Hooke’s Law Calculator – Find Spring Force

What is Hooke’s Law

Hooke’s Law is a fundamental principle in physics that describes the relationship between the force required to extend or compress an elastic spring and the distance of extension or compression. The law states that the force (F) needed to extend or compress a spring is directly proportional to the distance (x) from its equilibrium position, with the spring constant (k) being the proportionality factor. This relationship is expressed by the equation F = -kx, where the negative sign indicates that the force acts in the opposite direction to the displacement.

How to Use Spring Constant Calculator

1. Select the variable you want to calculate from the dropdown menu (Spring Force, Spring Constant, or Displacement).
2. Enter the spring constant (k) in Newtons per meter (N/m) if known.
3. Input the displacement (x) in meters (m) if known.
4. Click the calculate button to obtain your result.
5. Review the calculation explanation provided below the result, which shows how the value was derived using Hooke’s Law.
6. For different calculations, simply change the calculation type and input the known values accordingly.
7. Note that a positive displacement indicates extension, while a negative displacement indicates compression of the spring.
8. The calculator automatically handles the negative sign in Hooke’s Law equation to show the correct direction of the force.