Natural Frequency Calculator

Your details

Choose the structural or mechanical system whose first natural frequency you want to find.
Total oscillating mass of the system.
kg
Linear spring constant k.
N/m
Natural frequencyLow frequency (1-10 Hz)
1.5915Hz

Cycles per second (Hz)

Angular frequency10rad/s
Period0.6283s
Equivalent RPM95.49rpm
Static deflection98.0665mm
1.5915 Hz
Sub-1 Hz<1Low (1-10 Hz)1-10Mid (10-100 Hz)10-100High (>100 Hz)100+

Natural frequency of this spring-mass system: 1.5915 Hz

  • The angular natural frequency is 10.000 rad/s, equivalent to 95.5 RPM.
  • One complete oscillation takes 0.6283 seconds.
  • The static deflection under gravitational load is 98.066 mm. Note: fn = (1/2pi) * sqrt(g / delta_static) is a useful cross-check.
  • Frequencies below 2 Hz can overlap with human footfall excitation (1-3 Hz) and may warrant a vibration serviceability check.

Next stepCompare this frequency against expected excitation sources (machinery RPM / 60, footfall, wind) to assess resonance risk. Apply a safety factor of at least 1.2 separation between natural and excitation frequencies.

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