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Critical damping coefficient calculator
Find the critical viscous damping coefficient for a single mass-spring oscillator.
On this page
Critical damping coefficient20N·s/m
Undamped natural frequency0.8Hz
Calculator controls
How to calculate
Find the critical viscous damping coefficient for a single mass-spring oscillator.
Critical damping coefficient = 2*sqrt(m*k) N·s/m; Undamped natural frequency = sqrt(k/m)/(2*pi) Hz
Worked example
Oscillating mass (kg): 2; Spring stiffness (N/m): 50.
Critical damping coefficient: 20 N·s/m; Undamped natural frequency: 0.8 Hz.
Assumptions and limits
Assumes a linear single-degree-of-freedom oscillator with viscous damping. Critical damping is a model threshold, not a component specification.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Find the critical viscous damping coefficient for a single mass-spring oscillator.
When this tool is useful
Critical damping coefficient = 2*sqrt(m*k) N·s/m; Undamped natural frequency = sqrt(k/m)/(2*pi) Hz
Understanding your inputs
| Input | What to enter |
|---|---|
| Oscillating mass (kg) | Enter a number of at least 1e-12 and no more than 1000000000000. |
| Spring stiffness (N/m) | Enter a number of at least 1e-12 and no more than 1000000000000. |
Frequently asked questions
What assumptions does this calculation use?
Assumes a linear single-degree-of-freedom oscillator with viscous damping. Critical damping is a model threshold, not a component specification.
How is the result calculated?
Critical damping coefficient = 2*sqrt(m*k) N·s/m; Undamped natural frequency = sqrt(k/m)/(2*pi) Hz