Calculus Version of Moment of Inertia
Reference from the original Physics I textbook.
- Calculus Version of Moment of Inertia
I = moment of inertia (kg·m²); ρ = density (kg/m³); d = perpendicular distance from the chosen rotation axis (m); dV = volume element (m³).
- Related Glossary Terms
- Index
Reviewed physics notes (1)
These corrections keep the original lesson’s purpose while fixing errors in the source edition.
- The d in ∫ρd²dV is not the diameter. — Reference 1
Glossary and deeper reading · 1 refreshers
These editorial refreshers supplement the reading. Definitions and examples are added guidance; original source wording and recorded answers remain in their original context.
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Rotational inertia
Rotational inertia measures how strongly a mass distribution resists a change in angular velocity about a specified axis. Mass farther from that axis contributes more strongly because each contribution depends on squared distance. For example, moving small masses outward along a rotating rod increases its rotational inertia without changing its total mass.