Moment of Inertia of a Cube
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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\( I_h = \frac {1}{12} \; m \; ( l^2 + w^2 ) \) \( I_l = \frac {1}{12} \; m \; ( h^2 + w^2 ) \) \( I_w = \frac {1}{12} \; m \; ( l^2 + h^2 ) \) |
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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 | \( in \) | \( mm \) |
Tags: Moment of Inertia