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Some euler laws, some pretty css

rorist 10 months ago
parent
commit
fd69a5fe03
2 changed files with 95 additions and 18 deletions
  1. 11 0
      rise.css
  2. 84 18
      slides.ipynb

+ 11 - 0
rise.css

@@ -0,0 +1,11 @@
+.rendered_html {
+    font-size: 40%;
+}
+.rendered {
+    font-size: 70%;
+}
+.rise-enabled .fa-times-circle:before,
+.rise-enabled .fa-question:before,
+.rise-enabled aside.controls {
+    opacity: 0.1;
+}

+ 84 - 18
slides.ipynb

@@ -8,7 +8,7 @@
     }
    },
    "source": [
-    "# Aerodynamic"
+    "# Aerodynamics"
    ]
   },
   {
@@ -25,16 +25,27 @@
   },
   {
    "cell_type": "markdown",
-   "metadata": {},
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
    "source": [
-    "## Newton laws\n",
+    "## Newton's laws of motion\n",
+    "\n",
     "### Net force is zero\n",
     "\\begin{equation}\n",
-    "\\sum \\mathbf {F} =0\\;\\Leftrightarrow \\;{\\frac {\\mathrm {d} \\mathbf {v} }{\\mathrm {d} t}}=0\n",
+    "\\mathbf{\\sum {F}} = 0\n",
     "\\end{equation}\n",
+    "\n",
     "### Change of momentum\n",
     "\\begin{equation}\n",
-    "\\mathbf {F} =m\\,{\\frac {\\mathrm {d} \\mathbf {v} }{\\mathrm {d} t}}=m\\mathbf {a}\n",
+    "\\mathbf{\\vec{F}} = m\\vec{a}\n",
+    "\\end{equation}\n",
+    "\n",
+    "### For every action, there is an equal and opposite reaction\n",
+    "\\begin{equation}\n",
+    "F_{A} = -F_{B}\n",
     "\\end{equation}"
    ]
   },
@@ -42,6 +53,56 @@
    "cell_type": "markdown",
    "metadata": {
     "slideshow": {
+     "slide_type": "notes"
+    }
+   },
+   "source": [
+    "First law:\tIn an inertial frame of reference, an object either remains at rest or continues to move at a constant velocity, unless acted upon by a force.\n",
+    "\n",
+    "Second law:\tIn an inertial frame of reference, the vector sum of the forces F on an object is equal to the mass m of that object multiplied by the acceleration a of the object: F = ma.\n",
+    "\n",
+    "Third law:\tWhen one body exerts a force on a second body, the second body simultaneously exerts a force equal in magnitude and opposite in direction on the first body."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "## Euler's laws of motion\n",
+    "### Linear momentum\n",
+    "\\begin{equation}\n",
+    "\\mathbf{p} = m{v} _{cm}\\\\\n",
+    "\\end{equation}\n",
+    "\n",
+    "\\begin{align}\n",
+    "\\textrm{with,}&\\\\\n",
+    "{p} &= \\textrm{Linear momentum}\\\\\n",
+    "m &= \\textrm{Mass of the object}\\\\\n",
+    "{v} _{\\rm {cm}} &= \\textrm{Velocity of its center of mass}\n",
+    "\\end{align}\n",
+    "\n",
+    "### Angular momentum\n",
+    "\n",
+    "\\begin{equation}\n",
+    "\\mathbf{M} = {dL \\over dt}\n",
+    "\\end{equation}\n",
+    "\n",
+    "\\begin{align}\n",
+    "\\textrm{with,}&\\\\\n",
+    "L &= \\textrm{Angular momentum}\\\\\n",
+    "M &= \\textrm{Sum of external moment of Forces}\\\\\n",
+    "t &= \\textrm{Time}\\FIXME\n",
+    "\\end{align}"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
      "slide_type": "slide"
     }
    },
@@ -52,10 +113,10 @@
     "\\end{equation}\n",
     "\\begin{align}\n",
     "\\textrm{with,}&\\\\\n",
-    "Cl &= \\textrm{lift coefficient}\\\\\n",
-    "r  &= \\textrm{air density}\\\\\n",
-    "V  &= \\textrm{velocity between object and air}\\\\\n",
-    "A  &= \\textrm{wing area}\n",
+    "Cl &= \\textrm{Lift coefficient}\\\\\n",
+    "r  &= \\textrm{Air density}\\\\\n",
+    "V  &= \\textrm{Velocity between object and air}\\\\\n",
+    "A  &= \\textrm{Wing area}\n",
     "\\end{align}"
    ]
   },
@@ -77,12 +138,17 @@
     "- flow speed (~angle of attack? type of airfoil?)\n",
     "\n",
     "- misconception\n",
-    "    - bernoulli effect is debunked (faster = lower pressure)"
+    "    - bernoulli effect is not THE explaination (faster = lower pressure)\n",
+    "    - It's a combination of effects\n",
+    "        - air compression at the tip of the wing\n",
+    "        - accelerate the air on one side (kind of bernouilli)\n",
+    "        - air is accelerated downward so the wing is pushed up\n",
+    "        -> conservation of mass, momentum and energy"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 33,
+   "execution_count": 3,
    "metadata": {
     "slideshow": {
      "slide_type": "fragment"
@@ -93,8 +159,8 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Cl=19.74\n",
-      "L=1088.12 [kN]\n"
+      "Cl = 19.74\n",
+      "L  = 1088.12 [kN]\n"
      ]
     }
    ],
@@ -103,14 +169,14 @@
     "\n",
     "angle = 180 * pi/180\n",
     "Cl = 2*pi*angle\n",
-    "r = 1.225 #kg/m3\n",
-    "V = 30 #m/s =~ 100km/h\n",
-    "A = 100 #m2\n",
+    "r = 1.225 # kg/m3\n",
+    "V = 30    # m/s =~ 100km/h\n",
+    "A = 100   # m2\n",
     "\n",
     "L = Cl*(r*V**2)*0.5*A\n",
     "\n",
-    "print('Cl={:.2f}'.format(Cl))\n",
-    "print('L={:.2f} [kN]'.format(L/1000))"
+    "print('Cl = {:.2f}'.format(Cl))\n",
+    "print('L  = {:.2f} [kN]'.format(L/1000))"
    ]
   },
   {