MECANICA DE FLUIDO.

...

- Pasamos a hallar yf teórico con la siguiente ecuación .[pic 8]

- Para hallar el área utilizaremos esta ecuación para parcial mente sumergido A= (b) (100-d) y para totalmente sumergido será A= (b) (d).

- Para hallar el momento utilizaremos la siguiente ecuación

Ixx = bh3/12.

- Ixx = = 1.03x10-6 → parcialmente sumergido.[pic 9]

A = (0.075) (0.1 – 0.045) = 4.125x10-3

- Ixx = = 3.07x10-8 → parcialmente sumergido.[pic 10]

A = (0.075) (0.1 – 0.083) = 1.275x10-3

- Ixx = = 1.50x10-5 → totalmente sumergido.[pic 11]

A = (0.075) (0.1) = 7.5x10-3

- Ixx = = 2.19x10-5 → totalmente sumergido.[pic 12]

A = (0.075) (0.1) = 7.5x10-3

Pasamos hallar yf (t)

- .[pic 13]

- = + 0.0225 = 0.033 m → parcialmente sumergido.[pic 14][pic 15]

- = + 0.0415 = 0.042 m → parcialmente sumergido.[pic 16][pic 17]

- = + 0.084 = 0.107 m → totalmente sumergido.[pic 18][pic 19]

- = + 0.102 = 0.130 m → totalmente sumergido.[pic 20][pic 21]

Pasamos hallar yf (exp)

- [pic 22]

- = - (0.2 – 0.045) = -6.85X10-3 P. Sumergida.[pic 23][pic 24]

- = - (0.2 – 0.083) = 0.662 P. Sumergida.[pic 25][pic 26]

- = - (0.2 – 0.134) = 0.087 T. Sumergida.[pic 27][pic 28]

- = - (0.2 – 0.152) = 0.102 T. Sumergida.[pic 29][pic 30]

Pasamos hallar MR

- MR = F x yf (t)

- MR = (9810 N/m3) (0.0225) (0.004125) x (0.033) = 0.030 Nm

- MR = (9810 N/m3) (0.0415) (0.001275) x (0.042) = 0.021 Nm

- MR = (9810 N/m3) (0.084) (0.0075) x (0.107) = 0.661 Nm

- MR = (9810 N/m3) (0.102) (0.0075) x (0.130) = 0.975 Nm

Pasamos hallar MT

- MT = F x yf (exp)

- MT = (9810 N/m3) (0.0225) (0.004125) x (-6.85x10-3) = -6.23x10-3 Nm

- MT = (9810 N/m3) (0.0415) (0.001275) x (0.662) = 0.343 Nm

- MT = (9810 N/m3) (0.084) (0.0075) x (0.087) = 0.537 Nm

- MT = (9810 N/m3) (0.102) (0.0075) x (0.102) = 0.765 Nm

Pasamos hallar el error %

- Error = x 100%[pic 31]

- Error = x 100% = 1.2 %[pic 32]

- Error = x 100% = 14.7 %[pic 33]

- Error = x 100% = 1.8 %[pic 34]

- Error = x 100% = 2.1%[pic 35]

- Tabla de resultados obtenidos, cálculos.

lectura #

w(Kg)

d(m)

Ycg (m)

Ixx (m^4)

A (m^2)

Yf(t) (m)

Yf (exp)

Error

1

0.05

0.045

0.0225

1.03x10-6

4.125x10-3

0.033

-6.85x10-3

1.2 %

P. SUMERGDO

2

0.15

0.083

0.0415

3.07x10-8

1.275x10-3

0.042

0.662

14.7 %

P. SUMERGDO

3

0.35

0.134

0.084

1.50x10-5

7.5x10-3

0.107

0.087

1.8 %

T. SUMERGIDO

4

0.42

0.152

0.102

2.19x10-5

7.5x10-3

0.130

0.102

2.1 %

T. SUMERGIDO

BIBLIOGRAFIAS.

[1] Robert L. Montt. Mecánica de Fluidos.

[2] SHAMES, Irving H. Mecánica de fluidos, 3a Ed. Santafé de Bogotá. McGraw

Hill, 1998. 825 p

[3] STREETER, Victor L. /Wylie E. Benjamin/Bedford, Keith W. Mecanica de

Fluidos, 9a Ed. Santafé de Bogota. McGraw Hill, 1999