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Upload MOVIMIENTO_PARABOLICO.ipynb
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MOVIMIENTO_PARABOLICO.ipynb
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| 1 |
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{
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| 2 |
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"cells": [
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| 3 |
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{
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| 4 |
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"cell_type": "code",
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| 5 |
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"source": [
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| 6 |
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"!pip install gradio matplotlib pillow # Instalar las bibliotecas necesarias\n",
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| 7 |
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"!pip install huggingface_hub\n",
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| 8 |
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"import numpy as np\n",
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| 9 |
+
"import gradio as gr\n",
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| 10 |
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"import matplotlib.pyplot as plt\n",
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| 11 |
+
"from PIL import Image\n",
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| 12 |
+
"\n",
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| 13 |
+
"# Cargar la imagen del logo (aseg煤rate de que el archivo est茅 en la ruta correcta)\n",
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| 14 |
+
"logo_image = \"/content/LOGOCIPDOQUEBRADAS.png\"\n",
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| 15 |
+
"\n",
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| 16 |
+
"def calcular_movimiento_parabolico(v0, angulo, h_inicial):\n",
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| 17 |
+
" g = 9.81 # Aceleraci贸n debido a la gravedad (m/s^2)\n",
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| 18 |
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" angulo_rad = np.radians(angulo)\n",
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| 19 |
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"\n",
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| 20 |
+
" # Tiempo de vuelo considerando altura inicial\n",
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| 21 |
+
" t_vuelo = (v0 * np.sin(angulo_rad) + np.sqrt((v0 * np.sin(angulo_rad))**2 + 2 * g * h_inicial)) / g\n",
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| 22 |
+
"\n",
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| 23 |
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" # Tiempo en intervalos\n",
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| 24 |
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" t = np.linspace(0, t_vuelo, num=500)\n",
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| 25 |
+
"\n",
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| 26 |
+
" # Trayectoria\n",
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| 27 |
+
" x = v0 * np.cos(angulo_rad) * t\n",
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| 28 |
+
" y = h_inicial + v0 * np.sin(angulo_rad) * t - 0.5 * g * t**2\n",
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| 29 |
+
"\n",
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| 30 |
+
" # Altura m谩xima\n",
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| 31 |
+
" h_max = h_inicial + (v0**2 * np.sin(angulo_rad)**2) / (2 * g)\n",
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| 32 |
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"\n",
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| 33 |
+
" # Alcance m谩ximo\n",
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| 34 |
+
" alcance_max = v0 * np.cos(angulo_rad) * t_vuelo\n",
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| 35 |
+
"\n",
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| 36 |
+
" return x, y, h_max, alcance_max, t_vuelo\n",
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| 37 |
+
"\n",
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| 38 |
+
"def graficar(v0, angulo, h_inicial):\n",
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| 39 |
+
" x, y, h_max, alcance_max, t_vuelo = calcular_movimiento_parabolico(v0, angulo, h_inicial)\n",
|
| 40 |
+
"\n",
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| 41 |
+
" plt.figure(figsize=(10, 5))\n",
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| 42 |
+
" plt.plot(x, y, label='Trayectoria', color='purple')\n",
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| 43 |
+
" plt.title('Movimiento Parab贸lico')\n",
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| 44 |
+
" plt.xlabel('Distancia (m)')\n",
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| 45 |
+
" plt.ylabel('Altura (m)')\n",
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| 46 |
+
" plt.grid(True)\n",
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| 47 |
+
"\n",
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| 48 |
+
" # C谩lculo de componentes de velocidad\n",
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| 49 |
+
" vx = v0 * np.cos(np.radians(angulo))\n",
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| 50 |
+
" vy = v0 * np.sin(np.radians(angulo))\n",
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| 51 |
+
"\n",
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| 52 |
+
" # A帽adir vectores\n",
|
| 53 |
+
" plt.quiver(0, h_inicial, vx, vy, angles='xy', scale_units='xy', scale=1, color='r', label='Vector de Lanzamiento (V0)')\n",
|
| 54 |
+
" plt.quiver(0, h_inicial, vx, 0, angles='xy', scale_units='xy', scale=1, color='g', label='Componente x (Vx)')\n",
|
| 55 |
+
" plt.quiver(0, h_inicial, 0, vy, angles='xy', scale_units='xy', scale=1, color='b', label='Componente y (Vy)')\n",
|
| 56 |
+
"\n",
|
| 57 |
+
" plt.axhline(0, color='k', linewidth=0.5, linestyle='--')\n",
|
| 58 |
+
" plt.axvline(0, color='k', linewidth=0.5, linestyle='--')\n",
|
| 59 |
+
"\n",
|
| 60 |
+
" plt.xlim(0, alcance_max * 1.1)\n",
|
| 61 |
+
" plt.ylim(0, h_max * 1.1)\n",
|
| 62 |
+
"\n",
|
| 63 |
+
" # Dibujar el arco del 谩ngulo\n",
|
| 64 |
+
" angulo_rad = np.arctan2(vy, vx)\n",
|
| 65 |
+
" arco_x = np.linspace(0, vx, 100)\n",
|
| 66 |
+
" arco_y = h_inicial + (arco_x * np.tan(angulo_rad))\n",
|
| 67 |
+
" plt.plot(arco_x, arco_y, color='orange', label='脕ngulo de Lanzamiento')\n",
|
| 68 |
+
" plt.text(vx / 2, h_inicial + 2, f'脕ngulo: {angulo}掳', fontsize=12, color='orange', ha='center')\n",
|
| 69 |
+
"\n",
|
| 70 |
+
" plt.legend()\n",
|
| 71 |
+
" plt.savefig('plot.png') # Guardar la gr谩fica\n",
|
| 72 |
+
" plt.close()\n",
|
| 73 |
+
"\n",
|
| 74 |
+
" # Formatear la salida del texto con las ecuaciones en formato LaTeX\n",
|
| 75 |
+
" resultado = (\n",
|
| 76 |
+
" \"**Ecuaciones del Movimiento Parab贸lico:** \\n\"\n",
|
| 77 |
+
" \"$$ h_{max} = h_0 + \\\\frac{v_0^2 \\\\sin^2(\\\\theta)}{2g} $$ \\n\"\n",
|
| 78 |
+
" \"$$ R = \\\\frac{v_0 \\\\cos(\\\\theta)}{g} \\\\left( v_0 \\\\sin(\\\\theta) + \\\\sqrt{(v_0 \\\\sin(\\\\theta))^2 + 2gh_0} \\\\right) $$ \\n\"\n",
|
| 79 |
+
" \"$$ t_{vuelo} = \\\\frac{v_0 \\\\sin(\\\\theta) + \\\\sqrt{(v_0 \\\\sin(\\\\theta))^2 + 2gh_0}}{g} $$ \\n\"\n",
|
| 80 |
+
" \"Ecuaciones de posici贸n: \\n\"\n",
|
| 81 |
+
" \"$$ x(t) = v_0 \\\\cos(\\\\theta) \\\\cdot t $$ \\n\"\n",
|
| 82 |
+
" \"$$ y(t) = h_0 + v_0 \\\\sin(\\\\theta) \\\\cdot t - \\\\frac{1}{2} g \\\\cdot t^2 $$ \\n\\n\"\n",
|
| 83 |
+
" \"**Valores calculados:** \\n\"\n",
|
| 84 |
+
" f\"- Altura m谩xima (h_max): {h_max:.2f} m \\n\"\n",
|
| 85 |
+
" f\"- Alcance m谩ximo (R): {alcance_max:.2f} m \\n\"\n",
|
| 86 |
+
" f\"- Tiempo de vuelo (t_vuelo): {t_vuelo:.2f} s\"\n",
|
| 87 |
+
" )\n",
|
| 88 |
+
"\n",
|
| 89 |
+
" return Image.open('plot.png'), resultado, 'plot.png' # Devolver la ruta del archivo\n",
|
| 90 |
+
"\n",
|
| 91 |
+
"# Crear la interfaz de Gradio\n",
|
| 92 |
+
"with gr.Blocks() as interfaz:\n",
|
| 93 |
+
" # Mostrar el logo en la parte superior con tama帽o ajustado\n",
|
| 94 |
+
" with gr.Row():\n",
|
| 95 |
+
" gr.Image(logo_image, show_label=False, interactive=False, width=300, height=150) # Ajusta los valores seg煤n sea necesario\n",
|
| 96 |
+
"\n",
|
| 97 |
+
" # T铆tulo de la interfaz\n",
|
| 98 |
+
" gr.Markdown(\"## **Simulaci贸n de Movimiento Parab贸lico - UNAD CIP Dosquebradas ECBTI**\")\n",
|
| 99 |
+
" gr.Markdown(\"**Ingrese los valores para la simulaci贸n**\")\n",
|
| 100 |
+
"\n",
|
| 101 |
+
" # Entradas para velocidad, 谩ngulo y altura inicial usando sliders\n",
|
| 102 |
+
" with gr.Row():\n",
|
| 103 |
+
" v0_input = gr.Slider(label=\"Velocidad Inicial (m/s)\", minimum=0, maximum=100, value=20, step=1)\n",
|
| 104 |
+
" angulo_input = gr.Slider(label=\"脕ngulo de Lanzamiento (grados)\", minimum=0, maximum=90, value=45, step=1)\n",
|
| 105 |
+
" h_inicial_input = gr.Number(label=\"Altura Inicial (m)\", value=0)\n",
|
| 106 |
+
"\n",
|
| 107 |
+
" # Salidas para la gr谩fica y resultados\n",
|
| 108 |
+
" output_image = gr.Image(type=\"pil\")\n",
|
| 109 |
+
" output_markdown = gr.Markdown(label=\"Ecuaciones y Valores Calculados\")\n",
|
| 110 |
+
"\n",
|
| 111 |
+
" # Bot贸n para generar gr谩fica\n",
|
| 112 |
+
" boton_graficar = gr.Button(\"Generar Gr谩fica\")\n",
|
| 113 |
+
" boton_descargar = gr.File(label=\"Descargar Gr谩fica\", type=\"filepath\") # Cambiado a filepath\n",
|
| 114 |
+
"\n",
|
| 115 |
+
" # Funcionalidad del bot贸n\n",
|
| 116 |
+
" boton_graficar.click(fn=graficar, inputs=[v0_input, angulo_input, h_inicial_input], outputs=[output_image, output_markdown, boton_descargar])\n",
|
| 117 |
+
"\n",
|
| 118 |
+
"# Lanzar la interfaz\n",
|
| 119 |
+
"interfaz.launch()\n"
|
| 120 |
+
],
|
| 121 |
+
"metadata": {
|
| 122 |
+
"colab": {
|
| 123 |
+
"base_uri": "https://localhost:8080/",
|
| 124 |
+
"height": 1000
|
| 125 |
+
},
|
| 126 |
+
"id": "z53q7pS2N558",
|
| 127 |
+
"outputId": "cda7be0c-63ed-4bc2-e868-125d521fece5"
|
| 128 |
+
},
|
| 129 |
+
"execution_count": 66,
|
| 130 |
+
"outputs": [
|
| 131 |
+
{
|
| 132 |
+
"output_type": "stream",
|
| 133 |
+
"name": "stdout",
|
| 134 |
+
"text": [
|
| 135 |
+
"Requirement already satisfied: gradio in /usr/local/lib/python3.10/dist-packages (4.44.0)\n",
|
| 136 |
+
"Requirement already satisfied: matplotlib in /usr/local/lib/python3.10/dist-packages (3.7.1)\n",
|
| 137 |
+
"Requirement already satisfied: pillow in /usr/local/lib/python3.10/dist-packages (10.4.0)\n",
|
| 138 |
+
"Requirement already satisfied: aiofiles<24.0,>=22.0 in /usr/local/lib/python3.10/dist-packages (from gradio) (23.2.1)\n",
|
| 139 |
+
"Requirement already satisfied: anyio<5.0,>=3.0 in /usr/local/lib/python3.10/dist-packages (from gradio) (3.7.1)\n",
|
| 140 |
+
"Requirement already satisfied: fastapi<1.0 in /usr/local/lib/python3.10/dist-packages (from gradio) (0.115.0)\n",
|
| 141 |
+
"Requirement already satisfied: ffmpy in /usr/local/lib/python3.10/dist-packages (from gradio) (0.4.0)\n",
|
| 142 |
+
"Requirement already satisfied: gradio-client==1.3.0 in /usr/local/lib/python3.10/dist-packages (from gradio) (1.3.0)\n",
|
| 143 |
+
"Requirement already satisfied: httpx>=0.24.1 in /usr/local/lib/python3.10/dist-packages (from gradio) (0.27.2)\n",
|
| 144 |
+
"Requirement already satisfied: huggingface-hub>=0.19.3 in /usr/local/lib/python3.10/dist-packages (from gradio) (0.24.7)\n",
|
| 145 |
+
"Requirement already satisfied: importlib-resources<7.0,>=1.3 in /usr/local/lib/python3.10/dist-packages (from gradio) (6.4.5)\n",
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| 146 |
+
"Requirement already satisfied: jinja2<4.0 in /usr/local/lib/python3.10/dist-packages (from gradio) (3.1.4)\n",
|
| 147 |
+
"Requirement already satisfied: markupsafe~=2.0 in /usr/local/lib/python3.10/dist-packages (from gradio) (2.1.5)\n",
|
| 148 |
+
"Requirement already satisfied: numpy<3.0,>=1.0 in /usr/local/lib/python3.10/dist-packages (from gradio) (1.26.4)\n",
|
| 149 |
+
"Requirement already satisfied: orjson~=3.0 in /usr/local/lib/python3.10/dist-packages (from gradio) (3.10.7)\n",
|
| 150 |
+
"Requirement already satisfied: packaging in /usr/local/lib/python3.10/dist-packages (from gradio) (24.1)\n",
|
| 151 |
+
"Requirement already satisfied: pandas<3.0,>=1.0 in /usr/local/lib/python3.10/dist-packages (from gradio) (2.1.4)\n",
|
| 152 |
+
"Requirement already satisfied: pydantic>=2.0 in /usr/local/lib/python3.10/dist-packages (from gradio) (2.9.2)\n",
|
| 153 |
+
"Requirement already satisfied: pydub in /usr/local/lib/python3.10/dist-packages (from gradio) (0.25.1)\n",
|
| 154 |
+
"Requirement already satisfied: python-multipart>=0.0.9 in /usr/local/lib/python3.10/dist-packages (from gradio) (0.0.12)\n",
|
| 155 |
+
"Requirement already satisfied: pyyaml<7.0,>=5.0 in /usr/local/lib/python3.10/dist-packages (from gradio) (6.0.2)\n",
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| 156 |
+
"Requirement already satisfied: ruff>=0.2.2 in /usr/local/lib/python3.10/dist-packages (from gradio) (0.6.8)\n",
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| 157 |
+
"Requirement already satisfied: semantic-version~=2.0 in /usr/local/lib/python3.10/dist-packages (from gradio) (2.10.0)\n",
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| 158 |
+
"Requirement already satisfied: tomlkit==0.12.0 in /usr/local/lib/python3.10/dist-packages (from gradio) (0.12.0)\n",
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| 159 |
+
"Requirement already satisfied: typer<1.0,>=0.12 in /usr/local/lib/python3.10/dist-packages (from gradio) (0.12.5)\n",
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| 160 |
+
"Requirement already satisfied: typing-extensions~=4.0 in /usr/local/lib/python3.10/dist-packages (from gradio) (4.12.2)\n",
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"Requirement already satisfied: python-dateutil>=2.7 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (2.8.2)\n",
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"Requirement already satisfied: certifi in /usr/local/lib/python3.10/dist-packages (from httpx>=0.24.1->gradio) (2024.8.30)\n",
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"Requirement already satisfied: httpcore==1.* in /usr/local/lib/python3.10/dist-packages (from httpx>=0.24.1->gradio) (1.0.5)\n",
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"Requirement already satisfied: filelock in /usr/local/lib/python3.10/dist-packages (from huggingface-hub>=0.19.3->gradio) (3.16.1)\n",
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"Requirement already satisfied: markdown-it-py>=2.2.0 in /usr/local/lib/python3.10/dist-packages (from rich>=10.11.0->typer<1.0,>=0.12->gradio) (3.0.0)\n",
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"Requirement already satisfied: pygments<3.0.0,>=2.13.0 in /usr/local/lib/python3.10/dist-packages (from rich>=10.11.0->typer<1.0,>=0.12->gradio) (2.18.0)\n",
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"Requirement already satisfied: charset-normalizer<4,>=2 in /usr/local/lib/python3.10/dist-packages (from requests->huggingface-hub>=0.19.3->gradio) (3.3.2)\n",
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"Requirement already satisfied: mdurl~=0.1 in /usr/local/lib/python3.10/dist-packages (from markdown-it-py>=2.2.0->rich>=10.11.0->typer<1.0,>=0.12->gradio) (0.1.2)\n",
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"Requirement already satisfied: huggingface_hub in /usr/local/lib/python3.10/dist-packages (0.24.7)\n",
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| 194 |
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"Requirement already satisfied: filelock in /usr/local/lib/python3.10/dist-packages (from huggingface_hub) (3.16.1)\n",
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| 195 |
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"Requirement already satisfied: fsspec>=2023.5.0 in /usr/local/lib/python3.10/dist-packages (from huggingface_hub) (2024.6.1)\n",
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"Requirement already satisfied: packaging>=20.9 in /usr/local/lib/python3.10/dist-packages (from huggingface_hub) (24.1)\n",
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| 197 |
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"Requirement already satisfied: pyyaml>=5.1 in /usr/local/lib/python3.10/dist-packages (from huggingface_hub) (6.0.2)\n",
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| 198 |
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"Requirement already satisfied: requests in /usr/local/lib/python3.10/dist-packages (from huggingface_hub) (2.32.3)\n",
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| 199 |
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"Requirement already satisfied: tqdm>=4.42.1 in /usr/local/lib/python3.10/dist-packages (from huggingface_hub) (4.66.5)\n",
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| 200 |
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"Requirement already satisfied: typing-extensions>=3.7.4.3 in /usr/local/lib/python3.10/dist-packages (from huggingface_hub) (4.12.2)\n",
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| 201 |
+
"Requirement already satisfied: charset-normalizer<4,>=2 in /usr/local/lib/python3.10/dist-packages (from requests->huggingface_hub) (3.3.2)\n",
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| 202 |
+
"Requirement already satisfied: idna<4,>=2.5 in /usr/local/lib/python3.10/dist-packages (from requests->huggingface_hub) (3.10)\n",
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| 203 |
+
"Requirement already satisfied: urllib3<3,>=1.21.1 in /usr/local/lib/python3.10/dist-packages (from requests->huggingface_hub) (2.2.3)\n",
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| 204 |
+
"Requirement already satisfied: certifi>=2017.4.17 in /usr/local/lib/python3.10/dist-packages (from requests->huggingface_hub) (2024.8.30)\n",
|
| 205 |
+
"Setting queue=True in a Colab notebook requires sharing enabled. Setting `share=True` (you can turn this off by setting `share=False` in `launch()` explicitly).\n",
|
| 206 |
+
"\n",
|
| 207 |
+
"Colab notebook detected. To show errors in colab notebook, set debug=True in launch()\n",
|
| 208 |
+
"Running on public URL: https://44eff4d5d346d05117.gradio.live\n",
|
| 209 |
+
"\n",
|
| 210 |
+
"This share link expires in 72 hours. For free permanent hosting and GPU upgrades, run `gradio deploy` from Terminal to deploy to Spaces (https://huggingface.co/spaces)\n"
|
| 211 |
+
]
|
| 212 |
+
},
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{
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| 214 |
+
"output_type": "display_data",
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"data": {
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"text/plain": [
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"<IPython.core.display.HTML object>"
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],
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"text/html": [
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| 220 |
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"<div><iframe src=\"https://44eff4d5d346d05117.gradio.live\" width=\"100%\" height=\"500\" allow=\"autoplay; camera; microphone; clipboard-read; clipboard-write;\" frameborder=\"0\" allowfullscreen></iframe></div>"
|
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]
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},
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"metadata": {}
|
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},
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{
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"output_type": "execute_result",
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"data": {
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"text/plain": []
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},
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"metadata": {},
|
| 231 |
+
"execution_count": 66
|
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+
}
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+
]
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+
},
|
| 235 |
+
{
|
| 236 |
+
"cell_type": "code",
|
| 237 |
+
"source": [
|
| 238 |
+
"!apt-get install git\n"
|
| 239 |
+
],
|
| 240 |
+
"metadata": {
|
| 241 |
+
"colab": {
|
| 242 |
+
"base_uri": "https://localhost:8080/"
|
| 243 |
+
},
|
| 244 |
+
"id": "BvwfK0jOaOw0",
|
| 245 |
+
"outputId": "b02b0766-6403-4d14-82c2-5118333bd851"
|
| 246 |
+
},
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| 247 |
+
"execution_count": 72,
|
| 248 |
+
"outputs": [
|
| 249 |
+
{
|
| 250 |
+
"output_type": "stream",
|
| 251 |
+
"name": "stdout",
|
| 252 |
+
"text": [
|
| 253 |
+
"Reading package lists... Done\n",
|
| 254 |
+
"Building dependency tree... Done\n",
|
| 255 |
+
"Reading state information... Done\n",
|
| 256 |
+
"git is already the newest version (1:2.34.1-1ubuntu1.11).\n",
|
| 257 |
+
"0 upgraded, 0 newly installed, 0 to remove and 49 not upgraded.\n"
|
| 258 |
+
]
|
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+
}
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]
|
| 261 |
+
}
|
| 262 |
+
],
|
| 263 |
+
"metadata": {
|
| 264 |
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"colab": {
|
| 265 |
+
"provenance": []
|
| 266 |
+
},
|
| 267 |
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"kernelspec": {
|
| 268 |
+
"display_name": "Python 3",
|
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+
"name": "python3"
|
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},
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"language_info": {
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"name": "python"
|
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}
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},
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"nbformat": 4,
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"nbformat_minor": 0
|
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+
}
|