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THE FEUTEX TOOLKIT

Flywheel Speed Fluctuation

Estimate inertia needed to buffer specified cyclic energy fluctuation.

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FormulaI=ΔE/(Cs ω²); thin-rim mass=I/r².
Sources and model references

Worked example

Inputs

Peak-to-peak energy fluctuation
1000 J
Mean speed
600 rpm
Speed fluctuation coefficient
0.02
Ideal thin-rim radius
0.5 m

Expected results

Required ideal inertia
12.66514796 kg·m²
Equivalent thin-rim mass
50.66059182 kg
Peak-to-peak speed variation
12 rpm

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter every input in the labeled units; use measured or independently specified properties.
  2. Check the stated model assumptions before calculating.
  3. Interpret the output as a model estimate and verify it independently for the intended application.

Try this example

{
  "energy": 1000,
  "rpm": 600,
  "coefficient": 0.02,
  "radius": 0.5
}

Accuracy and scope

Small cyclic speed variation; equivalent mass assumes a thin rim and is not rotor-stress design. Educational engineering estimate only; not structural or safety certification, equipment selection, or operating recommendations.

Is my data uploaded?

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