From be07741afddc81810768907d0087ff767ce950aa Mon Sep 17 00:00:00 2001
From: goose4077 <156208098+goose4077@users.noreply.github.com>
Date: Thu, 23 Jan 2025 13:20:52 +0100
Subject: [PATCH] lol

---
 Aeromechanik/Aeromechanik.ipynb | 339 ++++++++++++--------------------
 Aeromechanik/Aufgabe 3/3.1.csv  |   6 +-
 2 files changed, 128 insertions(+), 217 deletions(-)

diff --git a/Aeromechanik/Aeromechanik.ipynb b/Aeromechanik/Aeromechanik.ipynb
index d2a0743..5aba439 100644
--- a/Aeromechanik/Aeromechanik.ipynb
+++ b/Aeromechanik/Aeromechanik.ipynb
@@ -109,7 +109,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 256,
+   "execution_count": 154,
    "id": "790c4e5e",
    "metadata": {},
    "outputs": [],
@@ -207,7 +207,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 257,
+   "execution_count": 155,
    "id": "05ee67d2",
    "metadata": {},
    "outputs": [
@@ -286,7 +286,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 258,
+   "execution_count": 156,
    "id": "2c6e6dd8-bcfa-407c-b07e-3bb7dcf8f358",
    "metadata": {},
    "outputs": [
@@ -357,7 +357,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 259,
+   "execution_count": 157,
    "id": "495e80a1",
    "metadata": {},
    "outputs": [
@@ -441,7 +441,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 260,
+   "execution_count": 158,
    "id": "749744d6",
    "metadata": {},
    "outputs": [
@@ -579,52 +579,10 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 261,
+   "execution_count": 159,
    "id": "38afd788",
    "metadata": {},
    "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "0      12\n",
-      "1      16\n",
-      "2      21\n",
-      "3      29\n",
-      "4      37\n",
-      "5      47\n",
-      "6      58\n",
-      "7      71\n",
-      "8      84\n",
-      "9      99\n",
-      "10    110\n",
-      "Name: Druck, dtype: int64\n",
-      "0       7\n",
-      "1      11\n",
-      "2      16\n",
-      "3      24\n",
-      "4      32\n",
-      "5      42\n",
-      "6      53\n",
-      "7      66\n",
-      "8      79\n",
-      "9      94\n",
-      "10    105\n",
-      "Name: Druck, dtype: int64\n",
-      "0      3.380617\n",
-      "1      4.237828\n",
-      "2      5.111013\n",
-      "3      6.259686\n",
-      "4      7.228063\n",
-      "5      8.280787\n",
-      "6      9.302183\n",
-      "7     10.380515\n",
-      "8     11.356918\n",
-      "9     12.388276\n",
-      "10    13.093073\n",
-      "Name: Druck, dtype: float64\n"
-     ]
-    },
     {
      "data": {
       "image/png": 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",
@@ -671,14 +629,14 @@
     "f = df22['Umdrehungen']\n",
     "uf = df22['uncert_f']\n",
     "p_22 = df22['Druck']\n",
-    "print(p_22)\n",
+    "#print(p_22)\n",
     "p_22 = p_22 - 5\n",
-    "print(p_22)\n",
+    "#print(p_22)\n",
     "up_22 = df22['uncert_p']\n",
     "up_luft = uarr(1.225,0.02)\n",
     "\n",
     "v_22 = (2*p_22/nomv(up_luft))**(1/2)\n",
-    "print(v_22)\n",
+    "#print(v_22)\n",
     "dv = up_22/(up_luft * v_22)\n",
     "\n",
     "fig,ax = plt.subplots(1, 1, figsize=(6, 4))\n",
@@ -729,7 +687,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 262,
+   "execution_count": 160,
    "id": "0d231e0a",
    "metadata": {},
    "outputs": [
@@ -753,7 +711,7 @@
    "source": [
     "**D I S K U S S I O N**\n",
     "\n",
-    "Durch den Fit lässt sich der zusammenhang: $v=((0.00470 \\pm 0.00026) * f + (1.29 \\pm 0.52)) \\, \\frac{m}{s}$ aufstellen.\n",
+    "Durch den Fit lässt sich der zusammenhang: $v=((0.00498 \\pm 0.00028) * f + (0.33 \\pm 0.57)) \\, \\frac{m}{s}$ aufstellen.\n",
     "\n",
     "---"
    ]
@@ -791,27 +749,36 @@
    "source": [
     "**V E R S U C H S B E S C H R E I B U N G**\n",
     "\n",
-    "Zunächst wird der Zusammenhang der Stirnfläche mit der resultierenden Kraft erstellt. Hierfür nutzen wir ein Objekt in 3 verschiedenen Ausführungen. In diesem Fall eine Kreisscheibe mit Radius r = 0.02 , 0.29 , 0.4 m\n",
+    "Zunächst wird der Zusammenhang der Stirnfläche mit der resultierenden Kraft erstellt. Hierfür nutzen wir ein Objekt in 3 verschiedenen Ausführungen. In diesem Fall eine Kreisscheibe mit Radius r = 0.040 , 0.056 , 0.080 m\n",
     "\n",
     "---"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 263,
+   "execution_count": 181,
    "id": "87966da7",
    "metadata": {},
    "outputs": [
     {
-     "ename": "TypeError",
-     "evalue": "unsupported operand type(s) for ** or pow(): 'list' and 'int'",
-     "output_type": "error",
-     "traceback": [
-      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
-      "\u001b[0;31mTypeError\u001b[0m                                 Traceback (most recent call last)",
-      "Cell \u001b[0;32mIn[142], line 9\u001b[0m\n\u001b[1;32m      6\u001b[0m F \u001b[38;5;241m=\u001b[39m df31[\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mfw in N\u001b[39m\u001b[38;5;124m'\u001b[39m]\n\u001b[1;32m      7\u001b[0m r \u001b[38;5;241m=\u001b[39m [\u001b[38;5;241m0.04\u001b[39m,\u001b[38;5;241m0.046\u001b[39m,\u001b[38;5;241m0.080\u001b[39m]\n\u001b[0;32m----> 9\u001b[0m A \u001b[38;5;241m=\u001b[39m \u001b[43mr\u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m2\u001b[39;49m\u001b[38;5;241m*\u001b[39mnp\u001b[38;5;241m.\u001b[39mpi\n\u001b[1;32m     11\u001b[0m plt\u001b[38;5;241m.\u001b[39mscatter(r,F, marker\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mx\u001b[39m\u001b[38;5;124m'\u001b[39m)\n\u001b[1;32m     12\u001b[0m plt\u001b[38;5;241m.\u001b[39mshow()\n",
-      "\u001b[0;31mTypeError\u001b[0m: unsupported operand type(s) for ** or pow(): 'list' and 'int'"
-     ]
+     "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 1200x500 with 2 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
     }
    ],
    "source": [
@@ -821,7 +788,7 @@
     "df31 = pd.read_csv('Aufgabe 3/3.1.csv')\n",
     "\n",
     "F = df31['fw in N']\n",
-    "r = [0.04,0.046,0.080]\n",
+    "r = df31['r in m']\n",
     "\n",
     "A = r**2*np.pi\n",
     "\n",
@@ -834,13 +801,30 @@
     "def mod32(A,p,v,c=0.0087,o=offset):\n",
     "    return c*0.5*p*A*v**2+o\n",
     "\n",
+    "def linmod(a,b):\n",
+    "    return a*b \n",
+    "\n",
+    "# xy_data = kafe2.XYContainer(x_data=A, y_data=F)\n",
+    "# # xy_data.add_error(axis='x',err_val=uf)\n",
+    "# xy_data.add_error(axis=\"y\",err_val= 0.02)\n",
+    "# linfit = kafe2.Fit(data=xy_data, model_function=vmod)\n",
+    "# linfit.add_parameter_constraint(name='b', value=0.33, uncertainty=0.5)\n",
+    "# linfit.add_parameter_constraint(name='f', value=2600, uncertainty=20)\n",
+    "# linfit.add_parameter_constraint(name='m', value=0.0047, uncertainty=0.00026)\n",
+    "# linfit.add_parameter_constraint(name='pluft', value=nomv(up_luft), uncertainty=stdv(up_luft))\n",
+    "# linfit.do_fit()\n",
+    "# linfit.data_container.label = 'Relation r und F'\n",
+    "# p = kafe2.Plot(linfit)\n",
+    "# p.x_label = 'A in m^2'\n",
+    "# p.y_label = 'Kraft in N'\n",
+    "# p.plot()\n",
+    "# p.show()\n",
+    "\n",
     "xy_data = kafe2.XYContainer(x_data=A, y_data=F)\n",
     "# xy_data.add_error(axis='x',err_val=uf)\n",
     "xy_data.add_error(axis=\"y\",err_val= 0.02)\n",
-    "linfit = kafe2.Fit(data=xy_data, model_function=vmod)\n",
-    "linfit.add_parameter_constraint(name='f', value=2600, uncertainty=20)\n",
-    "linfit.add_parameter_constraint(name='m', value=0.0047, uncertainty=0.00026)\n",
-    "linfit.add_parameter_constraint(name='pluft', value=nomv(up_luft), uncertainty=stdv(up_luft))\n",
+    "linfit = kafe2.Fit(data=xy_data, model_function=linmod)\n",
+    "\n",
     "linfit.do_fit()\n",
     "linfit.data_container.label = 'Relation r und F'\n",
     "p = kafe2.Plot(linfit)\n",
@@ -857,7 +841,9 @@
    "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",
+    "Die Verknüpfung von Fläche und resultierender Kraft ist $F = (28.13 \\pm 0.87) \\cdot A$. \n",
+    "\n",
+    "Der gefundene Wert Besteht hierbei aus $c_w$,$\\rho$,$v$ .\n",
     "\n",
     "---"
    ]
@@ -883,7 +869,7 @@
    "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",
+    "Auch die Form eines Objektes hat einen Großen Einfluss auf die Kraft. Diese wird angegeben durch den Wert $c_w$. Jedes Objekt hat einen eigenen $c_w$-Wert, unabhängig von der Größe diesen Objekts. Um den $c_w$ Wert der zuvor genutzten Kreisscheibe mit Radius $r=57\\,mm$ zu berechnen. Wird die resultierende Kraft abhängig von verschiedenen Geschwindigkeiten hinter der Turbine gemessen und in einem Fit aufgetragen.\n",
     "\n",
     "---"
    ]
@@ -903,94 +889,33 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 264,
+   "execution_count": 176,
    "id": "e976c8f1",
    "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "0.003+/-0.004\n",
-      "         f      p\n",
-      "0    605.0  0.020\n",
-      "1    802.0  0.025\n",
-      "2   1000.0  0.045\n",
-      "3   1220.0  0.060\n",
-      "4   1400.0  0.090\n",
-      "5   1600.0  0.120\n",
-      "6   1810.0  0.140\n",
-      "7   2000.0  0.170\n",
-      "8   2200.0  0.210\n",
-      "9   2410.0  0.260\n",
-      "10  2600.0  0.305\n"
-     ]
-    },
-    {
-     "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 1200x500 with 2 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "outputs": [],
    "source": [
     "offset32 = 0.01\n",
     "\n",
     "ur32 = uarr(0.029,0.02) #mittlere Schreibe gewählt\n",
     "uA32 = np.pi*ur32**2\n",
-    "print(uA32)\n",
+    "#print(uA32)\n",
     "df32 = pd.read_csv('Aufgabe 3/3.2.csv')\n",
-    "print(df32)\n",
+    "#print(df32)\n",
     "\n",
     "f32 = df32['f']\n",
     "p32 = df32['p'] - offset32\n",
-    "\n",
-    "plt.scatter(f32,p32,marker='x')\n",
-    "plt.show()\n",
-    "\n",
-    "def mod32(v,c,p,A):\n",
-    "    return c*0.5*p*A*v**2\n",
-    "def vmod2(f,c,A,m,pluft=nomv(up_luft)):\n",
-    "    return pluft/2*A*c*(f*m)**2\n",
-    "\n",
-    "xy_data = kafe2.XYContainer(x_data=f32, y_data=p32)\n",
-    "xy_data.add_error(axis='x',err_val=20)\n",
-    "# xy_data.add_error(axis=\"y\",err_val= up_22)\n",
-    "linfit = kafe2.Fit(data=xy_data, model_function=vmod2)\n",
-    "linfit.add_parameter_constraint(name='A', value=nomv(uA32), uncertainty=stdv(uA32))\n",
-    "linfit.add_parameter_constraint(name='pluft', value=nomv(up_luft), uncertainty=stdv(up_luft))\n",
-    "linfit.do_fit()\n",
-    "linfit.data_container.label = 'Relation r und F'\n",
-    "p = kafe2.Plot(linfit)\n",
-    "p.x_label = 'Umdrehungen'\n",
-    "p.y_label = 'Kraft in N'\n",
-    "p.plot()\n",
-    "p.show()"
+    "\n"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 265,
+   "execution_count": null,
    "id": "3d103ae7",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -1019,13 +944,14 @@
     "\n",
     "dvs = stdv((ftov*f32))\n",
     "\n",
-    "plt.scatter(v32, fw32)\n",
+    "plt.scatter(v32, fw32,marker='x')\n",
     "plt.xlabel(\"v in m/s\")\n",
     "plt.ylabel(\"fw in N\")\n",
     "plt.title(\"Widerstandskraft gegen Strömungsgeschwindigkeit\")\n",
     "plt.show()\n",
     "\n",
     "A1 = math.pi * r1**2\n",
+    "\n",
     "def vfmodel(v, cw = 1):\n",
     "    return cw/2*nomv(up_luft)*A1*v**2\n",
     "\n",
@@ -1049,7 +975,7 @@
    "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",
+    "Der $c_w$ der Kreisscheibe beträgt $=0.931\\pm0.041$\n",
     "\n",
     "---"
    ]
@@ -1079,43 +1005,64 @@
    "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": "81a02989-928f-4627-9411-fb247a717501",
-   "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",
+    "Im Folgenden wird der $c_w$-Wert von verschiedenen Modellautos und anderen Objeketen berechnet.\n",
     "\n",
     "---"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 266,
+   "execution_count": 199,
    "id": "df595b82",
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0.76+/-0.14\n",
+      "1.38+/-0.24\n",
+      "(6.6+/-0.4)e-09\n",
+      "(7.4+/-0.4)e-09\n",
+      "8.2+/-1.1\n"
+     ]
+    }
+   ],
    "source": [
     "df33 = pd.read_csv('Aufgabe 3/3.3.csv')\n",
     "\n",
     "obj = df33['Object']\n",
     "force = df33['Force']\n",
     "offset33 = df33['Offset']\n",
+    "v33 = ftov*uarr(2600,20)\n",
     "\n",
     "A_Chrysler = uarr(0.0003,0.00005) #m^2\n",
+    "Fw_Chrysler = uarr(force[0]-offset33[0],0.002)\n",
     "A_Jeep = uarr(0.0003,0.00005)\n",
+    "Fw_Jeep = uarr(force[3]-offset33[3],0.002)\n",
     "A_Drop = uarr(56e03,1e03)\n",
-    "A_Plane = uarr(7.853981634e-05,1e-05) #radius von 0.5 cm \n",
+    "Fw_Drop = uarr(force[1]-offset33[1],0.002)\n",
+    "Fw_Drop_backwards = uarr(force[2]-offset33[2],0.002)\n",
+    "A_Plane = uarr(7.853981634e-05,1e-05) #radius von 0.5 cm\n",
+    "Fw_Plane = uarr(force[4]-offset33[4],0.002) \n",
+    "\n",
+    "def cw_berechnung(Fw,A,rho=up_luft,v=v33):\n",
+    "    return 2*Fw/(rho*A*v**2)\n",
+    "\n",
+    "cw_Chrysler = cw_berechnung(Fw_Chrysler,A_Chrysler)\n",
+    "print(cw_Chrysler)\n",
+    "\n",
+    "cw_Jeep = cw_berechnung(Fw_Jeep,A_Jeep)\n",
+    "print(cw_Jeep)\n",
+    "\n",
+    "cw_Drop = cw_berechnung(Fw_Drop,A_Drop)\n",
+    "print(cw_Drop)\n",
     "\n",
-    "def cw_berechnung():\n",
-    "    return \n"
+    "cw_Drop_backwards = cw_berechnung(Fw_Drop_backwards,A_Drop)\n",
+    "print(cw_Drop_backwards)\n",
+    "\n",
+    "cw_Plane = cw_berechnung(Fw_Plane,A_Plane)\n",
+    "print(cw_Plane)\n"
    ]
   },
   {
@@ -1171,7 +1118,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 267,
+   "execution_count": 165,
    "id": "88043ad4",
    "metadata": {},
    "outputs": [
@@ -1182,12 +1129,16 @@
        "<IPython.core.display.Image object>"
       ]
      },
-     "metadata": {},
+     "metadata": {
+      "image/jpeg": {
+       "width": 500
+      }
+     },
      "output_type": "display_data"
     }
    ],
    "source": [
-    "display(Image(filename='Aufgabe 4/IMG_5560.JPG'))"
+    "display(Image(filename='Aufgabe 4/IMG_5560.JPG',width=500))"
    ]
   },
   {
@@ -1204,26 +1155,10 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 268,
+   "execution_count": 191,
    "id": "101f59a6",
    "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "   Degrees  Uncut  Lift in N  Drag in N\n",
-      "0       -8    0.5       0.15      0.120\n",
-      "1       -4    0.5       0.25      0.100\n",
-      "2        0    0.5       0.30      0.110\n",
-      "3        4    0.5       0.40      0.110\n",
-      "4        8    0.5       0.50      0.140\n",
-      "5       12    0.5       0.55      0.150\n",
-      "6       16    0.5       0.65      0.165\n",
-      "7       20    0.5       0.75      0.170\n"
-     ]
-    }
-   ],
+   "outputs": [],
    "source": [
     "offset_drag = 0.03\n",
     "offset_lift = 0.1\n",
@@ -1235,7 +1170,7 @@
     "Lift = df41['Lift in N'] - offset_lift  \n",
     "Drag = df41['Drag in N'] - offset_drag\n",
     "\n",
-    "print(df41)"
+    "# print(df41)"
    ]
   },
   {
@@ -1248,7 +1183,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 269,
+   "execution_count": 167,
    "id": "39018c4d",
    "metadata": {},
    "outputs": [
@@ -1289,7 +1224,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 270,
+   "execution_count": 168,
    "id": "0b69f649",
    "metadata": {},
    "outputs": [
@@ -1327,34 +1262,10 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 271,
+   "execution_count": 192,
    "id": "4cad23f7",
    "metadata": {},
    "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "0    0.555556\n",
-      "1    2.142857\n",
-      "2    2.500000\n",
-      "3    3.750000\n",
-      "4    3.636364\n",
-      "5    3.750000\n",
-      "6    4.074074\n",
-      "7    4.642857\n",
-      "dtype: float64\n",
-      "0    0.166094\n",
-      "1    0.628691\n",
-      "2    0.637377\n",
-      "3    0.945797\n",
-      "4    0.667378\n",
-      "5    0.630531\n",
-      "6    0.608095\n",
-      "7    0.667100\n",
-      "dtype: float64\n"
-     ]
-    },
     {
      "data": {
       "image/png": 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",
@@ -1371,8 +1282,8 @@
     "E = Lift/Drag\n",
     "ΔE = ((dfw/Drag)**2 + (dfa/Lift)**2)**(1/2) * E\n",
     "\n",
-    "print(E)\n",
-    "print(ΔE)\n",
+    "# print(E)\n",
+    "# print(ΔE)\n",
     "\n",
     "plt.scatter(φ, E)\n",
     "plt.errorbar(φ, E, ΔE, df41['Uncut'], ls=\"none\")\n",
@@ -1384,7 +1295,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 272,
+   "execution_count": 170,
    "id": "b0b222c0",
    "metadata": {},
    "outputs": [
@@ -1452,7 +1363,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 273,
+   "execution_count": 171,
    "id": "49025394",
    "metadata": {},
    "outputs": [
@@ -1507,7 +1418,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 274,
+   "execution_count": 172,
    "id": "9aebbc00",
    "metadata": {},
    "outputs": [],
@@ -1532,7 +1443,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 275,
+   "execution_count": 173,
    "id": "b7f446b7",
    "metadata": {},
    "outputs": [
diff --git a/Aeromechanik/Aufgabe 3/3.1.csv b/Aeromechanik/Aufgabe 3/3.1.csv
index 0b66c4b..81894cf 100644
--- a/Aeromechanik/Aufgabe 3/3.1.csv	
+++ b/Aeromechanik/Aufgabe 3/3.1.csv	
@@ -1,4 +1,4 @@
 r in m,fw in N
-0.02,0.16
-0.29,0.32
-0.4,0.54
+0.04,0.16
+0.056,0.32
+0.080,0.54
-- 
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