From 75c30108c4778137c6050650e329d12fdf103852 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Christian=20Paul=20Alexandre=20Reisner-S=C3=A9n=C3=A9lar?= <uqnwo@student.kit.edu> Date: Thu, 16 Jan 2025 12:33:49 +0000 Subject: [PATCH] Delete AeromechanikJonathan.ipynb --- Aeromechanik/AeromechanikJonathan.ipynb | 1280 ----------------------- 1 file changed, 1280 deletions(-) delete mode 100644 Aeromechanik/AeromechanikJonathan.ipynb diff --git a/Aeromechanik/AeromechanikJonathan.ipynb b/Aeromechanik/AeromechanikJonathan.ipynb deleted file mode 100644 index aa66879..0000000 --- a/Aeromechanik/AeromechanikJonathan.ipynb +++ /dev/null @@ -1,1280 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "885c7767-e912-4e31-b5d6-3a3443ffa58e", - "metadata": {}, - "source": [ - "# Fakultät für Physik\n", - "\n", - "## Physikalisches Praktikum P1 für Studierende der Physik\n", - "\n", - "Versuch P1-111, 112, 113 (Stand: **Oktober 2024**)\n", - "\n", - "[Raum F1-10](https://labs.physik.kit.edu/img/Klassische-Praktika/Lageplan_P1P2.png)\n", - "\n", - "\n", - "\n", - "# Aeromechanik" - ] - }, - { - "cell_type": "markdown", - "id": "6e7cb4cc-36a4-4f60-832b-5a0d9b171b22", - "metadata": {}, - "source": [ - "Name: __________________ Vorname: __________________ E-Mail: __________________\n", - "\n", - "\\begin{equation*}\n", - "\\begin{split}\n", - "&\\\\\n", - "&\\\\\n", - "\\end{split}\n", - "\\end{equation*}\n", - "\n", - "Name: __________________ Vorname: __________________ E-Mail: __________________\n", - "\n", - "\\begin{equation*}\n", - "\\begin{split}\n", - "&\\\\\n", - "&\\\\\n", - "&\\\\\n", - "\\end{split}\n", - "\\end{equation*}\n", - "\n", - "Gruppennummer: _____\n", - "\n", - "\\begin{equation*}\n", - "\\begin{split}\n", - "&\\\\\n", - "&\\\\\n", - "&\\\\\n", - "\\end{split}\n", - "\\end{equation*}\n", - "\n", - "\n", - "Betreuer: __________________\n", - "\n", - "\\begin{equation*}\n", - "\\begin{split}\n", - "&\\\\\n", - "&\\\\\n", - "&\\\\\n", - "\\end{split}\n", - "\\end{equation*}\n", - "\n", - "Versuch durchgeführt am: __________________" - ] - }, - { - "cell_type": "markdown", - "id": "3565bbb8-9f2c-452f-9090-d0bfda13e119", - "metadata": {}, - "source": [ - "---\n", - "\n", - "**Beanstandungen zu Protokoll Version _____:**\n", - "\n", - "\\begin{equation*}\n", - "\\begin{split}\n", - "&\\\\\n", - "&\\\\\n", - "&\\\\\n", - "&\\\\\n", - "&\\\\\n", - "&\\\\\n", - "&\\\\\n", - "&\\\\\n", - "&\\\\\n", - "&\\\\\n", - "\\end{split}\n", - "%\\text{\\vspace{10cm}}\n", - "\\end{equation*}\n", - "\n", - "<br>\n", - "Testiert am: __________________ Testat: __________________" - ] - }, - { - "cell_type": "markdown", - "id": "4b5836a8-619b-4c6c-a566-bba7a4313f32", - "metadata": {}, - "source": [ - "# Durchführung" - ] - }, - { - "cell_type": "markdown", - "id": "2c2f4772-ce8f-40a6-9005-78e10fc4f8a9", - "metadata": {}, - "source": [ - "**Detaillierte Hinweise zur Durchführung der Versuche finden Sie in der Datei [Aeromechanik_Hinweise.ipynb](https://gitlab.kit.edu/kit/etp-lehre/p1-praktikum/students/-/blob/main/Aeromechanik/Aeromechanik_Hinweise.ipynb)**" - ] - }, - { - "cell_type": "markdown", - "id": "adf238e6-5a0e-449a-acda-37a9eab56166", - "metadata": {}, - "source": [ - "## Aufgabe 1: Bernoulli-Gleichung \n", - "\n", - "**Die folgenden Versuche führen Sie im Zusammenhang mit der Vorbesprechung mit allen anderen Gruppen gemeinsam durch.**" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "a380155f-f9e9-4ecb-b602-25944e705241", - "metadata": {}, - "outputs": [], - "source": [ - "# After execution of this cell these imports can be used throughout the whole \n", - "# Juyter-notebook \n", - "import pandas as pd\n", - "import matplotlib.pyplot as plt\n", - "import numpy as np\n", - "import PhyPraKit as PPK\n", - "import kafe2\n", - "from uncertainties import ufloat" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "id": "6cd00192-0e55-438a-b5e4-700e5693291f", - "metadata": { - "jp-MarkdownHeadingCollapsed": true - }, - "source": [ - "### Aufgabe 1.1: Statischer und dynamischer Druck\n", - "\n", - "Bestimmen Sie den statischen und den dynamischen Druck im Luftstrom einer Düse bei Drehzahlen des Motors zur Erzeugung des Luftstroms von $f=2600\\,\\mathrm{U/min}$:\n", - "\n", - " * Mit einer **Rohrsonde**.\n", - " * Mit einer **Scheibensonde**.\n", - "\n", - "---" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "36746784-b696-43a7-9f37-97c6d76eacf7", - "metadata": {}, - "outputs": [], - "source": [ - "import matplotlib.pyplot as plt\n", - "import numpy as np\n", - "import PhyPraKit as PPK\n", - "import kafe2\n", - "from uncertainties import ufloat" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "id": "b4eb4128-fd31-4415-9c88-9527088d03c8", - "metadata": {}, - "outputs": [], - "source": [ - "#Rohrsnde\n", - "p0=ufloat(130-30,10)#Gesamtdruck bei d=0.15+-0.02m undr=0m in Pa\n", - "ps=ufloat(110-30,10)#Staatischetdruck bei d=0.15m und r=0m \n", - "#Scheibensonde\n", - "p0sonde2=ufloat(130-30,10)#Gesamtdruck bei d=0.15m undr=0m\n", - "pssonde2=ufloat(40-30,4)#Staatischetdruck bei d=0.15m und r=0m" - ] - }, - { - "cell_type": "markdown", - "id": "a5d840ee-01d0-4562-b389-1067c622cb40", - "metadata": {}, - "source": [ - "**V E R S U C H S B E S C H R E I B U N G**\n", - "\n", - "*Fügen Sie Ihre Versuchsbeschreibung hier ein. Löschen Sie hierzu diesen kursiv gestellten Text aus dem Dokument.* \n", - "\n", - "---" - ] - }, - { - "cell_type": "markdown", - "id": "6d254739-c320-4fa8-9dbb-955dcb6f6e76", - "metadata": {}, - "source": [ - "**L Ö S U N G**\n", - "\n", - "*Fügen Sie numerische Berechnungen zur Lösung dieser Aufgabe hier ein. Löschen Sie hierzu diesen kursiv gestellten Text aus dem Dokument. Um Code-Fragmente und Skripte in [Python](https://www.python.org/), sowie ggf. bildliche Darstellungen direkt ins [Jupyter notebook](https://jupyter.org/) einzubinden verwandeln Sie diese Zelle in eine Code-Zelle. Fügen Sie ggf. weitere Code-Zellen zu.* \n", - "\n", - "---" - ] - }, - { - "cell_type": "markdown", - "id": "1cf505e9-5042-4c59-a5c7-aa32907791b5", - "metadata": {}, - "source": [ - "**D I S K U S S I O N**\n", - "\n", - "*Fügen Sie eine abschließende Diskussion und Bewertung Ihrer Lösung hier ein. Löschen Sie hierzu diesen kursiv gestellten Text aus dem Dokument.* \n", - "\n", - "---" - ] - }, - { - "cell_type": "markdown", - "id": "20887c3e-9c2e-4cf2-918e-c6091ec8f900", - "metadata": {}, - "source": [ - "### Aufgabe 1.2: Venturirohr\n", - "\n", - "Beobachten und skizzieren Sie den **Verlauf des statischen Drucks** längs des Luftstroms im Venturirohr.\n", - "\n", - "---" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "id": "e3e3329b-3653-4235-a6a1-e853a53a02ee", - "metadata": {}, - "outputs": [ - { - "ename": "SyntaxError", - "evalue": "invalid syntax (1852070117.py, line 1)", - "output_type": "error", - "traceback": [ - "\u001b[0;36m Cell \u001b[0;32mIn[17], line 1\u001b[0;36m\u001b[0m\n\u001b[0;31m dj=np.array[ufloat(,),ufloat(,),ufloat(,)]#Abgeschäzte Durchmesser des Rohres in der Mitte und an den Enden m\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid syntax\n" - ] - } - ], - "source": [ - "dj=np.array[ufloat(,),ufloat(,),ufloat(,)]#Abgeschäzte Durchmesser des Rohres in der Mitte und an den Enden m\n", - "abstand=np.array[ufloat(,),ufloat(,),ufloat(,),ufloat(,),ufloat(,),ufloat(,),ufloat(,),ufloat(,)]#Abgeschäzte Abstände der Messpunkte in m\n", - "Ai=np.array[ufloat(,),ufloat(,),ufloat(,),ufloat(,),ufloat(,),ufloat(,),ufloat(,),ufloat(,)] #Querschnitsfläche an den Messpunkten\n", - "delhi=np.array[ufloat(,),ufloat(,),ufloat(,),ufloat(,),ufloat(,),ufloat(,),ufloat(,),ufloat(,)]#höhe ohne ls\n", - "delhifinal=np.array[ufloat(,),ufloat(,),ufloat(,),ufloat(,),ufloat(,),ufloat(,),ufloat(,),ufloat(,)]#höhe bei Entgüliger umdrehungszahl" - ] - }, - { - "cell_type": "markdown", - "id": "af58cd68-314f-4e94-b2c7-2d40c3e273df", - "metadata": {}, - "source": [ - "**V E R S U C H S B E S C H R E I B U N G**\n", - "\n", - "*Fügen Sie Ihre Versuchsbeschreibung hier ein. Löschen Sie hierzu diesen kursiv gestellten Text aus dem Dokument.* \n", - "\n", - "---" - ] - }, - { - "cell_type": "markdown", - "id": "2c6e6dd8-bcfa-407c-b07e-3bb7dcf8f358", - "metadata": {}, - "source": [ - "**L Ö S U N G**\n", - "\n", - "*Fügen Sie numerische Berechnungen zur Lösung dieser Aufgabe hier ein. Löschen Sie hierzu diesen kursiv gestellten Text aus dem Dokument. Um Code-Fragmente und Skripte in [Python](https://www.python.org/), sowie ggf. bildliche Darstellungen direkt ins [Jupyter notebook](https://jupyter.org/) einzubinden verwandeln Sie diese Zelle in eine Code-Zelle. Fügen Sie ggf. weitere Code-Zellen zu.* \n", - "\n", - "---" - ] - }, - { - "cell_type": "markdown", - "id": "40bfc482-5af2-4420-b5d0-1e6e92aa1607", - "metadata": {}, - "source": [ - "**D I S K U S S I O N**\n", - "\n", - "*Fügen Sie eine abschließende Diskussion und Bewertung Ihrer Lösung hier ein. Löschen Sie hierzu diesen kursiv gestellten Text aus dem Dokument.* \n", - "\n", - "---" - ] - }, - { - "cell_type": "markdown", - "id": "97b7053b-f7c8-471f-bd76-01bb183198e0", - "metadata": { - "jp-MarkdownHeadingCollapsed": true, - "tags": [] - }, - "source": [ - "### Aufgabe 1.3: Aerodynamisches Paradoxon \n", - "\n", - "Lassen Sie Druckluft axial zentrisch zwischen zwei eng aneinanderliegenden Kreisscheiben einströmen, so dass sie radial nach außen entweicht und erklären Sie Ihre Beobachtung.\n", - "\n", - "---" - ] - }, - { - "cell_type": "markdown", - "id": "670ccfe4-8177-45ed-8d09-569b54a0d59a", - "metadata": {}, - "source": [ - "**V E R S U C H S B E S C H R E I B U N G**\n", - "\n", - "*Fügen Sie Ihre Versuchsbeschreibung hier ein. Löschen Sie hierzu diesen kursiv gestellten Text aus dem Dokument.* \n", - "\n", - "---" - ] - }, - { - "cell_type": "markdown", - "id": "ec115e19-aff5-44ec-9746-f04f9246c1e2", - "metadata": {}, - "source": [ - "**L Ö S U N G**\n", - "\n", - "*Fügen Sie numerische Berechnungen zur Lösung dieser Aufgabe hier ein. Löschen Sie hierzu diesen kursiv gestellten Text aus dem Dokument. Um Code-Fragmente und Skripte in [Python](https://www.python.org/), sowie ggf. bildliche Darstellungen direkt ins [Jupyter notebook](https://jupyter.org/) einzubinden verwandeln Sie diese Zelle in eine Code-Zelle. Fügen Sie ggf. weitere Code-Zellen zu.* \n", - "\n", - "---" - ] - }, - { - "cell_type": "markdown", - "id": "3526d1b3-4db3-4608-b3a8-69055dc80e2f", - "metadata": {}, - "source": [ - "**D I S K U S S I O N**\n", - "\n", - "*Fügen Sie eine abschließende Diskussion und Bewertung Ihrer Lösung hier ein. Löschen Sie hierzu diesen kursiv gestellten Text aus dem Dokument.* \n", - "\n", - "---" - ] - }, - { - "cell_type": "markdown", - "id": "de3d08da-7ff9-4dae-ab9c-dd6fe791e95b", - "metadata": {}, - "source": [ - "## Aufgabe 2: Charakterisierung des Luftstroms" - ] - }, - { - "cell_type": "markdown", - "id": "656420b1-cae2-44bf-b08a-7847276f8fc8", - "metadata": {}, - "source": [ - "### Aufgabe 2.1: Geschwindigkeitfeld \n", - "\n", - "Charakterisieren Sie das **Geschwindigkeitsfeld $v(r)$ des Luftstroms** für eine Drehzahl des Motors zur Erzeugung des Luftstrahls von $f=2600\\,\\mathrm{U/min}$.\n", - "\n", - "---" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "8eb027e3-ae17-4cdf-9b23-95adc9f01de1", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "<Figure size 640x480 with 1 Axes>" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": 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RZNauXWuMMebMmTPmwQcfNFdffbUJCwszt956q9mwYYPp2bOn6dmz5xX75HK/J3d+J+Vp2bJlpa54ysvLM2PHjjVNmzY1ISEhpmPHjmbp0qUV7tsTV1e5c+zS4116hdjMmTNNp06djN1uN0FBQaZx48bmrrvuMl988UWZ958+fdqMGzfOtGrVyoSEhJjGjRub/v37my+//NIYY8yKFSuMJLNz506X973yyitGUpm/uWnTppm6deuas2fPVthPsDabMf83OQrUIq+++qreffddl3M56tSpc9kTMAEAgYdzclAr7dixQ+vXr1f9+vWdy6XTWQCAwMdIDgAAsCRGcgAAgCURcgAAgCURcgAAgCURcgAAgCXV2psBXrhwQceOHVNkZOQVHzIHAAD8gzFGeXl5iomJUZ06FY/V1NqQc+zYMcXFxfm6DAAAUAU5OTlXvGt5rQ05kZGRkko6KSoqysfVAACAynA4HIqLi3N+j1ek1oac0imqqKgoQg4AAAGmMqeacOIxAACwJEIOAACwJEIOAACwJEIOAACwJEIOAACwJEIOAACwJEIOAACwJEIOAACwJEIOAACwJEIOAACwJEIOAACwJEIOAACwJEIOAACwJL8NORkZGRo8eLBiYmJks9m0YsWKy7Z96KGHZLPZNGfOnBqrDwAA+De/DTkFBQVKTEzUvHnzKmy3YsUKbd68WTExMTVUmfcVFEg2W8lSUODragAACEzBvi7gcgYMGKABAwZU2Obo0aN65JFH9OGHH2rQoEE1VBkAAAgEfhtyruTChQsaOXKkHn/8cV133XVXbF9YWKjCwkLnusPh8GZ5AADAx/x2uupKZs+ereDgYI0dO7ZS7WfOnCm73e5c4uLivFwhAADwpYAMOdu2bdPcuXO1aNEi2Wy2Sr1n0qRJys3NdS45OTlerhIAAPhSQIacDRs26OTJk2rRooWCg4MVHBysQ4cO6Xe/+53i4+PLfU9oaKiioqJcFgAAYF0BeU7OyJEj1adPH5dt/fr108iRIzVq1CgfVeU5xcUXf87IkFJSpKAg39UDAEAg8tuQk5+frwMHDjjXs7OzlZWVpYYNG6pFixaKjo52aV+3bl01bdpUbdu2relSPSo9Xbr0NKOBA6XYWGnuXCk11Xd1AQAQaPx2umrr1q1KSkpSUlKSJGnChAlKSkrSlClTfFyZ96SnS0OHSkePum4/erRke3q6b+oCACAQ2YwxxtdF+ILD4ZDdbldubq5Xzs9x9yZ+xcVS+/ZlA04pm01q3lzavbvyU1fh4e7VAACAv3Pn+9tvp6sCXUSEZ/dnjHTkiGS3u/ceAABqK7+drgIAAKgORnK8JD/fvfYZGSUnGV/JqlVSjx5Vq6k2Kii4OKqWn88UHgDUJoQcL3H3yzQlpeQqqqNHy59mstlKXudycgAAKofpKj8RFFRymbhUEmguVbo+Zw4BBwCAyiLk+JHUVGnZMikmxnV7bGzJdu6TAwBA5TFd5WdSU6U+fS5eRbVqFVNUAABUBSM5fujSQNOjBwEHAICqIOQAAABLIuTA0n76sNNL1wEA1kbIgWWlp5c8KqPUwIFSfDzPAKuOgoKSq/1sNvcfXQIANY2QA0viYacAAK6u8kPh4Tx36lJVedjp2LHl96ExJaMQ48aVXMXmzknd3C0ZAAILIQd+zx8edlr6PgBA4GC6CgAAWBIjOfB7POwUAFAVhBz4PR526j9+ekk+fQjAnzFdBcvhYafewSX5AAINIQeWxMNOPYtL8gEEIpsxtfOaEYfDIbvdrtzcXEVFRfm6HHiJw8HDTn+qKpfkt29fNuCUstmk5s2l3bsr37dcjg+gqtz5/uacHFgaDzstyx8uya+d/7QCUNOYrgIAAJbESA5Qy3BJPoDagpAD1DJckg+gtmC6CkCFuCQfQKAi5MDSSh92agxX9FQHl+QDCERMVwGolNTUkie3c0k+gEDBSA6ASuOSfACBhJADAAAsiZADAAAsiZADAAAsyW9DTkZGhgYPHqyYmBjZbDatWLHC5fVp06YpISFB4eHhatCggfr06aPNmzf7plgAAOB3/DbkFBQUKDExUfPmzSv39Z/97GeaN2+edu3apc8++0zx8fFKSUnRt99+W8OVAgAAfxQQTyG32Wxavny5hgwZctk2pU8l/fjjj/Xzn//8ivvkKeQAAASeWvcU8nPnzukvf/mL7Ha7EhMTy21TWFiowsJC57rD4aip8gAAgA/47XRVZaxcuVIRERGqV6+e/vSnP+mjjz5So0aNym07c+ZM2e125xIXF1fD1QIAgJoU0CGnd+/eysrK0saNG9W/f38NGzZMJ0+eLLftpEmTlJub61xycnJquFoAAFCTAjrkhIeHq3Xr1rr55pu1YMECBQcHa8GCBeW2DQ0NVVRUlMsCAACsK6BDzk8ZY1zOuwEAALWX3554nJ+frwMHDjjXs7OzlZWVpYYNGyo6Olp/+MMfdMcdd6hZs2Y6deqUXn31VR05ckT33HOPD6sGAAD+wm9DztatW9W7d2/n+oQJEyRJaWlpeu211/Tvf/9bixcv1nfffafo6Gh16dJFGzZs0HXXXeerkgEAgB8JiPvkeAP3yQEAIPC48/1tqXNyAAAAShFyAACAJRFyAACAJRFyAACAJRFyAACAJRFyAACAJRFyAACAJRFyAACAJRFyAACAJRFyAACAJRFyAACAJRFyAACAJRFyAACAJRFyAACAJRFyAACAJRFyAACAJRFyAACAJRFyAACAJRFyAACAJRFyAMAHCgokm61kKSjwdTWANRFyAACAJRFyAACAJRFyAACAJRFyAACAJRFyAACAJRFyAACAJRFyAMAHiosv/pyR4boOwDMIOQBQw9LTpfbtL64PHCjFx5dsB+A5hBwAqEHp6dLQodLRo67bjx4t2U7QATwn2NcFAECgcvdOxcXF0tixkjFlXzOm5O7H48ZJffpIQUGV3294uHt1ALUFIQcAqigiwrP7M0Y6ckSy291/H4Cy/Ha6KiMjQ4MHD1ZMTIxsNptWrFjhfO38+fN68skndf311ys8PFwxMTG6//77dezYMd8VDAAA/IrfhpyCggIlJiZq3rx5ZV774YcftH37dk2ePFnbt29Xenq6vvrqK91xxx0+qBRAbZWf796yalXl9rtqlXv7BVA+mzH+P9Bps9m0fPlyDRky5LJttmzZohtvvFGHDh1SixYtrrhPh8Mhu92u3NxcRUVFebBaAChfcXHJVVRHj5Y/xWSzSbGxUna2e+fkALWJO9/ffjuS467c3FzZbDZdddVV5b5eWFgoh8PhsgBATQoKkubOLfnZZnN9rXR9zhwCDuAplgg5Z8+e1cSJEzVixIjLprqZM2fKbrc7l7i4uBquEgCk1FRp2TIpJsZ1e2xsyfbUVN/UBVhRwIec8+fP695779WFCxf06quvXrbdpEmTlJub61xycnJqsEoAuCg1Vdqz5+L6qlUlU1QEHMCzAvoS8vPnz2vYsGHKzs7Wp59+WuHcXGhoqEJDQ2uwOgC4vEunpHr0YIoK8IaADTmlAWf//v1au3atoqOjfV0SAADwI34bcvLz83XgwAHnenZ2trKystSwYUPFxMRo6NCh2r59u1auXKni4mKdOHFCktSwYUOFhIT4qmwAAOAn/PYS8nXr1ql3795ltqelpWnatGlq1apVue9bu3atevXqdcX9cwk5AF8qKLh4x+T8fB7NAFSWO9/ffjuS06tXL1WUv/w0mwEAAD8R8FdXAQAAlMdvR3IAwMrCw3mwJuBtjOQAAABLIuQAAABLIuQAAABLIuQAAABLIuQAAABLIuQAAABLIuQAAABLIuQAAABLIuQAAABLIuQAAABLIuQAAABLIuQAAABLIuQAAABLIuQAAABLIuQAAABLIuQAAABLIuQAAABLIuQAAABLIuQAAABLIuQAAABLIuQAAABLIuQAAABLIuQAAABLIuQAAABLIuQAAABLIuQAAABLIuQAAABLIuQAAABL8tuQk5GRocGDBysmJkY2m00rVqxweT09PV39+vVTo0aNZLPZlJWV5ZM6AQCAf/LbkFNQUKDExETNmzfvsq9369ZNs2bNquHKAABAIAj2dQGXM2DAAA0YMOCyr48cOVKSdPDgwRqqCAAABBK/HckBAACoDr8dyfG0wsJCFRYWOtcdDocPqwEAAN5Wa0ZyZs6cKbvd7lzi4uJ8XRIAAPCiWhNyJk2apNzcXOeSk5Pj65IAAIAX1ZrpqtDQUIWGhvq6DAAAUEP8NuTk5+frwIEDzvXs7GxlZWWpYcOGatGihU6fPq3Dhw/r2LFjkqR9+/ZJkpo2baqmTZv6pGYAAOA//Ha6auvWrUpKSlJSUpIkacKECUpKStKUKVMkSe+//76SkpI0aNAgSdK9996rpKQkvfbaaz6rGQAA+A+bMcb4ughfcDgcstvtys3NVVRUlK/LAQAAleDO97ffjuQAAABUByEHAABYEiEHAABYEiEHAABYktuXkL///vtuH6Rv376qX7++2+8DAACoKrdDzpAhQ9xqb7PZtH//fl1zzTXuHgoAAKDKqjRddeLECV24cKFSS1hYmKdrBgAAuCK3Q05aWppbU0/33Xcf96EBAAA1jpsBcjNAAAACRo3fDHDbtm2e2A0AAIDHeCTk3HXXXZ7YDQAAgMdU+uqqYcOGlbvdGKPTp097rCAAgP8oKJAiIkp+zs+XwsN9Ww/gjkqHnI8//lhvvvmmIkr/2v+PMUYZGRkeLwwAAKA6Kh1yevXqpYiICPXs2bPMa0lJSR4tCgAAoLq4uoqrqwDgspiugr+pkaurTpw4UdW3AgAAeF2VQ05KSoon6wAAAPCoKoecWjrLBQAAAkSVQ47NZvNkHQAAAB7lkZsBAgAA+BtCDgAAsKQqh5yQkBBP1gEA8EPFxRd/zshwXQf8XZVDztatWz1ZBwDAz6SnS+3bX1wfOFCKjy/ZDgQCpqsAAGWkp0tDh0pHj7puP3q0ZDtBB4Gg0o91KE9aWpp69eqlUaNGSZIOHTqkPXv2qGvXrrLb7R4pEABQPQUF7rUvLpbGjpXKu1OIMZLNJo0bJ/XpIwUFVX6/3C0ZNa1aIefDDz/Uww8/LEk6c+aMOnfurB9++EENGzbUp59+qrZt23qkSABA1f3kucrVZox05Ijk7r9lub0aalq1pqtyc3MVGxsrSXr33XcVExOj3NxcjRgxQpMmTfJIgQAAAFVRrZGcuLg4ZWdnKy4uTunp6UpLS1NISIh+/etfq3v37p6qEQBQDfn57rXPyCg5yfhKVq2SevSoWk1ATahWyHnggQf0yCOPaNCgQfr000/1yiuvSJKKi4uV7+5/VQAAr3D3XJiUFCk2tuQk4/KmmGy2ktdTUtw7JweoadUKOZMmTZIxRmvWrNGsWbPUunVrSdKWLVvUokULjxQIAKhZQUHS3LklV1HZbK5Bp/SJPnPmEHDg/2zGC0/afP7553X27FlNnjzZ07v2GIfDIbvdrtzcXEVFRfm6HADwO+npJVdZXXoZeVxcScBJTfVZWajl3Pn+9sp9ch5//PFqB5yMjAwNHjxYMTExstlsWrFihcvrxhhNmzZNMTExql+/vnr16qXdu3dX65gAgItSU6U9ey6ur1olZWcTcBA4qhVyvv/+e73wwgt6/PHH9eqrr2rjxo0qcPeGDJdRUFCgxMREzZs3r9zXn3vuOb344ouaN2+etmzZoqZNm6pv377Ky8vzyPEBAK5TUj16MEWFwFKt6arbbrtNu3btUpcuXXT48GF99dVXunDhgq655hp16tRJ7777rmeKtNm0fPlyDRkyRFLJKE5MTIzGjx+vJ598UpJUWFioJk2aaPbs2XrooYeuuE+mqwDgygoKLt5nJz+fG/rB99z5/q7WicebN2/W+vXrlZycLKkkaOzevVs7duzQjh07qrPrCmVnZ+vEiRNKSUlxbgsNDVXPnj21cePGckNOYWGhCgsLnesOh8Nr9QEAAN+rVsjp0KGD6tS5OOMVGhqqzp07q3PnztUurCInTpyQJDVp0sRle5MmTXTo0KFy3zNz5kw988wzXq0LAAD4j2qdkzN79mxNnjxZZ8+e9VQ9brGVXsv4f4wxZbaVmjRpknJzc51LTk5OTZQIAAB8pFojOa1atVJeXp7atWun4cOH66abblJSUpLX75HTtGlTSSUjOs2aNXNuP3nyZJnRnVKhoaEKDQ31al0AAMB/VGsk5+6771ZOTo569+6tL774Qg8++KBatWql6Oho3XbbbZ6qsYxWrVqpadOm+uijj5zbzp07p/Xr16tr165eOy4AAAgc1RrJ2bNnjzZt2qSOHTs6tx0+fFiZmZnKysqqVmH5+fk6cOCAcz07O1tZWVlq2LChWrRoofHjx2vGjBlq06aN2rRpoxkzZigsLEwjRoyo1nEBAIA1VCvkdOnSpcwzqlq0aKEWLVrozjvvrFZhW7duVe/evZ3rEyZMkCSlpaVp0aJFeuKJJ/Tjjz/qt7/9rc6cOaObbrpJa9asUWRkZLWOCwC4KDy8/OdXAYGgWvfJWb58uf785z/rnXfeUYMGDTxZl9dxnxwAAAJPjd0n5+6775YktWnTRnfccYduvvlmJSUlqWPHjpzkCwAAfKpaIaf0PJkdO3YoKytLs2fP1sGDBxUUFKSEhATt3LnTU3UCAAC4pVohp2XLlmrZsqXL+Td5eXnKysoi4AAAAJ9y+xLynTt36sKFC5d9PTIyUt27d9eYMWMkSbt371ZRUVHVKwQAAKgCt0NOUlKSTp06Ven2t9xyiw4fPuzuYQAAAKrF7ekqY4wmT56ssLCwSrU/d+6c20UBAABUl9shp0ePHtq3b1+l299yyy2qX7++u4cBAACoFrdDzrp167xQBgAAgGdV69lVAAAA/qpGQg7PkwIAADWtRkLOpk2bauIwAAAATh4LOc8884yWLVumf//73xXeRwcAAE8rKJBstpKloMDX1cBfVOmOx6dOnVJ0dLTLtsjISK1atUrPPfecvvnmG8XGxuq6665Thw4dyjypHAAAwNuqFHLatGmj6dOn6ze/+Y3q1CkZDJowYYJLm2+++UZffvmlvvzyS/Xt27f6lQIAALjBZowx7r5pxowZmjVrluLj4/Xyyy+rZ8+e3qjNq9x5VDsAwL8VFEgRESU/5+dL4eG+rQfe4873d5XOyXnqqae0f/9+JScn6+c//7l+8Ytf6MiRI1UqFgAAwBuqfOJxkyZN9MYbb2jLli06ceKEEhISNH36dBUWFnqyPgAAgCqp9tVVSUlJWr9+vRYtWqRFixYpISFBy5cv90RtAAAAVeaxS8iHDh2qvXv36qGHHtKoUaM42RgAAPhUla6uulRhYaH27t2rXbt2Oa+mCgkJ0aeffuqJ+gAAAKqkSiHnmWeecYaar7/+WsXFxbrqqqt0/fXX6/rrr9cdd9yh66+/3tO1AgAAVFqVQk56ero6duyo0aNHO4NNbGysp2sDAACosiqFnB07dni6DgAAqqy4+OLPGRlSSooUFOS7euAfauQBnQAAeEt6utS+/cX1gQOl+PiS7ajdCDkAgICVni4NHSodPeq6/ejRku0Endqt2ldXAQDgCe4+Pby4WBo7Virv4UTGlDyRfNw4qU+fyk9d8TgIayHkAAD8QumzpzzFGOnIEclud+89sA6mqwAAgCUxkgMA8Av5+e61z8goOcn4Slatknr0qFpNCGyEHACAX3D3fJiUFCk2tuQk4/KmmWy2kte5nLz2YroKABCQgoKkuXNLfrbZXF8rXZ8zh4BTmwV0yMnLy9P48ePVsmVL1a9fX127dtWWLVt8XRYAoIakpkrLlkkxMa7bY2NLtqem+qYu+IeADjm/+tWv9NFHH+nNN9/Url27lJKSoj59+ujoT2+YAACwrNRUac+ei+urVknZ2QQcSDZjAvOCuR9//FGRkZH63//9Xw0aNMi5vVOnTrr99tv17LPPVvh+h8Mhu92u3NxcRUVFebtcAIAXFRRcvAQ9P5/73ViZO9/fAXvicVFRkYqLi1WvXj2X7fXr19dnn31Wpn1hYaEKCwud6w6Hw+s1AgAA3wnY6arIyEjdcsstmj59uo4dO6bi4mItWbJEmzdv1vHjx8u0nzlzpux2u3OJi4vzQdUAAKCmBGzIkaQ333xTxhg1b95coaGheumllzRixAgFlXMq/aRJk5Sbm+tccnJyfFAxAACoKQE7XSVJ1157rdavX6+CggI5HA41a9ZMv/jFL9SqVasybUNDQxUaGuqDKgEAgC8E9EhOqfDwcDVr1kxnzpzRhx9+qDvvvNPXJQEAAB8L6JGcDz/8UMYYtW3bVgcOHNDjjz+utm3batSoUb4uDQAA+FhAj+Tk5uZqzJgxSkhI0P33369bb71Va9asUd26dX1dGgAA8LGAvU9OdXGfHACwDu6TU3u48/0d0CM5AAAAlxPQ5+QAACCVjNzUznkJVISRHAAAYEmEHAAAYEmEHAAAYEmEHAAAYEmEHAAAYEmEHAAAYEmEHAAAYEmEHAAAYEmEHAAAYEmEHAAAYEmEHAAAYEmEHAAAYEmEHAAAYEmEHAAAYEmEHAAAYEmEHAAAYEmEHAAAYEmEHAAAYEmEHAAAYEmEHAAAYEmEHAAAYEmEHAAAYEmEHAAAYEmEHAAAYEmEHAAAYEmEHAAAYEmEHAAAYEmEHAAAYEmEHAAAYEkBG3KKior09NNPq1WrVqpfv76uueYa/f73v9eFCxd8XRoAAPADwb4uoKpmz56t1157TYsXL9Z1112nrVu3atSoUbLb7Ro3bpyvywMAAD4WsCHn888/15133qlBgwZJkuLj47V06VJt3brVx5UBAAB/ELDTVbfeeqs++eQTffXVV5KkHTt26LPPPtPAgQPLbV9YWCiHw+GyAAAA6wrYkZwnn3xSubm5SkhIUFBQkIqLi/WHP/xBw4cPL7f9zJkz9cwzz9RwlQAAwFcCdiTnnXfe0ZIlS/TWW29p+/btWrx4sf74xz9q8eLF5bafNGmScnNznUtOTk4NVwwAAGqSzRhjfF1EVcTFxWnixIkaM2aMc9uzzz6rJUuW6N///vcV3+9wOGS325Wbm6uoqChvlgoAADzEne/vgB3J+eGHH1Snjmv5QUFBXEIOAAAkBfA5OYMHD9Yf/vAHtWjRQtddd50yMzP14osvavTo0b4uDQAA+IGAna7Ky8vT5MmTtXz5cp08eVIxMTEaPny4pkyZopCQkCu+n+kqAAACjzvf3wEbcqqLkAMAQOCpFefkAAAAVISQAwAALImQAwAALImQAwAALImQAwAALImQAwAALImQAwAALImQAwAALImQAwAALImQAwAALImQAwAALImQAwAALImQAwAALImQAwAALImQAwAALImQAwAALImQAwAALImQAwAALImQAwAALImQAwAALImQAwAALImQAwAALImQAwAALImQAwAALImQAwAALImQAwAALImQAwAALImQAwAALImQAwAALImQAwAALClgQ058fLxsNluZZcyYMb4uDQCAgFVQINlsJUtBga+rqZ5gXxdQVVu2bFFxcbFz/csvv1Tfvn11zz33+LAqAADgLwI25DRu3NhlfdasWbr22mvVs2dPH1UEAAD8ScBOV13q3LlzWrJkiUaPHi2bzebrcgAAgB8I2JGcS61YsULff/+9Hnjggcu2KSwsVGFhoXPd4XDUQGUAAMBXLDGSs2DBAg0YMEAxMTGXbTNz5kzZ7XbnEhcXV4MVAgCAmhbwIefQoUP6+OOP9atf/arCdpMmTVJubq5zycnJqaEKAQCALwT8dNXChQt19dVXa9CgQRW2Cw0NVWhoaA1VBQAAfC2gR3IuXLighQsXKi0tTcHBAZ/XAACABwV0yPn44491+PBhjR492telAAAAPxPQwx8pKSkyxvi6DAAA4IcCeiQHAADgcgg5AADAkgg5AADAkgg5AADAkgg5AADAkgg5AADAkgg5AADAkgg5AADAqbj44s8ZGa7rgYaQAwAAJEnp6VL79hfXBw6U4uNLtgciQg4AAFB6ujR0qHT0qOv2o0dLtgdi0AnoxzoAAICyCgrca19cLI0dK5X3pCRjJJtNGjdO6tNHCgqq/H7Dw92rw9MIOQAAWExEhGf3Z4x05Ihkt7v/Pl9iugoAAFgSIzkAAFhMfr577TMySk4yvpJVq6QePapWky8QcgAAsBh3z4VJSZFiY0tOMi5vislmK3k9JcW9c3J8jekqAABquaAgae7ckp9tNtfXStfnzAmsgCMRcgAAgKTUVGnZMikmxnV7bGzJ9tRU39RVHUxXAQAASSVBpk+fi1dRrVoVeFNUl2IkBwAAOF0aaHr0CNyAIxFyAACARRFyAACAJRFyAACAJRFyAACAJRFyAACAJRFyAACAJRFyAACAJRFyAACAJRFyAACAJRFyAACAJRFyAACAJRFyAACAJQV0yDl69Kjuu+8+RUdHKywsTJ06ddK2bdt8XRYAAPADwb4uoKrOnDmjbt26qXfv3vrggw909dVX6+uvv9ZVV13l69IAAIAfCNiQM3v2bMXFxWnhwoXObfHx8b4rCAAA+JWAna56//33lZycrHvuuUdXX321kpKSNH/+/Mu2LywslMPhcFkAAICr8HDJmJIlPNzX1VRPwIacb775Rn/+85/Vpk0bffjhh3r44Yc1duxY/fWvfy23/cyZM2W3251LXFxcDVcMAABqks0YY3xdRFWEhIQoOTlZGzdudG4bO3astmzZos8//7xM+8LCQhUWFjrXHQ6H4uLilJubq6ioqBqpGQAAVI/D4ZDdbq/U93fAjuQ0a9ZM7du3d9nWrl07HT58uNz2oaGhioqKclkAAIB1BWzI6datm/bt2+ey7auvvlLLli19VBEAAPAnARtyHn30UW3atEkzZszQgQMH9NZbb+kvf/mLxowZ4+vSAACAHwjYkNOlSxctX75cS5cuVYcOHTR9+nTNmTNHv/zlL31dGgAA8AMBe+Jxdblz4hIAAPAPteLEYwAAgIoQcgAAgCURcgAAgCURcgAAgCURcgAAgCURcgAAgCURcgAAgCURcgAAgCUF+7oAXym9B6LD4fBxJQAAoLJKv7crcy/jWhty8vLyJElxcXE+rgQAALgrLy9Pdru9wja19rEOFy5c0LFjxxQZGSmbzebrcspwOByKi4tTTk4Oj52oJvrSs+hPz6EvPYv+9Bx/7ktjjPLy8hQTE6M6dSo+66bWjuTUqVNHsbGxvi7jiqKiovzuDyxQ0ZeeRX96Dn3pWfSn5/hrX15pBKcUJx4DAABLIuQAAABLIuT4qdDQUE2dOlWhoaG+LiXg0ZeeRX96Dn3pWfSn51ilL2vticcAAMDaGMkBAACWRMgBAACWRMgBAACWRMgBAACWRMipIa+++qpatWqlevXq6YYbbtCGDRsqbL9+/XrdcMMNqlevnq655hq99tprZdq89957at++vUJDQ9W+fXstX77cW+X7HU/35+7du3X33XcrPj5eNptNc+bM8WL1/sXTfTl//nx1795dDRo0UIMGDdSnTx998cUX3vwIfsXT/Zmenq7k5GRdddVVCg8PV6dOnfTmm2968yP4DW/8f7PU22+/LZvNpiFDhni4av/l6f5ctGiRbDZbmeXs2bPe/BjuMfC6t99+29StW9fMnz/f7Nmzx4wbN86Eh4ebQ4cOldv+m2++MWFhYWbcuHFmz549Zv78+aZu3bpm2bJlzjYbN240QUFBZsaMGWbv3r1mxowZJjg42GzatKmmPpbPeKM/v/jiC/PYY4+ZpUuXmqZNm5o//elPNfRpfMsbfTlixAjzyiuvmMzMTLN3714zatQoY7fbzZEjR2rqY/mMN/pz7dq1Jj093ezZs8ccOHDAzJkzxwQFBZnVq1fX1MfyCW/0ZamDBw+a5s2bm+7du5s777zTy5/EP3ijPxcuXGiioqLM8ePHXRZ/QsipATfeeKN5+OGHXbYlJCSYiRMnltv+iSeeMAkJCS7bHnroIXPzzTc714cNG2b69+/v0qZfv37m3nvv9VDV/ssb/Xmpli1b1pqQ4+2+NMaYoqIiExkZaRYvXlz9gv1cTfSnMcYkJSWZp59+unrF+jlv9WVRUZHp1q2bef31101aWlqtCTne6M+FCxcau93u8Vo9iekqLzt37py2bdumlJQUl+0pKSnauHFjue/5/PPPy7Tv16+ftm7dqvPnz1fY5nL7tApv9WdtVFN9+cMPP+j8+fNq2LChZwr3UzXRn8YYffLJJ9q3b5969OjhueL9jDf78ve//70aN26sBx980POF+ylv9md+fr5atmyp2NhY3X777crMzPT8B6gGQo6XfffddyouLlaTJk1ctjdp0kQnTpwo9z0nTpwot31RUZG+++67Cttcbp9W4a3+rI1qqi8nTpyo5s2bq0+fPp4p3E95sz9zc3MVERGhkJAQDRo0SC+//LL69u3r+Q/hJ7zVl//617+0YMECzZ8/3zuF+ylv9WdCQoIWLVqk999/X0uXLlW9evXUrVs37d+/3zsfpApq7VPIa5rNZnNZN8aU2Xal9j/d7u4+rcQb/VlbebMvn3vuOS1dulTr1q1TvXr1PFCt//NGf0ZGRiorK0v5+fn65JNPNGHCBF1zzTXq1auX5wr3Q57sy7y8PN13332aP3++GjVq5PliA4Cn/zZvvvlm3Xzzzc7Xu3Xrps6dO+vll1/WSy+95Kmyq4WQ42WNGjVSUFBQmbR88uTJMim5VNOmTcttHxwcrOjo6ArbXG6fVuGt/qyNvN2Xf/zjHzVjxgx9/PHH6tixo2eL90Pe7M86deqodevWkqROnTpp7969mjlzpmVDjjf6cvfu3Tp48KAGDx7sfP3ChQuSpODgYO3bt0/XXnuthz+Jf6ip/2/WqVNHXbp08auRHKarvCwkJEQ33HCDPvroI5ftH330kbp27Vrue2655ZYy7desWaPk5GTVrVu3wjaX26dVeKs/ayNv9uXzzz+v6dOna/Xq1UpOTvZ88X6oJv82jTEqLCysftF+yht9mZCQoF27dikrK8u53HHHHerdu7eysrIUFxfntc/jazX1t2mMUVZWlpo1a+aZwj2h5s91rn1KL91bsGCB2bNnjxk/frwJDw83Bw8eNMYYM3HiRDNy5Ehn+9JL9x599FGzZ88es2DBgjKX7v3rX/8yQUFBZtasWWbv3r1m1qxZte4Sck/2Z2FhocnMzDSZmZmmWbNm5rHHHjOZmZlm//79Nf75apI3+nL27NkmJCTELFu2zOWy0ry8vBr/fDXNG/05Y8YMs2bNGvP111+bvXv3mhdeeMEEBweb+fPn1/jnq0ne6Mufqk1XV3mjP6dNm2ZWr15tvv76a5OZmWlGjRplgoODzebNm2v8810OIaeGvPLKK6Zly5YmJCTEdO7c2axfv975WlpamunZs6dL+3Xr1pmkpCQTEhJi4uPjzZ///Ocy+/z73/9u2rZta+rWrWsSEhLMe++95+2P4Tc83Z/Z2dlGUpnlp/uxIk/3ZcuWLcvty6lTp9bAp/E9T/fn//t//8+0bt3a1KtXzzRo0MDccsst5u23366Jj+Jz3vj/5qVqU8gxxvP9OX78eNOiRQsTEhJiGjdubFJSUszGjRtr4qNUms2Y/zuTCAAAwEI4JwcAAFgSIQcAAFgSIQcAAFgSIQcAAFgSIQcAAFgSIQcAAFgSIQcAAFgSIQdAQHvggQdks9lks9m0YsWKau1r2rRpzn3NmTPHI/UB8B1CDoCA179/fx0/flwDBgyo1n4ee+wxHT9+XLGxsR6qDIAv8RRyAAHh3LlzCgkJKfe10NBQNW3atNrHiIiIUEREhIKCgqq9LwC+x0gOAL/Uq1cvPfLII5owYYIaNWqkvn37Vvq9Bw8elM1m07vvvqvu3burfv366tKli7766itt2bJFycnJioiIUP/+/fXtt9968VMA8CVCDgC/tXjxYgUHB+tf//qX/ud//sft90+dOlVPP/20tm/fruDgYA0fPlxPPPGE5s6dqw0bNujrr7/WlClTvFA5AH/AdBUAv9W6dWs999xzVX7/Y489pn79+kmSxo0bp+HDh+uTTz5Rt27dJEkPPvigFi1a5IlSAfghRnIA+K3k5ORqvb9jx47On5s0aSJJuv766122nTx5slrHAOC/CDkA/FZ4eHi13l+3bl3nzzabrdxtFy5cqNYxAPgvQg4AALAkQg4AALAkQg4AALAkrq4C4JfWrVtX5ffGx8fLGOOyrVevXmW2PfDAA3rggQeqfBwA/o2RHAABb+XKlYqIiNDKlSurtZ8ZM2YoIiJChw8f9lBlAHzJZn76TxsACCAnT56Uw+GQJDVr1qxaV2SdPn1ap0+fliQ1btxYdrvdIzUC8A1CDgAAsCSmqwAAgCURcgAAgCURcgAAgCURcgAAgCURcgAAgCURcgAAgCURcgAAgCURcgAAgCURcgAAgCX9fwF+2w1viyKkAAAAAElFTkSuQmCC", - "text/plain": [ - "<Figure size 640x480 with 1 Axes>" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "<Figure size 640x480 with 1 Axes>" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "<Figure size 640x480 with 1 Axes>" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "<Figure size 640x480 with 1 Axes>" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "<Figure size 640x480 with 1 Axes>" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "f=ufloat(2600,25)\n", - "unc=3\n", - "ofset=ufloat(30,3)\n", - "r=np.array([ufloat(0,0.002),ufloat(0.01,0.002),ufloat(0.02,0.002),ufloat(0.03,0.002),ufloat(0.035,0.002),ufloat(0.04,0.002),ufloat(0.05,0.002)])#Abstand con der Düse in m\n", - "pdd0=np.array([ufloat(155,unc),ufloat(144,unc),ufloat(142,unc),ufloat(128,unc),ufloat(100,unc),ufloat(83,unc),ufloat(51,unc)])#dynamischerdruck bei d=0.05+-0.005m\n", - "pdd1=np.array([ufloat(145,unc),ufloat(140,unc),ufloat(137,unc),ufloat(118,unc),ufloat(93,unc),ufloat(81,unc),ufloat(56,unc)])#dynamischerdruck bei d=0.10+-0.05m\n", - "pdd2=np.array([ufloat(143,unc),ufloat(134,unc),ufloat(130,unc),ufloat(110,unc),ufloat(89,unc),ufloat(80,unc),ufloat(60,unc)])#dynamischerdruck bei d=0.15+-0.005m\n", - "pdd3=np.array([ufloat(140,unc),ufloat(131,unc),ufloat(125,unc),ufloat(103,unc),ufloat(85,unc),ufloat(80,unc),ufloat(63,unc)])#dynamischerdruck bei d=0.2+-0.005m\n", - "pdd4=np.array([ufloat(135,unc),ufloat(125,unc),ufloat(114,unc),ufloat(93,unc),ufloat(81,unc),ufloat(78,unc),ufloat(65,unc)])#dynamischerdruck bei d=0.3+-0.005m\n", - "\n", - "pdd0f=pdd0-ofset\n", - "pdd1f=pdd1-ofset\n", - "pdd2f=pdd2-ofset\n", - "pdd3f=pdd3-ofset\n", - "pdd4f=pdd4-ofset\n", - "\n", - "rhoLuft=ufloat(1.204,0.01)#Dichte von Luft unter \"normalen\" Bedingungen\n", - "vd0=(pdd0f*(2/rhoLuft))**(0.5)\n", - "vd1=(pdd1f*(2/rhoLuft))**(0.5)\n", - "vd2=(pdd2f*(2/rhoLuft))**(0.5)\n", - "vd3=(pdd3f*(2/rhoLuft))**(0.5)\n", - "vd4=(pdd4f*(2/rhoLuft))**(0.5)\n", - "\n", - "plt.errorbar([y.n for y in r],[x.n for x in vd0],[x.s for x in vd0],[y.s for y in r],fmt='bo') \n", - "plt.ylabel(r'$V_L [ms^{-1}]$')\n", - "plt.xlabel('r [m]')\n", - "plt.title(r\"$v_L$ bei dem Abstand $5\\pm 0.5 cm$\")\n", - "plt.show()\n", - "plt.errorbar([y.n for y in r],[x.n for x in vd1],[x.s for x in vd1],[y.s for y in r],fmt='bo')\n", - "plt.ylabel(r'$V_L [ms^{-1}]$')\n", - "plt.xlabel('r [m]')\n", - "plt.title(r\"$v_L$ bei dem Abstand $10\\pm 0.5 cm$\")\n", - "plt.show()\n", - "plt.errorbar([y.n for y in r],[x.n for x in vd2],[x.s for x in vd2],[y.s for y in r],fmt='bo') \n", - "plt.ylabel(r'$V_L [ms^{-1}]$')\n", - "plt.xlabel('r [m]')\n", - "plt.title(r\"$v_L$ bei dem Abstand $15\\pm 0.5 cm$\")\n", - "plt.show()\n", - "plt.errorbar([y.n for y in r],[x.n for x in vd3],[x.s for x in vd3],[y.s for y in r],fmt='bo') \n", - "plt.ylabel(r'$V_L [ms^{-1}]$')\n", - "plt.xlabel('r [m]')\n", - "plt.title(r\"$v_L$ bei dem Abstand $20\\pm 0.5 cm$\")\n", - "plt.show()\n", - "plt.errorbar([y.n for y in r],[x.n for x in vd4],[x.s for x in vd4],[y.s for y in r],fmt='bo') \n", - "plt.ylabel(r'$V_L [ms^{-1}]$')\n", - "plt.xlabel('r [m]')\n", - "plt.title(r\"$v_L$ bei dem Abstand $30\\pm 0.5 cm$\")\n", - "plt.show()\n", - "\n", - "\n", - "plt.errorbar([y.n for y in r],[x.n for x in vd0],[x.s for x in vd0],[y.s for y in r],marker='x', linestyle='None',label=\"Abstand $5\\pm 0.5 cm$\") \n", - "plt.errorbar([y.n for y in r],[x.n for x in vd1],[x.s for x in vd1],[y.s for y in r],marker='x', linestyle='None',label=\"Abstand $10\\pm 0.5 cm$\")\n", - "plt.errorbar([y.n for y in r],[x.n for x in vd2],[x.s for x in vd2],[y.s for y in r],marker='x', linestyle='None',label=\"Abstand $15\\pm 0.5 cm$\") \n", - "plt.errorbar([y.n for y in r],[x.n for x in vd3],[x.s for x in vd3],[y.s for y in r],marker='x', linestyle='None',label=\"Abstand $20\\pm 0.5 cm$\") \n", - "plt.errorbar([y.n for y in r],[x.n for x in vd4],[x.s for x in vd4],[y.s for y in r],marker='x', linestyle='None',label=\"Abstand $30\\pm 0.5 cm$\") \n", - "plt.ylabel(r'$V_L [ms^{-1}]$')\n", - "plt.xlabel('r [m]')\n", - "plt.legend()\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "e617f85b-ee9e-4369-abb2-0ccc34fec19c", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 0.92, 'v [$ms^{-1}$]')" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "<Figure size 640x480 with 1 Axes>" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig = plt.figure()\n", - "ax = fig.add_subplot(projection='3d')\n", - "\n", - "\n", - "xs=np.ones(len(vd0))\n", - "ax.scatter(xs*0.05, [y.n for y in r], [z.n for z in vd0],c='blue')\n", - "ax.scatter(xs*0.10, [y.n for y in r], [z.n for z in vd1],c='blue')\n", - "ax.scatter(xs*0.15, [y.n for y in r], [z.n for z in vd2],c='blue')\n", - "ax.scatter(xs*0.20, [y.n for y in r], [z.n for z in vd3],c='blue')\n", - "ax.scatter(xs*0.35, [y.n for y in r], [z.n for z in vd4],c='blue')\n", - "\n", - "ax.set_xlabel('d [m]')\n", - "ax.set_ylabel('r [m]')\n", - "ax.set_zlabel(r'v [$ms^{-1}$]')\n", - "\n", - "plt.title(r'v [$ms^{-1}$]')" - ] - }, - { - "cell_type": "markdown", - "id": "d5211a23-2dcd-407a-a3ca-d75749655539", - "metadata": {}, - "source": [ - "**V E R S U C H S B E S C H R E I B U N G**\n", - "Es wird eine Sonde genutz bei der der Gesamtdruck als Druck parallel zum Luftstrom und der staatischer Druck als Druck senkrecht zu dem Luftstrom gemessen wird\n", - "Es wurde bei der bei einer festen Frequnz $f=2600 \\pm 25 \\,\\mathrm{Hz}$ mithilfe einer Sonde die Differenz zwischen dem Gesamtdruck und dem saatischen Druck bestimmt. Bei vernachlässigbaren Schweredruck entsprucht diese Differnz dem Dynamischen Druck $p_d$. Es gilt dabei das $p_d=\\frac{1}{2}\\cdot \\rho_{Luft}\\cdot v_{L}^2$ wobei $v_L$ die Geschwindigkeiten der Luft ist. Es follgt $v_L=\\sqrt{\\dfrac{2p_d}{\\rho_{Luft}}}$. \n", - "\n", - "Um das durch die Turbiene erzeugte Geschwindigkeitsfeld zu charakteriesiern wurde im jeweils 5,10,15,20 und 30 cm Abstand $d$ von der Turbine, der dynmaschie Druck und damit die Geschwindigkeit in den Abständen $r$ 0,1,2,3,3.5,4 und 5 cm von der radialen Symetrieachse deser Turbine gemessen. \n", - "Es wird davon aus gegangen,dass die Turbine einen radialsymetrischen Luftstrom erzeugt. \n", - "\n", - "Follgende Werte wurden gemessen: \n", - "für $d=0.05\\pm 0.005 \\mathrm{m}$\n", - "\n", - "|r in m |$p_d$ in Pa|\n", - "|-----|--------|\n", - "|$0\\pm0.002$|$125\\pm 4$|\n", - "|$0.01\\pm0.002$|$114\\pm 4$|\n", - "|$0.02\\pm0.002$|$112\\pm 4$|\n", - "|$0.03\\pm0.002$|$98\\pm 4$|\n", - "|$0.035\\pm0.002$|$70\\pm 4$|\n", - "|$0.04\\pm0.002$|$53\\pm 4$|\n", - "|$0.05\\pm0.002$|$21\\pm 4$|\n", - "\n", - "für $d=0.10 \\pm 0.005 \\mathrm{m}$\n", - "\n", - "|r in m |$p_d$ in Pa|\n", - "|-----|--------|\n", - "|$0\\pm0.002$|$115\\pm 4$|\n", - "|$0.01\\pm0.002$|$110\\pm 4$|\n", - "|$0.02\\pm0.002$|$107\\pm 4$|\n", - "|$0.03\\pm0.002$|$88\\pm 4$|\n", - "|$0.035\\pm0.002$|$63\\pm 4$|\n", - "|$0.04\\pm0.002$|$51\\pm 4$|\n", - "|$0.05\\pm0.002$|$26\\pm 4$|\n", - "\n", - "\n", - "für $d=0.15 \\pm 0.005 \\mathrm{m}$\n", - "\n", - "|r in m |$p_d$ in Pa|\n", - "|-----|--------|\n", - "|$0\\pm0.002$|$113\\pm 4$|\n", - "|$0.01\\pm0.002$|$104\\pm 4$|\n", - "|$0.02\\pm0.002$|$100\\pm 4$|\n", - "|$0.03\\pm0.002$|$80\\pm 4$|\n", - "|$0.035\\pm0.002$|$59\\pm 4$|\n", - "|$0.04\\pm0.002$|$50\\pm 4$|\n", - "|$0.05\\pm0.002$|$30\\pm 4$|\n", - "\n", - "für $d=0.2 \\pm 0.005 \\mathrm{m}$\n", - "\n", - "|r in m |$p_d$ in Pa|\n", - "|-----|--------|\n", - "|$0\\pm0.002$|$110\\pm 4$|\n", - "|$0.01\\pm0.002$|$101\\pm 4$|\n", - "|$0.02\\pm0.002$|$95\\pm 4$|\n", - "|$0.03\\pm0.002$|$73\\pm 4$|\n", - "|$0.035\\pm0.002$|$55\\pm 4$|\n", - "|$0.04\\pm0.002$|$50\\pm 4$|\n", - "|$0.05\\pm0.002$|$33\\pm 4$|\n", - "\n", - "für $d=0.3 \\pm 0.005 \\mathrm{m}$\n", - "\n", - "|r in m |$p_d$ in Pa|\n", - "|-----|--------|\n", - "|$0\\pm0.002$|$105\\pm 4$|\n", - "|$0.01\\pm0.002$|$95\\pm 4$|\n", - "|$0.02\\pm0.002$|$84\\pm 4$|\n", - "|$0.03\\pm0.002$|$63\\pm 4$|\n", - "|$0.035\\pm0.002$|$51\\pm 4$|\n", - "|$0.04\\pm0.002$|$48\\pm 4$|\n", - "|$0.05\\pm0.002$|$35\\pm 4$|\n", - "\n", - "\n", - "---" - ] - }, - { - "cell_type": "markdown", - "id": "c292d9ca-11e7-4e75-a687-067d52dc23bb", - "metadata": {}, - "source": [ - "**L Ö S U N G**\n", - "\n", - "Die Betrachtung der Geschwindigkeitsverteilung legt nahe, dass die Zukünftigen Messungen bei r=0cm genommen werden solten. Auch lässt ablesen dass die Werte für $r \\approx 0$ in den Abständen d ist zwischen 0 und 20 cm relativ konstant ist. \n", - "\n", - "Alle weiteren Messungen wurden desewegen bei (r=0cm,d=15cm) durchgeführt.\n", - "\n", - "---" - ] - }, - { - "cell_type": "markdown", - "id": "c233f955-a96e-497d-89ba-88191e194def", - "metadata": {}, - "source": [ - "**D I S K U S S I O N**\n", - "\n", - "*\n", - "\n", - "---" - ] - }, - { - "cell_type": "markdown", - "id": "d3dda936-f113-45ca-87bf-3bfe51644ad7", - "metadata": { - "tags": [] - }, - "source": [ - "### Aufgabe 2.2: Kalibration des Motors zur Erzeugung des Luftstroms \n", - "\n", - "Bestimmen Sie einen Zusammenhang zwischen Drehzahl des Motors zur Erzeugung des Luftstrahls und $v(d, r)$. \n", - "\n", - "---" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "id": "ddef56e4-78c3-4d53-a229-6a67a047d485", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "<Figure size 1200x500 with 2 Axes>" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "uncf=10\n", - "f=np.array([ufloat(605,uncf),ufloat(796,uncf),ufloat(1002,uncf),ufloat(1203,uncf),ufloat(1407,uncf),ufloat(1602,uncf),ufloat(1804,uncf),ufloat(1990,uncf),ufloat(2203,uncf),ufloat(2401,uncf),ufloat(2608,uncf)])\n", - "pd22=np.array([ufloat(34,unc),ufloat(39,unc),ufloat(45,unc),ufloat(52,unc),ufloat(63,unc),ufloat(72,unc),ufloat(85,unc),ufloat(98,unc),ufloat(113,unc),ufloat(130,unc),ufloat(149,unc)])\n", - "pd22f=pd22-ofset\n", - "vd22=(pd22f*(2/rhoLuft))**(0.5)\n", - "def v_L(f,a=1,b=1):\n", - " return a*(f-b)\n", - "data = kafe2.XYContainer(x_data=[x.n for x in f],y_data=[y.n for y in vd22])\n", - "data.add_error(axis='y', err_val=[y.s for y in vd22])\n", - "data.add_error(axis='x', err_val=[x.s for x in f])\n", - "data.label = 'Modellierung $v_L(f)$ '\n", - "fit=kafe2.XYFit(xy_data=data,model_function=v_L)\n", - "\n", - "#fit.add_parameter_constraint(name=\"rho\", value=rho2.n, uncertainty=rho2.s)\n", - "fit.do_fit()\n", - "fit.assign_model_function_latex_name(r\"v_L\")\n", - "kafe2.plot(fit, x_label=r\"$f\\, [Hz]$\", y_label=r'$v_L$ [m/s]')\n", - "a=ufloat(fit.parameter_values[0],fit.parameter_errors[0])\n", - "b=ufloat(fit.parameter_values[1],fit.parameter_errors[1])\n" - ] - }, - { - "cell_type": "markdown", - "id": "f6773107-d596-42d5-9194-37bb5b22be41", - "metadata": {}, - "source": [ - "**V E R S U C H S B E S C H R E I B U N G**\n", - "\n", - "Wie bei 2.1 wurde die Geschwindigkeit ds Luftstroms bestimmt jedoch außschlißlich an (r=0cm,d=15cm), es wurde die dabei die Frequenz des Motors in der Turbine geändert. ES wird debei dass die Windgeschwindigkeit liniar mit der Frequenz zunimmt wobei aber die Luft erst ab einem gewissen Wert von f durch die Turbine Beschleunigt wird. Es wird daher angenomen $v_L=a(f-b)$. \n", - "\n", - "Man erhält follgende Messwerte:\n", - "|f in Hz |$p_d$ in Pa|\n", - "|-----|--------|\n", - "|$605\\pm 10$|$4\\pm 4$|\n", - "|$796\\pm 10$|$9\\pm 4$|\n", - "|$1002\\pm 10$|$15\\pm 4$|\n", - "|$1203\\pm 10$|$22\\pm 4$|\n", - "|$1407\\pm 10$|$33\\pm 4$|\n", - "|$1602\\pm 10$|$42\\pm 4$|\n", - "|$1804\\pm 10$|$55\\pm 4$|\n", - "|$1990\\pm 10$|$68\\pm 4$|\n", - "|$2203\\pm 10$|$83\\pm 4$|\n", - "|$2401\\pm 10$|$100\\pm 4$|\n", - "|$2608\\pm 10$|$119\\pm 4$|\n", - "\n", - "\n", - "---" - ] - }, - { - "cell_type": "markdown", - "id": "d02ebf17-97f8-438b-b221-b0226c775785", - "metadata": {}, - "source": [ - "**L Ö S U N G**\n", - "\n", - "Man erhält $v_L=(0.0056 \\pm 0.0002)\\cdot(f-(113\\pm 86)) ms^{-1}$.\n", - "\n", - "---" - ] - }, - { - "cell_type": "markdown", - "id": "a798bf66-7008-4eb9-993e-6868389f0d13", - "metadata": {}, - "source": [ - "**D I S K U S S I O N**\n", - "\n", - "Wir erhalten $\\chi^2/ndf=0.017$ und $\\chi^2 prob=1$ das Modell beschreibt die Daten also sehr gut. Vieleicht wurde aber ein statistische Unsicherheit überschäzt. \n", - "\n", - "---" - ] - }, - { - "cell_type": "markdown", - "id": "feca48b4-4bfe-4fef-a577-27dc1f8fe1ac", - "metadata": { - "tags": [] - }, - "source": [ - "## Aufgabe 3: Strömungswiderstand" - ] - }, - { - "cell_type": "markdown", - "id": "81728adc-faef-411b-94e7-1f0efdcee00f", - "metadata": { - "tags": [] - }, - "source": [ - "### Aufgabe 3.1: Abhängigkeit von der Stirnfläche \n", - "\n", - "Messen Sie bei konstanter Strömungsgeschwindigkeit $v_{s}$ (entsprechend $f=2600\\,\\mathrm{U/min}$) den **Strömungswiderstand $F_{W}$ von drei Kreisscheiben** mit unterschiedlichen Radien $r_{i}$ und überprüfen Sie die Abhängigkeit von $F_{W}$ von der Fläche der Kreisscheiben.\n", - "\n", - "---" - ] - }, - { - "cell_type": "code", - "execution_count": 35, - "id": "d80b5f7e-e04a-4762-8dd8-8386234125a7", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0.00563+/-0.00024\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "<Figure size 1200x500 with 2 Axes>" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/plain": [ - "<kafe2.fit._base.plot.Plot at 0x7f4180946fd0>" - ] - }, - "execution_count": 35, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "offset=ufloat(0.035,0.02)\n", - "dkreis=np.array([ufloat(0.04,0.001),ufloat(0.056,0.001),ufloat(0.08,0.001)])\n", - "Fa=np.array([ufloat(0.19,0.005),ufloat(0.3,0.02),ufloat(0.5,0.02)])\n", - "A=(dkreis**2)*np.pi\n", - "rhoLuft=ufloat(1.204,0.01)#Dichte von Luft unter \"normalen\" Bedingungen\n", - "fn=ufloat(2600,20)\n", - "def F_A(A,rho=1,f=1,a=1,ofs=1,b=1,c_wi=1):\n", - " return 0.5*c_wi*((a*(f-b)))**2*rho*A+ofs\n", - " \n", - "data = kafe2.XYContainer(x_data=[x.n for x in A],y_data=[y.n for y in Fa])\n", - "data.add_error(axis='y', err_val=[y.s for y in Fa])\n", - "data.add_error(axis='x', err_val=[x.s for x in A])\n", - "data.label = r'Modellierung zur Bestimmung von $c_w$ '\n", - "fit=kafe2.XYFit(xy_data=data,model_function=F_A)\n", - "fit.add_parameter_constraint(name=\"rho\", value=rhoLuft.n, uncertainty=rhoLuft.s)\n", - "fit.add_parameter_constraint(name=\"f\", value=fn.n, uncertainty=fn.s)\n", - "fit.add_parameter_constraint(name=\"a\", value=a.n, uncertainty=a.s)\n", - "fit.add_parameter_constraint(name=\"ofs\", value=offset.n, uncertainty=offset.s)\n", - "fit.add_parameter_constraint(name=\"b\", value=b.n, uncertainty=b.s)\n", - "print (a)\n", - "fit.do_fit()\n", - "fit.assign_model_function_latex_name(r\"v_L\")\n", - "kafe2.plot(fit, x_label=r\"$A [m^2]$\", y_label=r'$F_A [N]$')\n" - ] - }, - { - "attachments": { - "4b21e270-884c-436f-ac4c-5715fae55ae4.png": { - "image/png": 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" - } - }, - "cell_type": "markdown", - "id": "77d2cb91-0b79-4856-984e-558bf978671e", - "metadata": {}, - "source": [ - "**V E R S U C H S B E S C H R E I B U N G**\n", - "\n", - "\n", - "Quelle: Hinweise für den Versuch Aeromechnik-Strömungswiderstand\n", - "\n", - "\n", - "Es wurde wie in der Skizze gezeigt Kreisscheiben mit dem Durchmesser r 0.04, 0.056 und 0.08 m in Luftstrom gehangen und die Kraft gemmessen die der Luftstrom in seiner Ausbreitungsrichtung auf die Scheiben auswirkt. Mit $F_{W} = c_{W}\\,\\frac{1}{2}\\,\\rho\\,v^{2}\\,A = c_{W}\\,\\frac{1}{2}\\,\\rho\\,(a(f-b))^{2}\\,A$\n", - "wobei die Kraft auf die Halterung noch addiert werden muss. Man erhält. $F_{W} = c_{W}\\,\\frac{1}{2}\\,\\rho\\,(a(f-b))^{2}\\,A+F_{offset}$. Beziehungsweise mit c_wi=$c_w/4$ $F_{W} = c\\_wi\\,\\frac{1}{2}\\,\\rho\\,(a(f-b))^{2}\\,4A+F_{offset}$ da Kafe2 sonst die paramtereinschränkungen nicht akzeptiert. \n", - "\n", - "Gemessen wurde:\n", - "\n", - "|r in cm |$F_w$ in N|\n", - "|-----|--------|\n", - "|$2\\pm 0.5$|$0.19\\pm 0.05$|\n", - "|$2.8\\pm 0.5$|$0.3\\pm 0.05$|\n", - "|$4\\pm 0.5$|$0.5\\pm 0.05$|\n", - " \n", - "---" - ] - }, - { - "cell_type": "markdown", - "id": "1bfc8093-d438-45b4-a19b-46c9bfb383fb", - "metadata": {}, - "source": [ - "**L Ö S U N G**\n", - "\n", - "Aus der Anpassung ergibt sich $c_W(Kreisscheibe)=0.752 \\pm 0.1096\\mathrm{\\frac{kg\\cdot m}{s^2}}$\n", - "\n", - "---" - ] - }, - { - "cell_type": "markdown", - "id": "97deef39-6ccc-4db6-8ce0-21f14e0f5a2e", - "metadata": {}, - "source": [ - "**D I S K U S S I O N**\n", - "\n", - "Wir erhalten $\\chi^2/ndf=2.49$ und $\\chi^2 prob=0.0829$ das Modell beschreibt die Daten nur anähernd durch das Model beschriebn Werden. Vieleicht wurde auch ein Unsicherheit unterschäzt. Dafür spricht auch dass unser Wert mit em Wert aus dem Datenblatt $c_w=1.1$ nicht vereinbar ist. Die Kreischaiebn sind aber auch nicht idieal daher kann de Wert auch realistisch sein.\n", - "\n", - "---" - ] - }, - { - "cell_type": "markdown", - "id": "615aac0f-25ed-4fb8-9a5c-77c11c6c1036", - "metadata": {}, - "source": [ - "### Aufgabe 3.2: Abhängigkeit von der Geschwindigkeit des Luftstroms\n", - "\n", - "Messen Sie für **eine oder zwei Kreisscheiben Ihrer Wahl** $F_{W}$ in Abhängigkeit von $v_{s}$.\n", - "\n", - "---" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "id": "038c8812-e458-4ae8-abb7-e6aad6c26a95", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "<Figure size 1200x500 with 2 Axes>" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/plain": [ - "<kafe2.fit._base.plot.Plot at 0x7f4180d6d550>" - ] - }, - "execution_count": 28, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "uncf=10\n", - "uncF=0.01\n", - "offset32=ufloat(0.01,0.002)\n", - "f1=np.array([ufloat(607,uncf),ufloat(804,uncf),ufloat(1006,uncf),ufloat(1209,uncf),ufloat(1406,uncf),ufloat(1604,uncf),ufloat(1813,uncf),ufloat(2005,uncf),ufloat(2204,uncf),ufloat(2402,uncf),ufloat(2600,uncf)])\n", - "Fk1=np.array([ufloat(0.03,uncF),ufloat(0.04,uncF),ufloat(0.06,uncF),ufloat(0.095,uncF),ufloat(0.15,uncF),ufloat(0.2,uncF),ufloat(0.25,uncF),ufloat(0.315,uncF),ufloat(0.36,uncF),ufloat(0.44,uncF),ufloat(0.51,uncF)])#Kraft auf scheibe mit r=0.08m in N\n", - "A=ufloat(0.04,0.002)**2*np.pi\n", - "def F_A2(f,rho=1,A=1,a=1,c_w=1,ofs=1,b=1):\n", - " return 0.5*c_w*(a*(f-b))**2*rho*A+ofs\n", - " \n", - "data = kafe2.XYContainer(x_data=[x.n for x in f1],y_data=[y.n for y in Fk1])\n", - "data.add_error(axis='y', err_val=[y.s for y in Fk1])\n", - "data.add_error(axis='x', err_val=[x.s for x in f1])\n", - "data.label = r'Modellierung zur Bestimmung von $c_w$ '\n", - "fit=kafe2.XYFit(xy_data=data,model_function=F_A2)\n", - "fit.add_parameter_constraint(name=\"rho\", value=rhoLuft.n, uncertainty=rhoLuft.s)\n", - "fit.add_parameter_constraint(name=\"A\", value=A.n, uncertainty=A.s)\n", - "fit.add_parameter_constraint(name=\"a\", value=a.n, uncertainty=a.s)\n", - "fit.add_parameter_constraint(name=\"b\", value=b.n, uncertainty=b.s)\n", - "fit.add_parameter_constraint(name=\"ofs\", value=offset32.n, uncertainty=offset32.s)\n", - "#fit.add_parameter_constraint(name=\"rho\", value=rho2.n, uncertainty=rho2.s)\n", - "fit.do_fit()\n", - "fit.assign_model_function_latex_name(r\"v_L\")\n", - "kafe2.plot(fit, x_label=r\"$f [Hz]$\", y_label=r'$F_A [N]$')" - ] - }, - { - "cell_type": "markdown", - "id": "19764f8d-6370-41f5-aaed-e1433d41d7ea", - "metadata": {}, - "source": [ - "**V E R S U C H S B E S C H R E I B U N G**\n", - "\n", - "Die Messung wir wie in 3.1 Durchgeführt es wird aber nur die Kreisscheibe mit Durchmesser 8 cm betrachtet und die Frequnz der Turbine variert. Die Modelfunktion bleibt: $F_{W} = c_{W}\\,\\frac{1}{2}\\,\\rho\\,(a(f-b))^{2}\\,A+F_{offset}$\n", - "\n", - "Es wurde gemeesen:\n", - "|f in Hz |$F_w$ in N|\n", - "|-----|--------|\n", - "|$607\\pm 10$|$0.03\\pm 0.01$|\n", - "|$804\\pm 10$|$0.04\\pm 0.01$|\n", - "|$1006\\pm 10$|$0.06\\pm 0.01$|\n", - "|$1209\\pm 10$|$0.095\\pm 0.01$|\n", - "|$1406\\pm 10$|$0.15\\pm 0.01$|\n", - "|$1604\\pm 10$|$0.2\\pm 0.01$|\n", - "|$1813\\pm 10$|$0.25\\pm 0.01$|\n", - "|$2005\\pm 10$|$0.315\\pm 0.01$|\n", - "|$2204\\pm 10$|$0.36\\pm 0.01$|\n", - "|$2402\\pm 10$|$0.44\\pm 0.01$|\n", - "|$2600\\pm 10$|$0.51\\pm 0.01$|\n", - "\n", - "---" - ] - }, - { - "cell_type": "markdown", - "id": "d4584713-251b-44ab-b5a3-5eef6ee5ad9c", - "metadata": {}, - "source": [ - "**L Ö S U N G**\n", - "\n", - "Aus der Anpassung lässt sich erhalten: $c_w=0.87\\pm 0.12 \\mathrm{\\frac{kg\\cdot m}{s^2}}$\n", - "\n", - "---" - ] - }, - { - "cell_type": "markdown", - "id": "d2f10141-828a-4fbe-83f0-0d0ea90f8fe0", - "metadata": {}, - "source": [ - "**D I S K U S S I O N**\n", - "\n", - "Wir erhalten $\\chi^2/ndf=0.746$ und $\\chi^2 prob=0.682$ das Modell beschreibt die Daten also sehr gut. Auch der Pull zwischen dem ERgebniss und em uas der 3.1 ist 0.726. die Werte sind also Kompatibel. \n", - "\n", - "---" - ] - }, - { - "cell_type": "markdown", - "id": "44dd4e62-90df-4b5d-83f5-7564c1b22df9", - "metadata": {}, - "source": [ - "### Aufgabe 3.3: Abhängigkeit von der Körperform \n", - "\n", - "Messen Sie nun bei konstanter Strömungsgeschwindigkeit $v_{s}$ (entsprechend $f=2600\\,\\mathrm{U/min}$) den **Strömungswiderstand $F_{W}$ von mindestens 2 der folgenden Körper**, die am Versuch ausliegen:\n", - "\n", - " * Kugel,\n", - " * Halbkugel (die Messung ist hier in zwei Richtungen möglich!),\n", - " * Stromlinienkörper.\n", - "\n", - "Sie können sich die Richtung, in der Sie den ausgewählten Körper umströmen lassen aussuchen.\n", - "\n", - "---" - ] - }, - { - "cell_type": "code", - "execution_count": 33, - "id": "fedacc82-5774-419f-b9d7-7a672844e4f0", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Der cw-Wert einer Halbkugel mit der runden Seite nach außen ist 0.35+/-0.05 \n", - "Der cw-Wert einer Halbkugel mit der ausghölten Seite nach außen ist 1.12+/-0.13 \n" - ] - } - ], - "source": [ - "fkugel=ufloat(2600,10)\n", - "offsethalbkugel=ufloat(0.02,0.005)\n", - "Fhalbkugel=ufloat(0.11,0.01)\n", - "Fhalbkugelfalschherum=ufloat(0.355,0.01)\n", - "r=ufloat(0.056/2,0.001)\n", - "rhoLuft=ufloat(1.204,0.01)#Dichte von Luft unter \"normalen\" Bedingungen\n", - "A=np.pi*r**2\n", - "cwhk=Fhalbkugel/((0.5*rhoLuft*(a*fkugel)**2)*A)\n", - "cwhk2=Fhalbkugelfalschherum/((0.5*rhoLuft*(a*fkugel)**2)*A)\n", - "\n", - "print(f\"Der cw-Wert einer Halbkugel mit der runden Seite nach außen ist {cwhk} \")\n", - "print(f\"Der cw-Wert einer Halbkugel mit der ausghölten Seite nach außen ist {cwhk2} \")" - ] - }, - { - "cell_type": "markdown", - "id": "a8110650-83de-4c28-95a5-fb692aabdd33", - "metadata": {}, - "source": [ - "**V E R S U C H S B E S C H R E I B U N G**\n", - "\n", - "es wurden eine konkove und eine kovexe Halbkugel wie in 3.1 in den Luftstrom gehängt und $F_w$ gemessen. wir erhalten $F_w(Konvexe Halbkugel)=0.11\\pm 0.01 \\mathrm{N}$ und $F_w(Konkave Halbkugel)=0.355\\ pm 0.01 \\mathrm{N}$. Mit $F_{W} = c_{W}\\,\\frac{1}{2}\\,\\rho_{Luft}\\,(a(f-b))^{2}\\,A+F_{offset}$ follgt \n", - "$c_{W} =2\\dfrac{F_{W}-F_{offset}}{\\rho_{Luft}\\,(a(f-b))^{2}\\,A}$. \n", - "\n", - "---" - ] - }, - { - "cell_type": "markdown", - "id": "81a02989-928f-4627-9411-fb247a717501", - "metadata": {}, - "source": [ - "**L Ö S U N G**\n", - "\n", - "Einsetzen führt zu $c_w(Konvexe Halbkugel)= 0.35 \\pm 0.05$ sowie $c_w(Konvexe Halbkugel)= 1.12 \\pm 0.13$. \n", - "\n", - "---" - ] - }, - { - "cell_type": "markdown", - "id": "a9faea00-ce2c-4f89-a521-6d1d2cac448c", - "metadata": {}, - "source": [ - "**D I S K U S S I O N**\n", - "\n", - "Die Werte scheinen beim Abgleich mit den werten im datenbaltt Plausibel und sind beide mit dem den Entsprechenden werten kompatibel, insbesondre4 wenn man bedenkt dass die Formen durch kleine Unebenheiten wie Kratzer beschädigt sind. \n", - "\n", - "---" - ] - }, - { - "cell_type": "markdown", - "id": "3dcd6b88-bae9-44d4-b6e3-b1da4ddc7176", - "metadata": {}, - "source": [ - "## Aufgabe 4: Auftrieb" - ] - }, - { - "cell_type": "markdown", - "id": "de3b3aae-7e7c-44c9-abdd-8c0c43c8c7f0", - "metadata": {}, - "source": [ - "### Aufgabe 4.1: Polardiagramm\n", - "\n", - " * Messen Sie bei konstanter Strömungsgeschwindigkeit $v_{s}$ (entsprechend $f=2600\\,\\mathrm{U/min}$) den **Auftrieb und den Strömungswiderstand eines am Versuch ausliegenden Tragflügelmodells** als Funktion des Anstellwinkels $\\alpha$ und bestimmen Sie daraus das **Polardiagramm**.\n", - " * Bestimmen Sie die größte **Gleitzahl $E_{\\mathrm{max}}$ und den dazugehörigen optimalen Anstellwinkel $\\alpha_{\\mathrm{max}}$**.\n", - "\n", - "---" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "c8eb02e1-0e7e-4b04-9596-50bdbf7c254d", - "metadata": {}, - "outputs": [], - "source": [ - "f3=ufloat(2600,25)\n", - "offssetFS=0.01\n", - "offssetFS=0.2\n", - "uncFs=0.002\n", - "uncFa=1\n", - "Winkel=np.array([ufloat(-8,0.1),ufloat(-4,0.1),ufloat(0,0.1),ufloat(4,0.1),ufloat(8,0.1),ufloat(10,0.1),ufloat(12,0.1)])#winkel in grad\n", - "Fs=np.array([ufloat(0.1,uncFs),ufloat(0.12,uncFs),ufloat(0.12,uncFs),ufloat(0.9,uncFs),ufloat(0.12,uncFs),ufloat(0.16,uncFs),ufloat(0.16,uncFs)])#Kraft in Horizontal in N\n", - "Fa=np.array([ufloat(0.04,uncFs),ufloat(0.08,uncFa),ufloat(0.09,uncFa),ufloat(0.15,uncFa),ufloat(0.21,uncFa),ufloat(0.26,uncFa),ufloat(0.35,uncFa)])#Kraft in Horizontal in N" - ] - }, - { - "cell_type": "markdown", - "id": "ee0aad16-80d6-4e5a-a1dc-a584c817720e", - "metadata": {}, - "source": [ - "**V E R S U C H S B E S C H R E I B U N G**\n", - "\n", - "*Fügen Sie Ihre Versuchsbeschreibung hier ein. Löschen Sie hierzu diesen kursiv gestellten Text aus dem Dokument.* \n", - "\n", - "---" - ] - }, - { - "cell_type": "markdown", - "id": "bb271abc-21b5-4e65-9069-732397cc9ec0", - "metadata": {}, - "source": [ - "**L Ö S U N G**\n", - "\n", - "*Fügen Sie numerische Berechnungen zur Lösung dieser Aufgabe hier ein. Löschen Sie hierzu diesen kursiv gestellten Text aus dem Dokument. Um Code-Fragmente und Skripte in [Python](https://www.python.org/), sowie ggf. bildliche Darstellungen direkt ins [Jupyter notebook](https://jupyter.org/) einzubinden verwandeln Sie diese Zelle in eine Code-Zelle. Fügen Sie ggf. weitere Code-Zellen zu.* \n", - "\n", - "---" - ] - }, - { - "cell_type": "markdown", - "id": "071af68d-6570-43af-a947-a54b9b45ec3e", - "metadata": {}, - "source": [ - "**D I S K U S S I O N**\n", - "\n", - "*Fügen Sie eine abschließende Diskussion und Bewertung Ihrer Lösung hier ein. Löschen Sie hierzu diesen kursiv gestellten Text aus dem Dokument.* \n", - "\n", - "---" - ] - }, - { - "cell_type": "markdown", - "id": "6f4aa669-45c2-4ee5-84ca-adcaa1b9dd56", - "metadata": {}, - "source": [ - "### Aufgabe 4.2: Druckprofil\n", - "\n", - "Messen Sie bei konstanter Strömungsgeschwindigkeit $v_{s}$ (entsprechend $f=2600\\,\\mathrm{U/min}$) den Druck an den Messstellen des am Versuch ausliegenden Tragflächenmodells für die Anstellwinkel $\\alpha_{i}=-20^{\\circ},\\,0^{\\circ},\\,+20^{\\circ}$.\n", - "\n", - "---" - ] - }, - { - "cell_type": "code", - "execution_count": 33, - "id": "f683159f-9ebd-4f7e-817e-470af940a6b2", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "30+/-5\n" - ] - } - ], - "source": [ - "#Winkel=-20Grad +-1 grad f=2600\n", - "uncf=5\n", - "pd4220min=np.array([ufloat(102,unc),ufloat(57,unc),ufloat(-33,unc),ufloat(-41,unc),ufloat(-36,unc),ufloat(-34,unc),ufloat(-34,unc),ufloat(-35,unc),ufloat(-31,unc)])\n", - "pd420=np.array([ufloat(142,unc),ufloat(-70,unc),ufloat(-74,unc),ufloat(-50,unc),ufloat(-37,unc),ufloat(-43,unc),ufloat(-34,unc),ufloat(30,unc),ufloat(30,unc)])\n", - "pd4220plus=np.array([ufloat(97,unc),ufloat(-110,unc),ufloat(-81,unc),ufloat(-45,unc),ufloat(-35,unc),ufloat(53,unc),ufloat(46,unc),ufloat(36,unc),ufloat(32,unc)])\n", - "pd420f=[((x**2)**0.5-ofset)*(x/(x**2)**0.5) for x in pd420]\n", - "pd4220minf=[((x**2)**0.5-ofset)*(x/(x**2)**0.5) for x in pd4220min]\n", - "pd4220plusf=[((x**2)**0.5-ofset)*(x/(x**2)**0.5) for x in pd4220plus]\n", - "print(ofset)" - ] - }, - { - "cell_type": "markdown", - "id": "129f677e-b5de-4534-bb91-31cd1f9a2a07", - "metadata": {}, - "source": [ - "**V E R S U C H S B E S C H R E I B U N G**\n", - "\n", - "*Fügen Sie Ihre Versuchsbeschreibung hier ein. Löschen Sie hierzu diesen kursiv gestellten Text aus dem Dokument.* \n", - "\n", - "---" - ] - }, - { - "cell_type": "markdown", - "id": "c24c5979-3413-4d9b-833d-13e3cb7800f3", - "metadata": {}, - "source": [ - "**L Ö S U N G**\n", - "\n", - "*Fügen Sie numerische Berechnungen zur Lösung dieser Aufgabe hier ein. Löschen Sie hierzu diesen kursiv gestellten Text aus dem Dokument. Um Code-Fragmente und Skripte in [Python](https://www.python.org/), sowie ggf. bildliche Darstellungen direkt ins [Jupyter notebook](https://jupyter.org/) einzubinden verwandeln Sie diese Zelle in eine Code-Zelle. Fügen Sie ggf. weitere Code-Zellen zu.* \n", - "\n", - "---" - ] - }, - { - "cell_type": "markdown", - "id": "49e74e25-8555-4430-81e0-61bd0d31e112", - "metadata": {}, - "source": [ - "**D I S K U S S I O N**\n", - "\n", - "*Fügen Sie eine abschließende Diskussion und Bewertung Ihrer Lösung hier ein. Löschen Sie hierzu diesen kursiv gestellten Text aus dem Dokument.* \n", - "\n", - "---" - ] - }, - { - "cell_type": "markdown", - "id": "f32d0de1-eef2-41cb-aeb0-3bdb30213988", - "metadata": { - "jp-MarkdownHeadingCollapsed": true - }, - "source": [ - "# Beurteilung" - ] - }, - { - "cell_type": "markdown", - "id": "af348773-3ad3-4a87-a1db-0ccc611f883d", - "metadata": {}, - "source": [ - " * Nach Abschluss des Versuchs haben Sie die Möglichkeit diesen Versuch individuell zu beurteilen.\n", - " * **Folgen Sie zur Beurteilung dieses Versuchs diesem [Link](https://www.empirio.de/s/tYVstb2b5V)**.\n", - " * Beachten Sie, dass jede:r Studierende nur einmal pro Versuch eine Beurteilung abgeben kann.\n", - " * Wir empfehlen die Beurteilung nach der Besprechung Ihrer Versuchsauswertung mit Ihrem:r Tutor:in auszufüllen. " - ] - } - ], - "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": "3.11.10" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} -- GitLab