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PÉNDULO (m=CTE) n=5 TABLA 4 X longitud Y X.Y N L (cm) 1 3.16227766 10 0.587666667 0.591 0.581 0.591 1.858365172 10 0.345352111 0.009176427 8.42068E-05 2 3.741657387 14 0.672 0.660 0.684 0.672 2.514393764 14 0.451584 -0.007533344 5.67513E-05 3 4.358898944 19 0.778333333 0.775 0.782 0.778 3.392676344 19 0.605802778 -0.008846172 7.82548E-05 4 5.099019514 26 0.921666667 0.925 0.919 0.921 4.699596318 26 0.849469444 0.005411054 2.92795E-05 5 5.656854249 32 1.015333333 1.012 1.019 1.015 5.743592681 32 1.030901778 0.001792036 3.21139E-06 22.01870775 3.975 18.20862428 101 3.283110111 0.000251704 a 0.174398758 0.174398758 0.026992945 b 0.026992945 0.004559804 0.020493771 r 0.998976166 0.99795338 0.009159762 0.004559804 1462.831785 3 0.020493771 4.403741551 0.795 PERIODO (T) (s) 0 0.2 0.4 0.6 0.8 1 1.2 0 5 10 15 20 25 30 35 . L(cm) GRÁFICA 4 (CURVA) 1/2 y = 0.1744x + 0.027 R² = 0.998 0 0.2 0.4 0.6 0.8 1 1.2 0 1 2 3 4 5 6 . . GRÁFICA 4 (RECTA) × 2 2 ´ 2 2 2 ´ raíz cuadrada 1/2 . . . . ( ´ ) = = = =

MÍNIMOS CUADRADOS

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Page 1: MÍNIMOS CUADRADOS

PÉNDULO (m=CTE) n=5TABLA 4

X longitud Y X.Y

N L (cm)

1 3.16227766 10 0.587666667 0.591 0.581 0.591 1.858365172 10 0.345352111 0.009176427 8.42068E-05

2 3.741657387 14 0.672 0.660 0.684 0.672 2.514393764 14 0.451584 -0.007533344 5.67513E-05

3 4.358898944 19 0.778333333 0.775 0.782 0.778 3.392676344 19 0.605802778 -0.008846172 7.82548E-05

4 5.099019514 26 0.921666667 0.925 0.919 0.921 4.699596318 26 0.849469444 0.005411054 2.92795E-05

5 5.656854249 32 1.015333333 1.012 1.019 1.015 5.743592681 32 1.030901778 0.001792036 3.21139E-06

22.01870775 3.975 18.20862428 101 3.283110111 0.000251704

a 0.174398758 0.174398758 0.026992945

b 0.026992945 0.004559804 0.020493771

r 0.998976166 0.99795338 0.009159762

0.004559804 1462.831785 3

0.020493771

4.403741551

0.795

PERIODO (T) 𝑇(s)

0

0.2

0.4

0.6

0.8

1

1.2

0 5 10 15 20 25 30 35

.

L(cm)

GRÁFICA 4 (CURVA)

𝑇

𝐿 𝑐𝑚1/2

y = 0.1744x + 0.027R² = 0.998

0

0.2

0.4

0.6

0.8

1

1.2

0 1 2 3 4 5 6

.

.

GRÁFICA 4 (RECTA)

𝐿 × 𝑇 𝐿2 𝑇2 𝑇𝑖 − 𝑎 𝐿𝑖 − 𝑏 𝑇𝑖 − 𝑇𝑖

´ 2𝑥2 𝑌2 𝑌𝑖 − 𝑎𝑋𝑖 − 𝑏 𝒀𝒊 − 𝒀𝒊

´ 𝟐

𝜎𝑎𝜎𝑏

raíz cuadrada 𝐿

𝐿 𝑐𝑚1/2

𝑇

. . . .

(𝑌𝑖 − 𝑌𝑖´)

𝑋 = 𝑥

𝑛=

𝑌 = 𝑦

𝑛=