Mechanical Engineering
Flywheel Energy Simulator
Examine the rotational mechanics of a kinetic energy storage system (flywheel). Adjust mass, radius, and speed, and toggle material choices to understand inertia, tip speed limits, and rotational stress safety boundaries.
Rotor Shape
Solid Cylinder
Isotropic density
Stress Model
Plane Stress
Hoop & Radial
Output Format
CSV Data
Export ready
Parameters
Material Preset
Speed Acceleration Sweep
Rotational Governing Equations
Moment of Inertia
I = 0.5 * M * R^2
Rotational Kinetic Energy
E = 0.5 * I * omega^2
Peak Centrifugal Stress
sigma_max = ((3 + v)/8) * rho * omega^2 * R^2
For a constant mass, a larger radius increases Moment of Inertia quadratically, improving energy capacity but increasing center stresses.
Current design has a disc thickness of 8.1 mm.
Kinetic Rotor Visualizer
Kinetic Energy
77.11kJ
Moment of Inertia
6.25kg·m²
Rim Speed
78.5m/s
Safety Factor
20.03
Safe design limits
Energy & Peak Stress vs Speed
Rotational Grid Data
| Speed (RPM) | Energy (kJ) | Stress (MPa) |
|---|---|---|
| 0 | 0.00 | 0.00 |
| 180 | 1.11 | 0.29 |
| 360 | 4.44 | 1.15 |
| 540 | 9.99 | 2.59 |
| 720 | 17.77 | 4.60 |
| 900 | 27.76 | 7.19 |
| 1080 | 39.97 | 10.36 |
| 1260 | 54.41 | 14.09 |
| 1440 | 71.06 | 18.41 |
| 1620 | 89.94 | 23.30 |
| 1800 | 111.03 | 28.76 |
| 1980 | 134.35 | 34.80 |
| 2160 | 159.89 | 41.42 |