Elastic Potential Energy Calculator
Find the energy stored in a stretched/compressed spring.
A spring stores energy when stretched or compressed.
How the Math Works
The Elastic Potential Energy Calculator uses the formula PE = ½ k x² to determine the energy stored in a spring. Here, PE represents the potential energy in joules, k is the spring constant measured in newtons per meter, and x is the displacement from the equilibrium position in meters. The formula shows that energy increases with the square of displacement, meaning doubling the stretch results in four times the stored energy. The factor of one-half ensures the calculation accurately reflects the work done to deform the spring linearly.
Practical Applications
To use this calculator, measure the spring constant by applying known forces and measuring displacement, or consult manufacturer specifications. Measure how far you've stretched or compressed the spring from its natural length. Input these values into the formula or calculator to determine the stored energy. This calculation is essential in engineering when designing suspension systems, mechanical clocks, or any device using spring mechanisms to ensure proper energy storage and release.
Day-to-Day Use
Understanding elastic potential energy helps explain everyday phenomena like why car suspensions absorb bumps, why pogo sticks bounce, or how mechanical pencils work. When you compress a spring in a retractable pen or stretch a rubber band, you're storing energy that will convert back to motion when released. This knowledge helps in DIY projects, understanding sports equipment like tennis ball machines, or even troubleshooting why a spring-loaded door closer might malfunction due to excessive or insufficient stored energy.
Worked example
k 200 N/m, x 0.1 m → 1 J.
FAQ
Hooke's law?
The force is F = kx; the stored energy is the area under that line, ½kx².