Elastic Potential Energy Calculator
Calculate the energy stored in springs and elastic materials
Elastic potential energy is calculated using Hooke's Law and the formula:
- EPE = (1/2) × k × x²
- k = spring constant in Newtons per meter (N/m)
- x = displacement from equilibrium in meters (m)
- EPE = elastic potential energy in Joules (J)
- For inch-pound units, multiply Joules by 8.85074579
This calculator handles all necessary unit conversions automatically.
Common Units:
- Spring Constant (k): Measured in Newtons per meter (N/m)
- Displacement (x): Measured in meters (m)
- Energy: Measured in Joules (J) or inch-pounds (in⋅lb)
Key Conversions:
- 1 Joule = 8.85074579 inch-pounds
- 1 N/m = 0.005710147 lbf/in
- 1 meter = 39.37008 inches
Elastic potential energy calculations are essential for:
- Spring design and selection
- Mechanical system analysis
- Suspension system design
- Energy storage systems
- Vibration analysis
- Sports equipment design
What is elastic potential energy?
Elastic potential energy is the energy stored in an object when it is deformed from its natural state, such as when a spring is compressed or stretched. This energy can be converted back into kinetic energy when the object returns to its original shape.
How does displacement affect elastic potential energy?
Displacement has a squared relationship with elastic potential energy, meaning doubling the displacement quadruples the stored energy. This makes displacement a critical factor in energy storage applications.
What is the spring constant?
The spring constant (k) is a measure of a spring's stiffness, indicating how much force is needed to compress or stretch it. A higher spring constant means more force is required for the same displacement, resulting in more stored energy.