Use this engineering calculation for a transparent preliminary estimate or independent arithmetic check when geometry, materials, loads, operating conditions, and units are defined consistently.

Stiffness Newtons Per Meter (N/m)

Required number input.

Mass Kilograms (kg)

Required number input.

Undamped natural frequency of an ideal single-degree-of-freedom spring–mass system. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.^[1]

Frequency Hertz (Hz)

The resulting frequency hertz returned as a number.

• A spring–mass natural frequency assumes linear stiffness, lumped mass, small motion, and the selected boundary condition. Damping, distributed mass, preload, nonlinear geometry, multiple degrees of freedom, and contact can shift resonances.
• Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Check assumptions against drawings, measurements, current material data, and the applicable design code. Apply required load combinations and safety factors, then obtain qualified review and testing for consequential designs.

• Critical Damping Coefficient

  Critical viscous damping coefficient ccrit=2√(km) for a single-degree-of-freedom spring–mass system.

• Damping Ratio

  Viscous damping ratio c/(2√km) for an ideal mass–spring–damper system.

• Power Factor Correction Capacitor

  Ideal single-phase shunt capacitance needed to raise lagging power factor at fixed real power, RMS voltage and frequency.