Natural Frequency Calculator (Mass-Spring)
f_n of a mass on a spring or mount — resonance avoidance 101.
Or from static sag: f_n = 15.76/√δ(mm) — same equation upside down. Keep machine speed at least √2 (better 3×) above f_n for isolation, or well below for rigid mounting.
Formula
Natural Frequency Calculator (Mass-Spring) is a free natural frequency for mechanical and machine-design engineers — instant, accurate and 100% client-side, with the governing formula and reference shown next to the result so the number can be defended, not just quoted.
About Natural Frequency Calculator (Mass-Spring)
f_n of a mass on a spring or mount — resonance avoidance 101. The calculation implements f_n = (1/2π)·√(k/m) (Den Hartog; vibration isolation). Or from static sag: f_n = 15.76/√δ(mm) — same equation upside down. Keep machine speed at least √2 (better 3×) above f_n for isolation, or well below for rigid mounting.
How to use Natural Frequency Calculator (Mass-Spring)
- 1Enter Stiffness in N/mm.
- 2Enter Mass in kg.
- 3Read Natural frequency, In rpm terms instantly — no submit button needed.
- 4Need US units? Flip the SI/Imperial toggle and every field converts.
Why use Natural Frequency Calculator (Mass-Spring)?
- ✓Implements the standard formula — f_n = (1/2π)·√(k/m)
- ✓Reference cited on-page: Den Hartog; vibration isolation
- ✓One-click SI ⇄ Imperial toggle — values convert in place, physics stays in SI
- ✓Live worked example: the substitution recomputes from your numbers
- ✓Runs entirely in your browser — nothing uploaded, free forever
Frequently asked questions
What formula does the Natural Frequency Calculator (Mass-Spring) use?+
It computes f_n = (1/2π)·√(k/m), per Den Hartog; vibration isolation. The formula is displayed under the result along with a worked example substituted with your own inputs.
What should I keep in mind when using this calculator?+
Or from static sag: f_n = 15.76/√δ(mm) — same equation upside down. Keep machine speed at least √2 (better 3×) above f_n for isolation, or well below for rigid mounting.
Is this suitable for machine design coursework?+
Yes — these are the exact Shigley/Machinery's-Handbook formulas, with the substitution shown step by step, so you can follow the worked example into your own calculation sheet.
Is the Natural Frequency Calculator (Mass-Spring) free to use?+
Yes — completely free, no sign-up, no limits. It runs client-side in your browser, so inputs stay private and results are instant even on slow connections.
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