Calculate the natural frequency of a single-degree-of-freedom mass-spring oscillator and estimate its damped frequency from damping ratio. This is the baseline vibration model behind many aerospace checks.
Natural frequency
10.066 Hz
63.246 rad/s
Damped frequency
10.064 Hz
63.233 rad/s
Period
0.0993 s
Undamped period
Single-degree-of-freedom oscillator
k = 20,000 N/m, m = 5.00 kg
Critical damping
632.46 N s/m
Damping coefficient
12.65 N s/m
Regime
underdamped
Damped free response
Oscillation decays with damping
This tool is open source and the underlying logic is fully transparent. You can inspect the code, understand the calculations, and contribute improvements. If you want to use the tool in your own website, course page, or learning platform, you can also embed it directly and start from a ready-made iframe setup for this exact tool.
Open source: review the implementation and see how the results are produced.
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Calculate the natural frequency of a single-degree-of-freedom mass-spring oscillator and estimate its damped frequency from damping ratio. This is the baseline vibration model behind many aerospace checks.
Natural frequency
10.066 Hz
63.246 rad/s
Damped frequency
10.064 Hz
63.233 rad/s
Period
0.0993 s
Undamped period
Single-degree-of-freedom oscillator
k = 20,000 N/m, m = 5.00 kg
Critical damping
632.46 N s/m
Damping coefficient
12.65 N s/m
Regime
underdamped
Damped free response
Oscillation decays with damping
This tool is open source and the underlying logic is fully transparent. You can inspect the code, understand the calculations, and contribute improvements. If you want to use the tool in your own website, course page, or learning platform, you can also embed it directly and start from a ready-made iframe setup for this exact tool.
Open source: review the implementation and see how the results are produced.
Embeddable: preview this tool, copy the iframe, and use it in your own site or LMS.