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Engineering · Machine Design

Flywheel Energy and Inertia Workbench Calculator

Calculate stored rotational energy, usable energy between two speeds, or the ideal inertia required for an entered energy fluctuation.

Engineering · Machine Design

Enter the engineering model

Explicit properties, geometry, units and assumptions
  1. 1EnterProvide the known values
  2. 2CalculateResults update automatically
  3. 3VerifyReview the details and units
Try an example
Visual modelSchematic · not to scale
Machine Design: stored visual explanationA simplified diagram showing the relationship represented by the selected calculator mode. It is explanatory and not a fabrication, safety or scale drawing.rotational energy grows with I and ω²speed limits define usable energy
The diagram explains the selected relationship only. Dimensions, symbols and proportions are illustrative; use the entered values and stated assumptions for the calculation.

Keep every unit basis, sign convention, property source and idealization consistent. Values stay in this browser.

Engineering calculation result

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Understand the machine model

What this calculator is for

A flywheel stores kinetic energy in rotation. This workbench distinguishes total stored energy from the smaller usable energy exchanged between entered speed limits.

1Enter inertia and speeds in one unit basis.
2Separate stored energy from usable energy swing.
3Treat required inertia as an energy result—not a safe rotor design.

Visual explanation

Energy grows with inertia and with the square of angular speed. That is why the same rpm change matters more at a higher overall speed.

The governing relationship

E=½Iω²; ΔE=½I(ωmax²−ωmin²); required I=2ΔE/(ωmax²−ωmin²), with ω=2πn/60.

Keep the boundary visible

Rigid-body energy arithmetic only. Rim stress, burst containment, fatigue, bearings, balance, overspeed, material and safety factors remain outside scope.

Quick guide

How to use this calculator

  1. Choose the analysis mode that matches the physical model before entering values.
  2. Enter properties, geometry, loads, states and coefficients from one consistent unit and sign convention.
  3. Use the intermediate outputs to audit the relationship, then retain the stated idealization before applying it.

Calculation method

Transparent engineering model

E=½Iω²; ΔE=½I(ωmax²−ωmin²); required I=2ΔE/(ωmax²−ωmin²), with ω=2πn/60.

The calculator evaluates only the declared relationship and preserves visitor-entered assumptions rather than selecting materials, factors, components or standards.

Worked example

Worked example

A 10 kg·m² flywheel at 600 rpm stores about 19.739 kJ of ideal rotational kinetic energy.

E=½Iω²; ΔE=½I(ωmax²−ωmin²); required I=2ΔE/(ωmax²−ωmin²), with ω=2πn/60.

Supported inputs

Precision and limits

Analysis, not approval

Rigid-body energy arithmetic only. Rim stress, burst containment, fatigue, bearings, balance, overspeed, material and safety factors remain outside scope.

Standards and properties

Material properties, allowable values, load combinations, safety factors, correlations, manufacturer data, codes and jurisdictional requirements are not supplied automatically.

Units and precision

Use one consistent unit basis. Results retain working precision but cannot be more accurate than the entered measurements and properties.

Privacy

Entered engineering values and results stay in this browser and are not sent to analytics or third parties.