Flywheel Energy Calculator — Formule
## Flywheel Rotational Energy
A flywheel stores kinetic energy in its rotating mass.
### Formulas
**I = 0.5 m R^2** (moment of inertia for a solid disc)
**E = 0.5 I omega^2** (rotational kinetic energy)
where m is mass, R is outer radius, and omega = 2 pi N / 60 is angular velocity. The usable energy is the difference between energy at maximum and minimum operating speeds.
A flywheel stores kinetic energy in its rotating mass.
### Formulas
**I = 0.5 m R^2** (moment of inertia for a solid disc)
**E = 0.5 I omega^2** (rotational kinetic energy)
where m is mass, R is outer radius, and omega = 2 pi N / 60 is angular velocity. The usable energy is the difference between energy at maximum and minimum operating speeds.
Exemple Résolu
A 50 kg solid disc flywheel, 200 mm radius, spinning at 3000 RPM.
- R = 0.2 m
- I = 0.5 x 50 x 0.04 = 1.0 kg-m^2
- omega = 2 x pi x 3000 / 60 = 314.16 rad/s
- E = 0.5 x 1.0 x 314.16^2 = 49,348 J = 49.3 kJ