ClarityHow to use this tool
- Enter mass, spring stiffness, viscous damping.
- Select Calculate to view the result.
- Check the method and assumptions below before using the result.
The method, explained
Natural angular frequency = sqrt(k/m); damping ratio ζ=c/(2sqrt(km)); damped frequency = ωn sqrt(1−ζ²)/(2π) for ζ<1.
Using mass = 1 kg, spring stiffness = 100 N/m, viscous damping = 2 N·s/m, the result is 1.58357169 Hz. Change these example inputs to match your task; use the method above to check each step.
Understanding your result
Linear viscous damping and free vibration. Critical and overdamped systems do not have an oscillatory damped frequency.
What to keep in mind
Linear viscous damping and free vibration. Critical and overdamped systems do not have an oscillatory damped frequency. An idealized educational model using the stated SI units. Real systems may need additional forces, losses or experimental measurements. Not a safety or equipment specification.
Common questions
How do I use this damped natural frequency calculator?
Find damped frequency and damping ratio for a mass–spring–damper system. Enter mass in kg, spring stiffness in N/m, viscous damping in N·s/m. The starting example is editable; use values for the same system or project.
Which assumptions affect this result?
Linear viscous damping and free vibration. Critical and overdamped systems do not have an oscillatory damped frequency.
Methodology maintained by ClarityKit. How these tools are built and checked.