Calculadora de Momento de Inercia — Formula

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

    • Exemplo Resolvido

    A solid sphere of mass 5 kg and radius 0.2 m.

    1. For a solid sphere: I = (2/5) * m * r²
    2. I = 0.4 * 5 * 0.04
    3. I = 0.4 * 0.2
    4. I = 0.08 kg·m²