Calculadora da Lei de Hooke
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
F = k·x
About this calculator
The Hooke's Law Calculator allows you to determine the restoring force exerted by an ideal spring when deformed. The formula F = k·x relates the force (F) to the spring constant (k) and the deformation (x), which can be compression or extension. This tool is useful for physics and engineering students, as well as professionals working with mechanical systems involving springs.
To use the calculator, enter the spring constant (in N/m) and the deformation (in meters). The result is the force in newtons. The spring constant depends on the material and geometry of the spring, while the deformation is the difference between the current length and the natural length. Remember that Hooke's law is valid only within the elastic limit of the material.
When to use this calculator? In engineering projects for spring design, in physics labs to verify the force-deformation relationship, or in everyday life to calculate the force needed to compress a suspension spring. It is essential for understanding oscillatory systems, such as pendulums and dampers.
Cautions: Hooke's law is a linear approximation. For deformations beyond the elastic limit, the spring may permanently deform or break. Ensure that the deformation is within the elastic range. Also, the spring constant can vary with temperature and wear. Always use consistent units (meters and newtons per meter) to avoid errors.
Frequently asked questions
What is the spring constant?
It is a measure of the spring's stiffness. The higher the value, the more force is needed to deform it. Its SI unit is N/m.
Can I use the calculator for non-linear springs?
No. Hooke's law is only valid for linear springs within the elastic limit. For non-linear springs, the force-deformation relationship is more complex.
What is the difference between compression and extension in Hooke's law?
The formula is the same, but the sign of the deformation indicates the direction. The restoring force always acts opposite to the deformation.
How do I convert deformation from centimeters to meters?
Divide the value in centimeters by 100. For example, 5 cm = 0.05 m. The calculator expects values in meters.
What happens if I exceed the spring's elastic limit?
The spring will permanently deform or break. Hooke's law no longer applies, and the calculated force will be inaccurate.