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Elastic Potential Energy — result sheet
Calculate the elastic potential energy stored in an ideal linear spring from its spring constant and displacement.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Elastic potential energy U = 0.5 k x^2 for an ideal linear spring, where k is spring constant and x is displacement from equilibrium. This is an ideal linear-spring relation only.
This calculator evaluates the energy stored by an ideal linear spring at an entered displacement from equilibrium. The squared displacement makes the result nonnegative and independent of direction, but the page does not select a spring or provide spring safety advice.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Spring constant — N/m; Finite nonnegative ideal linear-spring constant.; minimum 0; maximum 1000000000000
- Displacement from equilibrium — m; Finite signed displacement in metres.; minimum -1000000; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Spring constant | 200 |
| Displacement from equilibrium | 0.1 |
Ideal elastic potential energy is 1 J.
Assumptions and limits
- Spring constant is a finite nonnegative value in N/m and displacement is a finite signed distance in metres measured from the chosen equilibrium position.
- The spring follows a linear force-displacement relation over the entered displacement and is treated as conservative with zero elastic energy at equilibrium.
- This is an ideal linear-spring textbook relation only. Spring selection, fatigue, buckling, failure, installation, and safety advice 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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