Informe 2 De Fisica 1

APLICACIONES
* DE LA TABLA 2:

GRAFIQUE EN UNA HOJA DE PAPEL LOGARÍTMICO t vs. D PARA CADA ALTURA.

* PARA: h=30

LgX | LgY | LgXLgY | (LgX)² |
0.1760 | 1.8633 | 0.3279 | 0.0309 |
0.3010 | 1.6148 | 0.4860 | 0.0906 |
0.4771 | 1.2648 | 0.6034 | 0.2276 |
0.6989 | 0.8325 | 0.5818 | 0.4884 |
0.8450 | 0.5051 | 0.4268 | 0.7140 |
∑LgX=2.4980 | ∑LgY=6.0805 | ∑LgXLgY=2.4259 |∑(LgX)²=1.5515 |

m = 52.4259- 2.4980(6.0805)51.5515- (2.4980)² = -2.0161

b = 1.55156.0805- 2.4980(2.4259)51.5515- (2.4980)² = 2.2233

ECUACIÓN DE LA TABLA: Y = 102.2233X-2.0161

* PARA: h=20

LgX | LgY | LgXLgY | (LgX)² |
0.1760 | 1.7774 | 0.3128 | 0.0309 |
0.3010 | 1.5276 | 0.4598 | 0.0906 |
0.4771 | 1.1731 | 0.5596 | 0.2276 |
0.6989 | 0.7242 | 0.5061 | 0.4884 |
0.8450| 0.4313 | 0.3644 | 0.7140 |
∑LgX=2.4980 | ∑LgY=5.6336 | ∑LgXLgY=2.2027 | ∑(LgX)²=1.5515 |

m = 52.2027- 2.4980(5.6336)51.5515- (2.4980)² = -2.0159

b = 1.55155.6336- 2.4980(2.2027)51.5515- (2.4980)² = 2.1339

ECUACIÓN DE LA TABLA: Y = 102.1339X-2.0159

* PARA: h=10

LgX | LgY | LgXLgY | (LgX)² |
0.1760 | 1.6334 | 0.2874 | 0.0309 |
0.3010 | 1.3747 | 0.4137 | 0.0906 |0.4771 | 1.0211 | 0.4871 | 0.2276 |
0.6989 | 0.5910 | 0.4130 | 0.4884 |
0.8450 | 0.3010 | 0.2543 | 0.7140 |
∑LgX=2.4980 | ∑LgY=4.9212 | ∑LgXLgY=1.8555 | ∑(LgX)²=1.5515 |

m = 51.8555- 2.4980(4.9212)51.5515- (2.4980)² = -1.9872

b = 1.55154.9212- 2.4980(1.8555)51.5515- (2.4980)² = 1.9770

ECUACIÓN DE LA TABLA: Y = 101.9770X-1.9872

* PARA: h=4

LgX | LgY | LgXLgY | (LgX)² |0.1760 | 1.4265 | 0.2510 | 0.0309 |
0.3010 | 1.1760 | 0.3559 | 0.0906 |
0.4771 | 0.8325 | 0.3971 | 0.2276 |
0.6989 | 0.4149 | 0.2899 | 0.4884 |
0.8450 | 0.1139 | 0.0962 | 0.7140 |
∑LgX=2.4980 | ∑LgY=3.9638 | ∑LgXLgY=1.3881 | ∑(LgX)²=1.5515 |

m = 51.3881- 2.4980(3.9638)51.5515- (2.4980)² = -1.9512

b = 1.55153.9638- 2.4980(1.3881)51.5515- (2.4980)² = 1.7676

ECUACIÓN DE LA TABLA:Y = 101.7676X-1.9512

* PARA: h=1

LgX | LgY | LgXLgY | (LgX)² |
0.1760 | 1.1303 | 0.1989 | 0.0309 |
0.3010 | 0.8920 | 0.2684 | 0.0906 |
0.4771 | 0.5682 | 0.2710 | 0.2276 |
0.6989 | 0.1760 | 0.1230 | 0.4884 |
0.8450 | -0.0969 | -0.0818 | 0.7140 |
∑LgX=2.4980 | ∑LgY=2.6696 | ∑LgXLgY=0.7795 | ∑(LgX)²=1.5515 |

m = 50.7795- 2.4980(2.6696)51.5515- (2.4980)² = -1.8260

b =1.55152.6696- 2.4980(0.7795)51.5515- (2.4980)² = 1.4462

ECUACIÓN DE LA TABLA: Y = 101.4462X-1.8260

GRAFIQUE EN UNA HOJA DE PAPEL LOGARÍTMICO t vs. h PARA CADA DIÁMETRO.

* PARA: D=1.5

LgX | LgY | LgXLgY | (LgX)² |
1.4771 | 1.8633 | 2.7522 | 2.1818 |
1.3010 | 1.7774 | 2.3123 | 1.6926 |
1 | 1.6334 | 1.6334 | 1 |
0.6020 | 1.4265 | 0.8587 | 0.3624 |
0 | 1.1303 | 0 | 0 |∑LgX=4.3801 | ∑LgY=7.8309 | ∑LgXLgY=7.5566 | ∑(LgX)²=5.2368 |
m = 57.5566- 4.3801(7.8309)55.2368- (4.3801)² = 0.4976

b = 5.23687.8309- 4.3801(7.5566)55.2368- (4.3801)² = 1.1302

ECUACIÓN DE LA TABLA: Y = 101.1302X0.4976

* PARA: D=2

LgX | LgY | LgXLgY | (LgX)² |
1.4771 | 1.6148 | 2.3852 | 2.1818 |
1.3010 | 1.5276 | 1.9874 | 1.6926 |
1 | 1.3747 | 1.3747 | 1 |
0.6020 |1.1760 | 0.7079 | 0.3624 |
0 | 0.8920 | 0 | 0 |
∑LgX=4.3801 | ∑LgY=6.5851 | ∑LgXLgY=6.4552 | ∑(LgX)²=5.2368 |

m = 56.4552- 4.3801(6.5851)55.2368- (4.3801)² = 0.4904

b = 5.23686.5851- 4.3801(6.4552)55.2368- (4.3801)² = 0.8873

ECUACIÓN DE LA TABLA: Y = 100.8873X0.4904

* PARA: D=3

LgX | LgY | LgXLgY | (LgX)² |
1.4771 | 1.2648 | 1.8682 | 2.1818 |
1.3010 | 1.1731 | 1.5262| 1.6926 |
1 | 1.0211 | 1.0211 | 1 |
0.6020 | 0.8325 | 0.5011 | 0.3624 |
0 | 0.5682 | 0 | 0 |
∑LgX=4.3801 | ∑LgY=4.8597 | ∑LgXLgY=4.9166 | ∑(LgX)²=5.2368 |

m = 54.9166- 4.3801(4.8597)55.2368- (4.3801)² = 0.4710

b = 5.23684.8597- 4.3801(4.9166)55.2368- (4.3801)² = 0.5592

ECUACIÓN DE LA TABLA: Y = 100.5592X0.4710

* PARA: D=5

LgX | LgY | LgXLgY | (LgX)² |
1.4771...