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Terminal velocity calculator

Balance weight against quadratic drag: terminal speed = √(2mg/(density × drag coefficient × area)).

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Balance weight against quadratic drag: terminal speed = √(2mg/(density × drag coefficient × area)).

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Precision and calculation record
Rounding changes displayed numbers, not the calculation. Text, fractions, matrices and CSV schedules keep their own formatting. Automatic keeps up to 12 significant digits, with money shown to cents where applicable.
Step-by-step calculation
Inputs are substituted below. Each line evaluates the next operation; intermediate values are displayed to 12 significant digits while the calculation uses full precision.
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    Formula and assumptions
    You supply fluid density and a suitable drag coefficient. Assumes constant quadratic drag and negligible buoyancy. Does not model tumbling, changing density, low-Reynolds-number flow or human fall safety.
    Automatic precision shows numbers to 12 significant digits. Thousands separators such as 1,000 are accepted; use a dot for decimals.
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    Using Terminal velocity calculator
    Balance weight against quadratic drag: terminal speed = √(2mg/(density × drag coefficient × area)).
    You supply fluid density and a suitable drag coefficient. Assumes constant quadratic drag and negligible buoyancy. Does not model tumbling, changing density, low-Reynolds-number flow or human fall safety.
    Next: Force calculator
    A worked example
    Example inputs: mass (kg) = 1, downward acceleration (m/s²) = 10, fluid density (kg/m³) = 1, drag coefficient = 1, frontal area (m²) = 2. Terminal speed (m/s) = 3.16227766017.
    Before you use the result
    You supply fluid density and a suitable drag coefficient. Assumes constant quadratic drag and negligible buoyancy. Does not model tumbling, changing density, low-Reynolds-number flow or human fall safety.
    Example results for mass (kg)
    These examples use Downward acceleration (m/s²): 10; Fluid density (kg/m³): 1; Drag coefficient: 1; Frontal area (m²): 2. They are reference calculations, not recommended settings.
    Mass (kg)Terminal speed (m/s)
    0.52.2360679775
    13.16227766017
    24.472135955
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    ToolOctopus. “Terminal velocity calculator.” Updated 2026-09-26. https://tooloctopus.com/terminal-velocity-calculator.
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