Moment of Inertia Calculator — Fórmula
## Moment of Inertia
Moment of inertia (I) is the rotational analogue of mass. It depends on mass distribution relative to the rotation axis.
### Formulas by Shape
- **Solid Sphere:** I = (2/5) * m * r²
- **Hollow Sphere:** I = (2/3) * m * r²
- **Solid Cylinder/Disk:** I = (1/2) * m * r²
- **Thin Rod (center):** I = (1/12) * m * L²
Moment of inertia (I) is the rotational analogue of mass. It depends on mass distribution relative to the rotation axis.
### Formulas by Shape
- **Solid Sphere:** I = (2/5) * m * r²
- **Hollow Sphere:** I = (2/3) * m * r²
- **Solid Cylinder/Disk:** I = (1/2) * m * r²
- **Thin Rod (center):** I = (1/12) * m * L²
Ejemplo Resuelto
A solid sphere of mass 5 kg and radius 0.2 m.
- For a solid sphere: I = (2/5) * m * r²
- I = 0.4 * 5 * 0.04
- I = 0.4 * 0.2
- I = 0.08 kg·m²