mínimos cuadrados
TRANSCRIPT
PÉNDULO SIMPLE (m=CTE)
TABLA 6
X longitud Y X.Y
N L(cm)
1 0.58766667 0.591 0.581 0.591 10 3.16227766 1.858365172 0.34535211 10 -0.055050617 0.00303057
2 0.672 0.660 0.684 0.672 14 3.74165739 2.514393764 0.451584 14 0.04175265 0.001743284
3 0.77833333 0.775 0.782 0.778 19 4.35889894 3.392676344 0.60580278 19 0.050528235 0.002553103
4 0.92166667 0.925 0.919 0.921 26 5.09901951 4.699596318 0.84946944 26 -0.029540436 0.000872637
5 1.01533333 1.012 1.019 1.015 32 5.65685425 5.743592681 1.03090178 32 -0.007689832 5.91335E-05
3.975 22.0187078 18.20862428 3.28311011 101 0.008258728
a 5.722251 5.722250516 -0.1454476
b -0.145448 0.149613118 0.12123483
r 0.998976 0.99795338 0.05246817
0.149613 1462.831785 3
0.121235
0.795 4.403741551
PERIODO (T) 𝑇(s) 𝐿 𝑐𝑚1/2 𝐿2 𝑇2 𝐿𝑖 − 𝐿𝑖
´ 2𝑥2 𝑌2 𝑌𝑖 − 𝑎𝑋𝑖 − 𝑏 𝒀𝒊 − 𝒀𝒊
´ 𝟐
𝜎𝑎𝜎𝑏
raíz cuadrada 𝐿
. . .
(𝑌𝑖 − 𝑌𝑖´)
𝑇 × 𝐿 𝐿𝑖 − 𝑎 𝑇𝑖 − 𝑏
y = 5.7223x - 0.1454R² = 0.998
0
1
2
3
4
5
6
0 0.2 0.4 0.6 0.8 1 1.2
.
.
GRÁFICA 6 (RECTA)
𝑇(s)
𝐿𝑐𝑚1/2
0
5
10
15
20
25
30
35
0 0.2 0.4 0.6 0.8 1 1.2
L(cm
)
.
GRÁFICA 6 (CURVA)Semi - parábola
𝑇(𝑠)
𝑋 = 𝑥
𝑛= 𝑌 =
𝑦
𝑛=