diff --git "a/Proyecto de estimaci\303\263n del rozamiento de la ca\303\255da de una servilleta./Medidas_y_comparaciones_del_proyecto_de_estimacion_del_rozamiento__1_.ipynb" "b/Proyecto de estimaci\303\263n del rozamiento de la ca\303\255da de una servilleta./Medidas_y_comparaciones_del_proyecto_de_estimacion_del_rozamiento__1_.ipynb" new file mode 100644 index 0000000000000000000000000000000000000000..e6e6f16f895cac5a8788d46d1cd3b5c74bf65fd4 --- /dev/null +++ "b/Proyecto de estimaci\303\263n del rozamiento de la ca\303\255da de una servilleta./Medidas_y_comparaciones_del_proyecto_de_estimacion_del_rozamiento__1_.ipynb" @@ -0,0 +1,925 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Medidas y comparaciones del proyecto de estimación del rozamiento" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Proyecto realizado por: Jiménez Quintero Deivid (2231341) y Robles Alvaro Steven (2231814)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + " ### Importar los paquetes de datos" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + " ### Importar los datos .txt" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "co1 = np.genfromtxt('co1.txt')\n", + "co2 = np.genfromtxt('co2.txt')\n", + "co3 = np.genfromtxt('co3.txt')\n", + "co4 = np.genfromtxt('co4.txt')\n", + "co5 = np.genfromtxt('co5.txt')\n", + "co6 = np.genfromtxt('co6.txt')\n", + "ex1 = np.genfromtxt('ex1.txt')\n", + "ex2 = np.genfromtxt('ex2.txt')\n", + "ex3 = np.genfromtxt('ex3.txt')\n", + "ex4 = np.genfromtxt('ex4.txt')\n", + "ex5 = np.genfromtxt('ex5.txt')\n", + "ex6 = np.genfromtxt('ex6.txt')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + " ### Seleccionar columnas de cada archivo importado." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "tco1 = co1[:,0]\n", + "yco1 = co1[:,1]\n", + "\n", + "tco2 = co2[:,0]\n", + "yco2 = co2[:,1]\n", + "\n", + "tco3 = co3[:,0]\n", + "yco3 = co3[:,1]\n", + "\n", + "tco4 = co4[:,0]\n", + "yco4 = co4[:,1]\n", + "\n", + "tco5 = co5[:,0]\n", + "yco5 = co5[:,1]\n", + "\n", + "tco6 = co6[:,0]\n", + "yco6 = co6[:,1]" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "tex1 = ex1[:,0]\n", + "yex1 = ex1[:,1]\n", + "\n", + "tex2 = ex2[:,0]\n", + "yex2 = ex2[:,1]\n", + "\n", + "tex3 = ex3[:,0]\n", + "yex3 = ex3[:,1]\n", + "\n", + "tex4 = ex4[:,0]\n", + "yex4 = ex4[:,1]\n", + "\n", + "tex5 = ex5[:,0]\n", + "yex5 = ex5[:,1]\n", + "\n", + "tex6 = ex6[:,0]\n", + "yex6 = ex6[:,1]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + " ### Unir los tiempos en un conjunto y la altura de la comprimida en otro." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "tco = np.array([tco1, tco2, tco3, tco4, tco5, tco6])" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "yco = np.array([yco1, yco2, yco3, yco4, yco5, yco6])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + " ### Graficar la caida promedio y graficar promedio con la desviación estandar de la servilleta comprimida." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "# Prmedio de tco\n", + "tco_prom = tco.mean(axis=0)\n", + "\n", + "# Prmedio de yco\n", + "yco_prom = yco.mean(axis=0)\n", + "\n", + "# Desviación estándar de tco\n", + "tco_std = tco.std(axis=0)\n", + "\n", + "# Desviación estándar de yco\n", + "yco_std = yco.std(axis=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Gráfica de la servilleta comprimida sin desviación estándar\n", + "plt.figure()\n", + "plt.plot(tco_prom, yco_prom, 'm.-', label = 'Servilleta comprimida sin desviación estándar')\n", + "plt.legend()\n", + "plt.xlabel('t(s)')\n", + "plt.ylabel('h(m)')\n", + "plt.title('Caida experimental sin desviación estándar de la servilleta comprimida', fontweight='bold')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Gráfica de la servilleta comprimida con desviación estándar\n", + "plt.figure()\n", + "plt.errorbar(tco_prom, yco_prom, tco_std, yco_std, fmt = 'm.-', label = 'Servilleta comprimida con desviación estándar')\n", + "plt.legend()\n", + "plt.title('Caida experimental con desviación estándar de la servilleta comprimida', fontweight='bold')\n", + "plt.xlabel('t(s)')\n", + "plt.ylabel('h(m)')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + " ### Unir los tiempos en un conjunto y la altura de la extendida en otro." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "tex = np.array([tex1, tex2, tex3, tex4, tex5, tex6])" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "yex = np.array([yex1, yex2, yex3, yex4, yex5, yex6])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + " ### Graficar la caida promedio y graficar promedio con la desviación estandar de la servilleta extendida." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "# Prmedio de tex\n", + "tex_prom = tex.mean(axis=0)\n", + "\n", + "# Promedio de yex\n", + "yex_prom = yex.mean(axis=0)\n", + "\n", + "# Desviación estándar de tex\n", + "tex_std = tex.std(axis=0)\n", + "\n", + "# Desviación estándar de yex\n", + "yex_std = yex.std(axis=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Gráfica de la servilleta extendida sin desviación estándar\n", + "plt.figure()\n", + "plt.plot(tex_prom, yex_prom, 'm.-', label = 'Servilleta extendida sin desviación estándar')\n", + "plt.legend()\n", + "plt.title('Caida experimental sin desviación estándar de la servilleta extendida', fontweight='bold')\n", + "plt.xlabel('t(s)')\n", + "plt.ylabel('h(m)')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Gráfica de la servilleta extendida con desviación estándar\n", + "plt.figure()\n", + "plt.errorbar(tex_prom, yex_prom, tex_std, yex_std, fmt = 'm.-', label = 'Servilleta extendida con desviación estándar')\n", + "plt.legend()\n", + "plt.title('Caida experimental con desviación estándar de la servilleta extendida', fontweight='bold')\n", + "plt.xlabel('t(s)')\n", + "plt.ylabel('h(m)')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + " ### Determinar el valor de la gravedad con la servilleta comprimida." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "# Gravedad en co1\n", + "gco1 = -(2*yco1[13] / tco1[13]**2)\n", + "\n", + "# Gravedad en co2\n", + "gco2 = -(2*yco2[13] / tco2[13]**2)\n", + "\n", + "# Gravedad en co3\n", + "gco3 = -(2*yco3[13] / tco3[13]**2)\n", + "\n", + "# Gravedad en co4\n", + "gco4 = -(2*yco4[13] / tco4[13]**2)\n", + "\n", + "# Gravedad en co5\n", + "gco5 = -(2*yco5[13] / tco5[13]**2)\n", + "\n", + "# Gravedad en co6\n", + "gco6 = -(2*yco6[13] / tco6[13]**2)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Unir las gravedades en un mismo conjunto." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "gco = np.array([gco1, gco2, gco3, gco4, gco5, gco6])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Calcular el promedio y la desviación estándar de las gravedades." + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Resultando con la gravedad con valor de: 9.288289425693685 m/s^2 y con una desviacón estándar de: 0.10440321835005584 .\n" + ] + } + ], + "source": [ + "# Promedio de las gravedades\n", + "gco_prom = np.mean(gco)\n", + "\n", + "# Desviación estándar de la gravedad\n", + "gco_std = np.std(gco)\n", + "\n", + "print(\"Resultando con la gravedad con valor de:\", gco_prom, \"m/s^2 y con una desviacón estándar de:\", gco_std,\".\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Calcular las distancias y gravedades teóricas y experimentales para la servilleta comprimida." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Asà quedando como gravedad teórica: 9.800000000000017 m/s^2 y como gravedad experimental: 9.288289425693698 m/s^2.\n" + ] + } + ], + "source": [ + "g = 9.8 # m/s^2 gravedad estándar\n", + "vi = 0 # Velocidad inicial\n", + "\n", + "# Distancia teórica y experimental\n", + "y_teo = vi*tco_prom+((-g)*(tco_prom**2))/2\n", + "y_exp = vi*tco_prom+((-gco_prom)*(tco_prom**2))/2\n", + "\n", + "# datos lineales\n", + "y_teo_lin = np.log(np.abs(y_teo[1:]))\n", + "y_exp_lin = np.log(np.abs(y_exp[1:]))\n", + "t_exp_lin = np.log(np.abs(tco_prom[1:]))\n", + "\n", + "# Ajuste de regreción\n", + "t_ajuste = np.polyfit(t_exp_lin, y_teo_lin, 1)\n", + "texp_ajuste = np.polyfit(t_exp_lin, y_exp_lin, 1)\n", + "t_gravedad = 2*np.exp(t_ajuste[1])\n", + "texp_gravedad = 2*np.exp(texp_ajuste[1])\n", + "\n", + "print(\"Asà quedando como gravedad teórica:\", t_gravedad, \"m/s^2 y como gravedad experimental:\", texp_gravedad, \"m/s^2.\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Comparar graficamente los ajustes teóricos y experimentales de la servilleta comprimida." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure()\n", + "plt.plot(tco_prom, yco_prom, \"m--\", label = \"Datos experimentales\")\n", + "plt.plot(tco_prom, y_exp, \"r--\", label = \"Datos teóricos con g=9,2 m/s^2\")\n", + "plt.plot(tco_prom, y_teo, \"g--\", label = \"Datos con g=9.8 m/s^2\")\n", + "plt.xlabel('T (s)')\n", + "plt.ylabel('H (m)')\n", + "plt.legend()\n", + "plt.title('Comparación de la caida experimental y teórica de la servilleta comprimida', fontweight='bold')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Datos teóricos y experimentales de la servilleta extendida." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "v0 = 0\n", + "t0 = 0\n", + "dt = 0.033\n", + "t1 = tex_prom[len(tex_prom)-1]\n", + "t_teo = np.arange(t0, t1, dt)\n", + "v_teo = [v0]\n", + "y_fteo = [0]\n", + "v_teoexp = [v0]\n", + "y_fteoexp = [0]\n", + "b_teo = 0.92 # Estimamos el rozamiento de la caÃda a prueba y error comparando con nuestras gráficas anteriores.\n", + "b_teoexp = 0.97 # Estimamos el rozamiento de la caÃda a prueba y error comparando con nuestras gráficas anteriores.\n", + "\n", + "# Establecemos la aceleración para con esta determinar la distancia y velocidad con la gravedad estándar (9.8) y con la gravedad experimental(9.2)\n", + "for i in range (len(t_teo)):\n", + " aceleracion_teo = -g + b_teo*v_teo[i]\n", + " velocidad_intervalo_teo = v_teo[i]+aceleracion_teo*dt\n", + " distancia_intervalo_teo = v_teo[i]*dt + aceleracion_teo*((dt**2)/2)\n", + " y_fteo.append(distancia_intervalo_teo)\n", + " v_teo.append(velocidad_intervalo_teo)\n", + " \n", + "for i in range (len(t_teo)):\n", + " aceleracion_teoexp = -gco_prom + b_teoexp*v_teoexp[i]\n", + " velocidad_intervalo_teoexp = v_teoexp[i]+aceleracion_teoexp*dt\n", + " distancia_intervalo_teoexp = v_teoexp[i]*dt + aceleracion_teoexp*((dt**2)/2)\n", + " y_fteoexp.append(distancia_intervalo_teoexp)\n", + " v_teoexp.append(velocidad_intervalo_teoexp)\n", + " \n", + "distancia_final_teo = y_fteo[:-1]\n", + "distancia_final_teoexp = y_fteoexp[:-1]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Comparar graficamente los ajustes teóricos y experimentales de la servilleta extendida." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure()\n", + "plt.plot(t_teo, distancia_final_teo,\"b--\", label = \"Datos teóricos con g=9,2 m/s^2\")\n", + "plt.plot(t_teo, distancia_final_teoexp, \"g--\", label = \"Datos teórico-experiemtales con g=9.8 m/s^2\")\n", + "plt.plot(tex_prom, yex_prom, \"r--\", label = \"Datos experimentales\")\n", + "plt.xlabel('T (s)')\n", + "plt.ylabel('H (m)')\n", + "plt.legend()\n", + "plt.title('Comparación de la caida experimental y teórica de la servilleta extendida', fontweight='bold')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Determinar los valores a usar en los instantes de la servilleta extendida" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "gco_p = gco_prom\n", + "B = b_teo\n", + "dt = dt\n", + "t0 = 0\n", + "v0 = 0\n", + "y0 = 0" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Instantes de la servilleta extendida." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "# Instante 1 \n", + "v1 = gco_p*dt\n", + "y1 = gco_p*dt**2/2 + v0*dt + y0\n", + "\n", + "# Instante 2\n", + "a1 = gco_p - B*v1\n", + "v2 = v1 + a1*dt\n", + "y2 = gco_p*dt**2/2 + v1*dt + y1\n", + "\n", + "# Instante 3\n", + "a2 = gco_p - B*v2\n", + "v3 = v2 + a2*dt\n", + "y3 = gco_p*dt**2/2 + v2*dt + y2\n", + "\n", + "# Instante 4\n", + "a3 = gco_p - B*v3\n", + "v4 = v3 + a3*dt\n", + "y4 = gco_p*dt**2/2 + v3*dt + y3\n", + "\n", + "# Instante 5\n", + "a4 = gco_p - B*v4\n", + "v5 = v4 + a4*dt\n", + "y5 = gco_p*dt**2/2 + v4*dt + y4\n", + "\n", + "# Instante 6\n", + "a5 = gco_p - B*v5\n", + "v6 = v5 + a5*dt\n", + "y6 = gco_p*dt**2/2 + v5*dt + y5\n", + "\n", + "# Instante 7\n", + "a6 = gco_p - B*v6\n", + "v7 = v6 + a6*dt\n", + "y7 = gco_p*dt**2/2 + v6*dt + y6\n", + "\n", + "# Instante 8\n", + "a7 = gco_p - B*v7\n", + "v8 = v7 + a7*dt\n", + "y8 = gco_p*dt**2/2 + v7*dt + y7\n", + "\n", + "# Instante 9\n", + "a8 = gco_p - B*v8\n", + "v9 = v8 + a8*dt\n", + "y9 = gco_p*dt**2/2 + v8*dt + y8\n", + "\n", + "# Instante 10\n", + "a9 = gco_p - B*v9\n", + "v10 = v9 + a9*dt\n", + "y10 = gco_p*dt**2/2 + v9*dt + y9\n", + "\n", + "# Instante 11\n", + "a10 = gco_p - B*v10\n", + "v11 = v10 + a5*dt\n", + "y11 = gco_p*dt**2/2 + v10*dt + y10\n", + "\n", + "# Instante 12\n", + "a11 = gco_p - B*v11\n", + "v12 = v11 + a11*dt\n", + "y12 = gco_p*dt**2/2 + v11*dt + y11\n", + "\n", + "# Instante 13\n", + "a12 = gco_p - B*v12\n", + "v13 = v12 + a12*dt\n", + "y13 = gco_p*dt**2/2 + v12*dt + y12\n", + "\n", + "# Instante 14\n", + "a13 = gco_p - B*v13\n", + "v14 = v13 + a13*dt\n", + "y14 = gco_p*dt**2/2 + v13*dt + y13\n", + "\n", + "# Instante 15\n", + "a14 = gco_p - B*v14\n", + "v15 = v14 + a14*dt\n", + "y15 = gco_p*dt**2/2 + v14*dt + y14\n", + "\n", + "# Instante 16\n", + "a15 = gco_p - B*v15\n", + "v16 = v15 + a15*dt\n", + "y16 = gco_p*dt**2/2 + v15*dt + y15\n", + "\n", + "# Instante 17\n", + "a16 = gco_p - B*v16\n", + "v17 = v16 + a16*dt\n", + "y17 = gco_p*dt**2/2 + v16*dt + y16\n", + "\n", + "# Instante 18\n", + "a17 = gco_p - B*v17\n", + "v18 = v17 + a17*dt\n", + "y18 = gco_p*dt**2/2 + v17*dt + y17\n", + "\n", + "# Instante 19\n", + "a18 = gco_p - B*v18\n", + "v19 = v18 + a18*dt\n", + "y19 = gco_p*dt**2/2 + v18*dt + y18\n", + "\n", + "# Instante 20\n", + "a19 = gco_p - B*v19\n", + "v20 = v19 + a19*dt\n", + "y20 = gco_p*dt**2/2 + v19*dt + y19\n", + "\n", + "# Instante 21\n", + "a20 = gco_p - B*v20\n", + "v21 = v20 + a20*dt\n", + "y21 = gco_p*dt**2/2 + v20*dt + y20\n", + "\n", + "# Instante 22\n", + "a21 = gco_p - B*v21\n", + "v22 = v21 + a21*dt\n", + "y22 = gco_p*dt**2/2 + v21*dt + y21\n", + "\n", + "# Instante 23\n", + "a22 = gco_p - B*v22\n", + "v23 = v22 + a22*dt\n", + "y23 = gco_p*dt**2/2 + v22*dt + y22\n", + "\n", + "# Instante 24\n", + "a23 = gco_p - B*v23\n", + "v24 = v23 + a23*dt\n", + "y24 = gco_p*dt**2/2 + v23*dt + y23\n", + "\n", + "# Instante 25\n", + "a24 = gco_p - B*v24\n", + "v25 = v24 + a24*dt\n", + "y25 = gco_p*dt**2/2 + v24*dt + y24\n", + "\n", + "# Instante 26\n", + "a25 = gco_p - B*v25\n", + "v26 = v25 + a25*dt\n", + "y26 = gco_p*dt**2/2 + v25*dt + y25\n", + "\n", + "# Instante 27\n", + "a26 = gco_p - B*v26\n", + "v27 = v26 + a26*dt\n", + "y27 = gco_p*dt**2/2 + v26*dt + y26\n", + "\n", + "# Instante 28\n", + "a27 = gco_p - B*v27\n", + "v28 = v27 + a27*dt\n", + "y28 = gco_p*dt**2/2 + v27*dt + y27\n", + "\n", + "# Instante 29\n", + "a28 = gco_p - B*v28\n", + "v29 = v28 + a28*dt\n", + "y29 = gco_p*dt**2/2 + v28*dt + y28\n", + "\n", + "# Instante 30\n", + "a29 = gco_p - B*v29\n", + "v30 = v29 + a29*dt\n", + "y30 = gco_p*dt**2/2 + v29*dt + y29\n", + "\n", + "# Instante 31\n", + "a30 = gco_p - B*v30\n", + "v31 = v30 + a30*dt\n", + "y31 = g*dt**2/2 + v30*dt + y30\n", + "\n", + "# Instante 32\n", + "a31 = gco_p - B*v31\n", + "v32 = v31 + a31*dt\n", + "y32 = gco_p*dt**2/2 + v31*dt + y31\n", + "\n", + "# Instante 33\n", + "a32 = gco_p - B*v32\n", + "v33 = v32 + a32*dt\n", + "y33 = gco_p*dt**2/2 + v32*dt + y32\n", + "\n", + "# Instante 34\n", + "a33 = gco_p - B*v33\n", + "v34 = v33 + a33*dt\n", + "y34 = gco_p*dt**2/2 + v33*dt + y33\n", + "\n", + "# Instante 35\n", + "a34 = gco_p - B*v34\n", + "v35 = v34 + a34*dt\n", + "y35 = gco_p*dt**2/2 + v34*dt + y34\n", + "\n", + "# Instante 36\n", + "a35 = gco_p - B*v35\n", + "v36 = v35 + a35*dt\n", + "y36 = gco_p*dt**2/2 + v35*dt + y35\n", + "\n", + "# Instante 37\n", + "a36 = gco_p - B*v36\n", + "v37 = v36 + a36*dt\n", + "y37 = gco_p*dt**2/2 + v36*dt + y36\n", + "\n", + "# Instante 38\n", + "a37 = gco_p - B*v37\n", + "v38 = v37 + a37*dt\n", + "y38 = g*dt**2/2 + v37*dt + y37\n", + "\n", + "# Instante 39\n", + "a38 = gco_p - B*v38\n", + "v39 = v38 + a38*dt\n", + "y39 = gco_p*dt**2/2 + v38*dt + y38\n", + "\n", + "# Instante 40\n", + "a39 = gco_p - B*v39\n", + "v40 = v39 + a39*dt\n", + "y40 = gco_p*dt**2/2 + v39*dt + y39\n", + "\n", + "# Instante 41\n", + "a40 = gco_p - B*v40\n", + "v41 = v40 + a40*dt\n", + "y41 = gco_p*dt**2/2 + v40*dt + y40\n", + "\n", + "# Instante 42\n", + "a41 = gco_p - B*v41\n", + "v42 = v41 + a41*dt\n", + "y42 = gco_p*dt**2/2 + v41*dt + y41\n", + "\n", + "# Instante 43\n", + "a42 = gco_p - B*v42\n", + "v43 = v42 + a42*dt\n", + "y43 = gco_p*dt**2/2 + v42*dt + y42\n", + "\n", + "# Instante 44\n", + "a43 = gco_p - B*v43\n", + "v44 = v43 + a43*dt\n", + "y44 = gco_p*dt**2/2 + v43*dt + y43\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Agrupar los instantes en un solo conjunto y gráficar para comprobar el promedio de caida con rozamiento de la servilleta extendida." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "t_instante_ex = [t0, dt, 2*dt, 3*dt, 4*dt, 5*dt, 6*dt, 7*dt, 8*dt, 9*dt, 10*dt, 11*dt, 12*dt, 13*dt, 14*dt, 15*dt, 16*dt, 17*dt, 18*dt, 19*dt, 20*dt, 21*dt, 22*dt, 23*dt, 24*dt, 25*dt, 26*dt, 27*dt, 28*dt, 29*dt, 30*dt, 31*dt, 32*dt, 33*dt, 34*dt, 35*dt, 36*dt, 37*dt, 38*dt, 39*dt, 40*dt, 41*dt, 42*dt, 43*dt, 44*dt]\n", + "y_instante_ex = [-y0, -y1, -y2, -y3, -y4, -y5, -y6, -y7, -y8, -y9, -y10, -y11, -y12, -y13, -y14, -y15, -y16, -y17, -y18, -y19, -y20, -y21, -y22, -y23, -y24, -y25, -y26, -y27, -y28, -y29, -y30, -y31, -y32, -y33, -y34, -y35, -y36, -y37, -y38, -y39, -y40, -y41, -y42, -y43, -y44]" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Gráfica de todos los instantes de la servilleta extentida considerando su fricción.\n", + "plt.figure()\n", + "plt.plot(t_instante_ex, y_instante_ex, 'm', label = 'Servilleta extendida conciderando el rozamiento')\n", + "plt.xlabel('t(s)')\n", + "plt.ylabel('h(m)')\n", + "plt.legend()\n", + "plt.title('CaÃda de una servilleta extendida considerando su rozamiento', fontweight='bold')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Comparación final entre la servilleta comprimida y la extendida con rozamiento calculado." + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Gráfica de la servilleta extendida con rozamiento comparada con la de la servilleta comprimida también con rozamiento.\n", + "plt.figure()\n", + "plt.plot(tex_prom, yex_prom, '--m', label = 'Servilleta extendida')\n", + "plt.plot(tco_prom, yco_prom, \"--b\", label = 'Servilleta comprimida')\n", + "plt.xlabel('t(s)')\n", + "plt.ylabel('h(m)')\n", + "plt.legend()\n", + "plt.title('CaÃda de una servilleta extendida considerando su rozamiento', fontweight='bold')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Fin" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.9" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +}