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     "text": [
      "Length: 143.2 mm\n",
      "Freq:   2.822 Hz\n"
     ]
    }
   ],
   "source": [
    "import math\n",
    "\n",
    "# Parameters\n",
    "spring_constant_n_mm = 1.1 * 4\n",
    "spring_length_resting_mm = 112\n",
    "\n",
    "def spring_length_at(weight):\n",
    "    return weight * 9.81 / spring_constant_n_mm + spring_length_resting_mm\n",
    "\n",
    "def resonant_freq_at(weight):\n",
    "    return 1 / (2 * math.pi) * math.sqrt(spring_constant_n_mm * 1000 / weight)\n",
    "\n",
    "# Environment\n",
    "weight_total_kg = 14\n",
    "\n",
    "print(f\"Length: {spring_length_at(weight_total_kg):.1f} mm\")\n",
    "print(f\"Freq:   {resonant_freq_at(weight_total_kg):.3f} Hz\")"
   ]
  },
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