Hooke’s Law Calculator
Calculate spring force from spring constant and displacement.
Formula
Spring restoring force follows F = −kx; this tool reports the magnitude.
Understanding Hooke’s Law
Hooke’s law describes the restoring force of an ideal spring within its elastic range. The force magnitude is proportional to displacement from equilibrium, while the negative sign in F = −kx indicates that the spring force points opposite the displacement.
Example Calculation
A spring with k = 250 N/m stretched by 0.08 m produces a force magnitude of 250 × 0.08 = 20 N.
Factors and Interpretation
A stiffer spring has a larger spring constant and therefore produces more force for the same displacement. Hooke’s law is an approximation that works while the spring remains in its linear elastic region. Large deformation can permanently alter a spring and invalidate the simple relation.
Frequently Asked Questions
Why is there a negative sign in Hooke’s law?
It shows that restoring force acts in the direction opposite to displacement.
What does the spring constant measure?
It measures spring stiffness in newtons per meter.
Does Hooke’s law apply to every spring?
Only approximately and within the spring’s elastic operating range.
Related Tools
Formula and Practical Limits
Hooke’s law F = kx applies within a spring’s linear elastic range. Beyond that range, deformation may no longer be proportional to force and the spring can be permanently damaged.