Mass Moment of Inertia Formula |
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\( I \;=\; k \cdot m \cdot r^2 \) (Mass Moment of Inertia) \( k \;=\; \dfrac{ I }{ m \cdot r^2 } \) \( m \;=\; \dfrac{ I }{ k \cdot r^2 } \) \( r \;=\; \sqrt{ \dfrac{ I }{ k \cdot m } }\) |
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| Symbol | English | Metric |
| \( I \) = Mass Moment of Inertia | \(lbm \;/\; in^2\) | \(kg \;/\; mm^2\) |
| \( k \) = Internal Constant (Depends on the Shape of the Object) | \(dimensionless\) | \(dimensionless\) |
| \( m \) = Mass | \(lbm\) | \(kg\) |
| \( r \) = Distance Between Axis and Rotating Motion | \(in\) | \(mm\) |
Mass moment of inertia, abbreviated as I, also called rotational inertia, is a property of a body that measures its resistance to a change in its rotational motion. Just as an object's mass resists a change in its linear motion (according to Newton's Second Law), the mass moment of inertia resists a change in its angular motion when a torque is applied. The relationship is similar, the torque applied to a rigid body is equal to its mass moment of inertia multiplied by its angular acceleration.
