Spring Constant Calculator (k = F/x)
k = F / x. Determine spring stiffness from a known force and displacement.
Result
Spring constant
500.000 N/m
Period for 1 kg mass: 0.281 s.
- Applied force50 N
- Displacement0.1 m
- Spring constant k500.0000 N/m
- k in N/cm5.0000
- Period (1 kg, m on spring)0.2810 s
Step-by-step
- k = F / x = 50 / 0.1 = 500.0000 N/m.
- T = 2π √(m/k) for spring oscillator; for m = 1 kg: 0.2810 s.
How to use this calculator
- Apply known force.
- Measure displacement.
- Read k.
About this calculator
Spring constant k measures stiffness: how much force per unit displacement. Stiff springs (k = 1000+ N/m): door closers, car suspension. Soft springs (k = 1-50 N/m): toys, foam. Determine experimentally by hanging a known weight and measuring stretch. The relationship F = kx (Hooke's) is a defining property — non-Hookean materials require more complex models.
Frequently asked
For ideal springs in elastic region, exact. Real springs may be slightly nonlinear at extremes; linearize around operating point.
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