Moment of Inertia of a Cylinder
Moment of Inertia of a Cylinder Index
- Moment of Inertia of a Cylinder, Hollow Cylinder
- Moment of Inertia of a Cylinder, Solid Cylinder
- Moment of Inertia of a Cylinder, Hollow Core Cylinder
Moment of Inertia of a Cylinder Formula, Hollow Cylinder |
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\( I_z = m \; r^2 \) | ||
Symbol | English | Metric |
\( I \) = moment of inertia | \(lbm \;/\; ft^2-sec\) | \(kg \;/\; m^2\) |
\( m \) = mass | \( lbm \) | \( kg \) |
\( r \) = radius | \( in \) | \( mm \) |
Moment of Inertia of a Cylinder Formulas, Solid Cylinder |
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\( I_z = \frac{1}{2}\; m \; r^2 \) \( I_x = I_y = \frac {1}{12} \;m \; ( 3\;r{^2} + l^2 ) \) |
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Symbol | English | Metric |
\(\large{ I }\) = moment of inertia | \(lbm \;/\; ft^2-sec\) | \(kg \;/\; m^2\) |
\(\large{ l }\) = length | \( in \) | \( mm \) |
\(\large{ m }\) = mass | \( lbm \) | \( kg \) |
\(\large{ r }\) = radius | \( in \) | \( mm \) |
Moment of Inertia of a Cylinder Formulas, Hollow Core Cylinder |
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\( I_z = \frac {1}{12}\; m \; ( r_1{^2} + r_2{^2} ) \) \( I_x = I_y = \frac {1}{12} \;m \; ( 3 \; ( r_2{^2} + r_1{^2} ) + l^2 ) \) |
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Symbol | English | Metric |
\(\large{ I }\) = moment of inertia | \(lbm \;/\; ft^2-sec\) | \(kg \;/\; m^2\) |
\(\large{ l }\) = length | \( in \) | \( mm \) |
\(\large{ m }\) = mass | \( lbm \) | \( kg \) |
\(\large{ r_1 }\) = radius | \( in \) | \( mm \) |
\(\large{ r_2 }\) = radius | \( in \) | \( mm \) |
Tags: Moment of Inertia