Elastic Potential Energy Calculator (Ep=½kx²)
Compute elastic potential energy via Ep = ½kx²: enter stiffness and deformation to get joules and the maximum release velocity.
Key points
Elastic Potential Energy Calculator (Ep=½kx²): Compute elastic potential energy via Ep = ½kx²: enter stiffness and deformation to get joules and the maximum release velocity. Formula: Ep = ½·k·x². Enter parameters on the DD-CAT IDE online tool page to get results instantly, with a calculation-model diagram that updates with the inputs. Ep = ½kx²: stored elastic energy scales with the square of deformation; unit J. Energy transfer: on release, elastic energy converts to kinetic energy, maximum velocity v = √(2Ep/m) (ignoring friction and spring mass).
Inputs
Ep = ½·k·x²Calculation model (updates with parameters)
| Elastic potential energy Ep | 2 J | Ep = ½·k·x² |
| Maximum spring force F | 200 N | F = k·x (at maximum deformation) |
| Maximum release velocity | 2m/s | v = √(2Ep/m), when all energy is transferred |
Engineering notes
- Ep = ½kx²: stored elastic energy scales with the square of deformation; unit J.
- Energy transfer: on release, elastic energy converts to kinetic energy, maximum velocity v = √(2Ep/m) (ignoring friction and spring mass).
- Real springs have damping and friction, so efficiency < 100%; energy-storage mechanisms (mainsprings, shock absorbers) are often estimated this way.
FAQ
- What is Elastic Potential Energy Calculator (Ep=½kx²) for?
- Compute elastic potential energy via Ep = ½kx²: enter stiffness and deformation to get joules and the maximum release velocity.
- What is the formula for Elastic Potential Energy Calculator (Ep=½kx²)?
- Core formula: Ep = ½·k·x². The tool returns results instantly using this formula and the selected parameters.
- What engineering notes should I keep in mind when using Elastic Potential Energy Calculator (Ep=½kx²)?
- Ep = ½kx²: stored elastic energy scales with the square of deformation; unit J. Energy transfer: on release, elastic energy converts to kinetic energy, maximum velocity v = √(2Ep/m) (ignoring friction and spring mass). Real springs have damping and friction, so efficiency < 100%; energy-storage mechanisms (mainsprings, shock absorbers) are often estimated this way.