm) – (100mm/2) = 104 mm
A = 7500 mm2

F = (1*10ˉ6 kgf*/mm3) (104mm) (7500mm2)
F = 0.78 kgf
F = 780 gr

B = (500gr) (250mm)/ (780 gr) = 160.256 mm
Ycp-exp = 160.256 – 46 = 114.256mm

Ycp-teor = [(1/12) (75mm)(100mm)3 / (104mm) (75mm) (100mm)] + 104mm
Ycp-teor = 112.013mm

% error = [(112.013mm) – (114.256mm) / (112.013mm)] * 100
% error = - 2.002 %

Cuando

W = 700gr h2 = 200 mm h1 = 00 mm

b = 100mm
hcg = (200mm –00mm) – (100mm/2) = 150 mm
A = 7500 mm2

F = (1*10ˉ6 kgf*/mm3) (150mm) (7500mm2)
F = 1.125 kgf
F = 1125 gr

B = (700gr) (250mm)/ (1125 gr) = 155.556 mm
Ycp-exp =...
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