 Online Calculators

# Elastic Potential Energy Calculator

Elastic Potential Energy Calculator
$$U = \dfrac{1}{2}k \Delta x^2$$
U =
elastic energy
units

## Calculator Use

This calculator finds the missing variable in the physics equation for Elastic Potential Energy U = ½kΔx², when two of the variables are known.

## Elastic Potential Energy Equation used in this Calculator

$$U = \dfrac{1}{2}k \Delta x^2$$

Where:
$$U$$ = elastic energy
$$k$$ = spring constant
$$\Delta x$$ = change is position (displacement)

The Elastic Potential Energy Calculator uses the formula U = ½kΔx² where U is the elastic energy, k is the spring constant and Δx is the change in position or displacement, such as the distance a spring is being stretched.

Potential Energy Units
used in this Calculator
Symbol
Unit Name
J
joule
kJ
kilojoule
MJ
megajoule
BTU
British thermal unit [IT]
cal
calorie
kcal
kilocalorie
W·h
watt-hour
kW·h
kilowatt-hour
eV
electronvolt
ft·lbf or ft·lb
foot-pound-force

## Elastic Potential Energy Calculations:

Solving for spring force, spring constant or spring displacement we use the following formulas:

Calculate U Given k and Δx
Calculate elastic energy given spring constant and change in position.

$$U = \dfrac{1}{2}k \Delta x^2$$

Calculate k Given U and Δx
Calculate the spring constant given elastic energy and change in position.

$$k = \dfrac{2U}{\Delta x^2}$$

Calculate Δx Given U and k
Calculate change in position given elastic energy and the spring constant.

$$\Delta x = \sqrt{ \dfrac{2U}{k} }$$

Cite this content, page or calculator as:

Furey, Edward "Elastic Potential Energy Calculator U = ½kΔx²" at https://www.calculatorsoup.com/calculators/physics/elastic-potential.php from CalculatorSoup, https://www.calculatorsoup.com - Online Calculators

Last updated: October 3, 2022