Spring constant calculator

Spring constant = force magnitude ÷ extension magnitude.

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Answer

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Spring constant = force magnitude ÷ extension magnitude.

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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

    Hooke’s law applies only in the spring’s linear elastic range; this result does not establish that range.

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    Using Spring constant calculator

    Spring constant = force magnitude ÷ extension magnitude.

    Hooke’s law applies only in the spring’s linear elastic range; this result does not establish that range.

    Next: Elastic potential energy calculator

    A worked example

    With force magnitude (n) = 30, extension magnitude (m) = 0.1, the spring constant (n/m) is 300.

    Before you use the result

    Hooke’s law applies only in the spring’s linear elastic range; this result does not establish that range.

    Example results for force magnitude (n)

    These examples use Extension magnitude (m): 0.1. They are reference calculations, not recommended settings.

    Force magnitude (N)Spring constant (N/m)
    15150
    30300
    60600
    Cite this page

    ToolOctopus. “Spring constant calculator.” Updated 2026-09-26. https://tooloctopus.com/spring-constant-calculator.

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