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Critical Damping Calculator — result sheet
Calculate critical damping, damping ratio, and ideal damping regime for a mass-spring system.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: ccrit=2√(km); damping ratio ζ=c/ccrit.
The entered coefficient is compared with the critical value to classify under-, critical, or over-damped ideal motion.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Mass — kg; minimum 1.0E-6; maximum 1000000
- Spring constant — N/m; minimum 1.0E-6; maximum 1000000
- Damping coefficient — N·s/m; minimum 0; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Mass | 1 |
| Spring constant | 100 |
| Damping coefficient | 5 |
Critical damping = 20 N·s/m; damping ratio = 0.25; regime = underdamped.
Assumptions and limits
- Mass and spring constant are positive SI quantities and damping coefficient is nonnegative.
- The oscillator is linear with viscous damping and one degree of freedom.
- Nonlinear friction, forcing, coupling, structural limits, and transient amplitudes are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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