Hooke Law Elastic Potential Relation
Hooke Law Elastic Potential Relation
\[E_p = \frac{1}{2}kx^2\]
Variables
Ep = elastic potential energy (J)
k = spring constant (N/m)
x = spring displacement (m)
Description
What is this formula?
This equation calculates the elastic potential energy stored in a spring or elastic element according to Hooke's Law.
When to use it
Use this formula when analyzing springs, elastic deformation, vibration systems, oscillatory motion, or energy storage in mechanical systems.
Example
A spring with constant 300 N/m is compressed by 0.05 m.
Data:
k = 300 N/m
x = 0.05 m
Formula:
Ep = 0.5*k*x²
Substitution:
Ep = 0.5*300*0.05²
Result:
Ep = 0.375 J
Applications
Mechanical engineering, vibration systems, suspension systems, energy storage devices, robotics, and oscillation analysis.
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