Moment of Inertia

Calculate moment of inertia (rotational resistance). Formula: I = Σ(m_i × r_i²). For uniform disk: I = 0.5MR²; uniform rod: I = (1/12)ML²

Formula

Disk: I = 0.5MR² | Rod: I = (1/12)ML² | Sphere: I = (2/5)MR² | Point: I = MR²

2 kg disk, r=0.5 m

Inputs
  • Object Type: disk
  • Mass (kg): 2
  • Radius or Length (m): 0.5

I = 0.5 × 2 × 0.5² = 0.25 kg⋅m²

Frequently asked questions

What is MOI?
Rotational resistance; affects angular acceleration like mass affects linear acceleration