Free Math Tool
Spring Settling Duration & Frequency Calculator
Because spring animations do not use fixed durations, this calculator solves the second-order differential equation to compute the precise settling time (to within 0.1% of resting position), natural frequency, and damping ratio.
Live Interactive Simulator
120 FPS GPU EnginePhysical Input Variables
Stiffness (k)400
Damping (c)25
Mass (m)1
Calculated Results
Settling Duration (to 1%)
0.37 seconds
Damping Ratio (ζ)
0.63
Frequency (Hz)
3.2 Hz
Generated Production Output
// Spring Settling Calculations
// Settling Time: 0.37s
// Damping Ratio (zeta): 0.63
// Natural Frequency: 3.2 Hz