This calculation is for the moment of inertia of a thin rod. For the purposes of this calculation, a thin rod is one where the diameter of the rod is neglible. The moment of inertia is calculated two different ways, about the center Ic and about the end Ie.
Moment of Inertia of a Thin Rod Formula, End Axis |
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\( I_e \;=\; \frac{1}{3} \; m \; l^2 \) (End Axis) \( I_c \;=\; \frac{1}{12} \; m \; l^2 \) (Center Axis) |
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| Symbol | English | Metric |
| \(\large{ I }\) = Moment of Inertia | \(lbm \;/\; ft^2-sec\) | \(kg \;/\; m^2\) |
| \(\large{ l }\) = Length | \( in \) | \( m \) |
| \(\large{ m }\) = Mass | \( lbm \) | \( kg \) |
