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Hooke's Law Spring Force — result sheet
Calculate the ideal restoring force and its magnitude from a linear spring constant and signed displacement.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Hooke's law is F = -k x. The negative sign makes the ideal restoring force oppose the signed displacement; the magnitude is |F|.
This calculator applies the one-dimensional ideal linear-spring relation to an entered spring constant and signed displacement. It returns both the signed restoring force and its magnitude while leaving spring selection, fatigue, nonlinear behavior, and mechanical safety outside the model.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Spring constant — N/m; Positive linear spring constant in newtons per metre.; minimum 1.0E-6; maximum 1000000000
- Signed displacement from equilibrium — m; Signed one-dimensional displacement from the equilibrium position.; minimum -1000; maximum 1000
Worked example
| Input | Value |
|---|---|
| Spring constant | 150 |
| Signed displacement from equilibrium | 0.05 |
A 150 N/m spring at +0.05 m has a restoring force of -7.5 N and a magnitude of 7.5 N.
Assumptions and limits
- The spring constant is positive, finite, and expressed in newtons per metre.
- Displacement is a signed one-dimensional distance from equilibrium in metres.
- The spring behaves linearly over the entered displacement and the sign convention is declared by the user.
- Spring mass, damping, preload, hysteresis, fatigue, material failure, and design approval are outside the calculation.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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