Moment of Inertia
Result
Moment of Inertia 0.2500 kg⋅m²
Object disk
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