Spring Constant Calculator
Calculate spring constant (k) using Hooke's law, elastic potential energy, or simple harmonic motion period.
Input Values
50 N
0.1 N1,000 N
N
0.1 m
0.001 m1 m
m
1 kg
0.1 kg100 kg
kg
Spring Constant
500.0000 N/m
UPotential Energy
2.5000 J
ωNatural Frequency
22.3607 rad/s
TPeriod
0.2810 s
Formula Used:
k = F / x
What is Spring Constant?
The spring constant (k), also known as the stiffness coefficient, is a measure of how stiff a spring is. According to Hooke's Law, the force required to compress or extend a spring is directly proportional to the displacement from its equilibrium position. A higher spring constant means a stiffer spring that requires more force to stretch or compress by the same amount. The SI unit is Newtons per meter (N/m).
Spring Constant Formulas
Hooke's Law
k = F / x
Force divided by displacement
From Energy
k = 2U / x²
From elastic potential energy
From SHM
k = (2π/T)²m
From oscillation period