About Hooke's Law

Hooke's Law states that the force needed to extend or compress a spring is proportional to the displacement. This calculator helps engineers and students quickly determine spring forces for mechanical designs and physics problems.

Calculation Steps:

Determine spring constant (k) from specifications or testing
Measure displacement from neutral position
Multiply k and displacement
Apply negative sign for direction convention

Examples:

Car suspension: k = 20000 N/m, x = 0.05 m → F = -1000 N
Mechanical pen: k = 150 N/m, x = 0.02 m → F = -3 N

Spring Type	Constant Range (N/m)
Light extension	10 - 100
Automotive	10,000 - 50,000
Industrial	100,000 - 500,000

Important Notes:

Hooke's Law applies only within elastic deformation limits
Real springs may exhibit non-linear behavior near limits
Always verify spring specifications with manufacturer data

F = -k·x Where: F = Spring force (N or lbf) k = Spring constant (N/m or lbf/in) x = Displacement from equilibrium (m or in) Assumptions: - Linear elastic behavior (Hookean spring) - Small deformations within proportional limit - Massless spring idealization - Quasi-static conditions

Spring Force Calculator

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Force Sensitivity

About Hooke's Law

Calculation Steps:

Examples:

Important Notes:

Frequently Asked Questions

Formulas & Assumptions

References

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