This calculation is for the moment of inertia of a cube. For the purposes of this calculation, a cube can have three equal sides or it can have three non-equal sides. The moment of inertia is calculated three different ways, about the center of the Iheight, Iwidth and about the end Ilength directions: Z-axis, Y-axis and X-axis, respectively.
Moment of Inertia of a Cube Formulas |
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\( I_h \;=\; \dfrac {1}{12} \cdot m \cdot ( l^2 + w^2 ) \) \( I_l \;=\; \dfrac {1}{12} \cdot m \cdot ( h^2 + w^2 ) \) \( I_w \;=\; \dfrac {1}{12} \cdot m \cdot ( l^2 + h^2 ) \) |
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| Symbol | English | Metric |
| \( I \) = Moment of Inertia | \(lbm \;/\; ft^2-sec\) | \(kg \;/\; m^2\) |
| \( h \) = Height | \( in \) | \( mm \) |
| \( l \) = Length | \( in \) | \( mm \) |
| \( m \) = Mass | \( lbm \) | \( kg \) |
| \( w \) = Width | \( in \) | \( mm \) |
