Moment of Inertia of a Cylinder
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 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, 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