transducer.ipynb

transducer.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": [],
      "authorship_tag": "ABX9TyNOFQA97RWOykjx+t00QmhX",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/gist/boulama/5e35ae81d6a21ea18ecd50731d2914a6/transducer.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "This notebook details how to convert the voltage received from the arduino in pressure both in PSI and kPA.\n",
        "\n",
        "We determine the m and c data for the linear relation between pressure and voltage."
      ],
      "metadata": {
        "id": "hJ9VS3e0E9BD"
      }
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "A5Gkq3qt-wy1"
      },
      "outputs": [],
      "source": [
        "import numpy as np"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "voltages = np.linspace(0, 5, 10)\n",
        "pressures = np.linspace(0, 5000, 10)"
      ],
      "metadata": {
        "id": "8UwIwBPx-0K4"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "A = np.vstack([voltages, np.ones(len(voltages))]).T\n",
        "A"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "_Kkbq-alAvEd",
        "outputId": "ff59660c-5cf8-4f2e-bc33-e3441a83bd3f"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[0.        , 1.        ],\n",
              "       [0.55555556, 1.        ],\n",
              "       [1.11111111, 1.        ],\n",
              "       [1.66666667, 1.        ],\n",
              "       [2.22222222, 1.        ],\n",
              "       [2.77777778, 1.        ],\n",
              "       [3.33333333, 1.        ],\n",
              "       [3.88888889, 1.        ],\n",
              "       [4.44444444, 1.        ],\n",
              "       [5.        , 1.        ]])"
            ]
          },
          "metadata": {},
          "execution_count": 3
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "m, c = np.linalg.lstsq(A, pressures, rcond=False)[0]"
      ],
      "metadata": {
        "id": "NW1bB8ANAwD8"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "m, c"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "QPEh0lQ4BiSK",
        "outputId": "43aff1f6-091b-427b-e906-7a16d51227bc"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(999.9999999999999, 5.913811846717936e-13)"
            ]
          },
          "metadata": {},
          "execution_count": 5
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "def find_pressure(v):\n",
        "  return (v - c)"
      ],
      "metadata": {
        "id": "I5Mc1AD8C_We"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "pressure_psi = find_pressure(2)\n",
        "pressure_pa = pressure_psi * 6_895E-3\n",
        "print('Pressure in PSI {}\\nPressure in KPa: {}'.format(pressure_psi, pressure_pa))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "TjWIoUJ9DXWp",
        "outputId": "2ef30f56-41ba-47a4-bba3-cd0039d2073e"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Pressure in PSI 1.9999999999994087\n",
            "Pressure in KPa: 13.789999999995922\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "xJWsaXlTDvKA"
      },
      "execution_count": null,
      "outputs": []
    }
  ]
}