Moment of Inertia of an Annulus
Annulus are two circles that have the same center.
Moment of Inertia of an Annulus Formulas, Solid Plane |
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\( I_z = \frac {\pi}{2} \; \left( r_2{^4} - r_1{^4} \right) \) \( I_x = I_y = \frac {\pi}{4} \; \left( r_2{^4} - r_1{^4} \right) \) \( I_x = I_y = \frac {\pi}{64}\; D^4 - \frac {\pi}{64} \;d^4 \) |
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Symbol | English | Metric |
\( I \) = moment of inertia | \(lbm\;/\;ft^2-sec\) | \(kg\;/\;m^2\) |
\( d \) = inside diameter | \( in \) | \( mm \) |
\( D \) = outside diameter | \( in \) | \( mm \) |
\( \pi \) = Pi | \(dimensionless\) | |
\( r_1 \) = radius | \( in \) | \( mm \) |
\( r_2 \) = radius | \( in \) | \( mm \) |
Tags: Moment of Inertia