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{
  "topic": "specific-impulse",
  "input_types": [
    "float",
    "float",
    "float"
  ],
  "input_labels": [
    "u",
    "g",
    "I𝗌𝗉"
  ],
  "input_descriptions": [
    "Effective exhaust velocity",
    "Acceleration due to gravity",
    "Specific Impulse"
  ],
  "input_units": [
    "m/s",
    "m/s<sup>2</sup>",
    "s"
  ],
  "formula_mathjax": "\\( I_{𝗌𝗉} = \\frac{ u }{ g } \\)",
  "input_values": [
    "",
    "9.8",
    ""
  ],
  "input_pre_msg": "Enter any two inputs and click on Calculate button",
  "type": "Calculate",
  "title": "Specific Impulse Calculator",
  "description": "Calculate the specific impulse of a rocket engine with our Specific Impulse Calculator. Input the thrust and propellant flow rate to get instant results. Perfect for students, engineers, and aerospace enthusiasts.",
  "category": "Rocketry",
  "template": "physics",
  "formulas": [
    {
      "parameters": [
        "u",
        "g"
      ],
      "outputs": [
        {
          "label": "I𝗌𝗉",
          "formula": " u * 10 / ( g * 10 ) ",
          "formula_mathjax": "\\( \\frac{ u }{ g } \\)"
        }
      ]
    }
  ],
  "content": "<h2>What is Specific Impulse?</h2><p>Specific impulse is a measure of the efficiency of a rocket or jet engine. It represents how much thrust is produced per unit of propellant consumed, indicating how effectively the engine uses fuel. The higher the specific impulse, the more efficient the engine.</p><h2>Calculating Specific Impulse</h2><p>Specific impulse (<strong>I<sub>sp</sub></strong>) can be calculated using the formula:</p><p class=\"formula_highlite\">\\( I_{sp} = \\frac{ u }{ g } \\).</p><p>In this formula, the parameters are defined as follows:</p><ul><li><strong>u</strong>: The exhaust velocity of the propellant, or the speed at which the gas exits the engine, measured in meters per second (m/s).</li><li><strong>g</strong>: The acceleration due to gravity, typically taken as 9.8 m/s².</li></ul><br><h2>Input and Output Combinations of the Specific Impulse Calculator</h2><p>Here are the input combinations available for the calculator, along with the formulas it uses to calculate the corresponding outputs.</p><div class=\"formula_sets\"><div class=\"formula_set set_1\"><span class=\"heading_side\">Calculator Inputs</span><span class=\"set_n\">Set #1</span><ul class=\"given\"><li><span class=\"input\">u</span> Effective exhaust velocity</li><li><span class=\"input\">g</span> Acceleration due to gravity</li></ul><p>For these given inputs,</p><span class=\"heading_side\">Outputs, Formulas</span><p>We calculate the following outputs:</p><ul class=\"find\"><li><span class=\"output_label\">Specific Impulse</span><span class=\"output\">\\(I𝗌𝗉 = \\)\\( \\frac{ u }{ g } \\)</span></li></ul></div></div><br><br><h2>Examples</h2>"
}