Elastic Potential Energy Calculator Formula
Understand the math behind the elastic potential energy calculator. Each variable explained with a worked example.
Formulas Used
Elastic Potential Energy
elastic_pe = 0.5 * spring_constant * pow(displacement, 2)Variables
| Variable | Description | Default |
|---|---|---|
spring_constant | Spring Constant (k)(N/m) | 200 |
displacement | Displacement from Equilibrium(m) | 0.1 |
How It Works
Elastic Potential Energy
Energy stored in a deformed elastic object (like a spring) follows Hooke's law.
Formula
PE = (1/2) * k * x²
where k is the spring constant and x is the displacement from the natural length.
Worked Example
A spring with k = 200 N/m is compressed 0.1 m.
spring_constant = 200displacement = 0.1
- 01PE = 0.5 * k * x²
- 02PE = 0.5 * 200 * 0.01
- 03PE = 1 J
Ready to run the numbers?
Open Elastic Potential Energy Calculator