`MoI = ( "M" (3* "a" ^2+ "h" ^2))/12`

Enter a value for all fields

The Moment of inertia of a Cylinder Perpendicular to the Axis calculator computes the moment of inertia of a solid circular cylinder of uniform density with radius a and height h about an axis perpendicular to the axis of the cylinder and through the center of mass (see diagram).

INSTRUCTIONS: Choose your preferred units and enter the following:

• (M) This is the mass of the cylinder.
• (a)  This is the radius of the cylinder.
• (h)  This is the height or length of the cylinder.

Moment of Inertial: The calculator returns the moment of inertia (MoI) in kilogram-square meters.  However, this can be automatically converted to other moment of inertia units via the pull-down menu.

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Cylinder Calculators

1. Lateral Surface Area (sides) of a Cylinder based on height and radius.
2. Total Surface Area of a Cylinder including the sides, top and bottom.
3. Volume of a Cylinder based on cylinder height and radius
4. Cylinder Volume from Height and Circumference
5. Height of a Cylinder based on the volume and radius. 
6. Radius of a Cylinder based on the volume and height.
7. Mass or Weight of a Cylinder  based on the volume and mean density of the cylinder.  
8. Density of a cylinder.
9. Lateral Surface Area of a Slanted Cylinder. 
10. Volume of a Slanted Cylinder.
11. Weight or Mass of a Slanted Cylinder. 
12. Moment of Inertia of a cylinder shaped object based around the central axis
13. Moment of Inertia of a  cylinder shaped object around the end of the cylinder 
14. Moment of Inertia of a  cylinder shaped object perpendicular to the central axis. 
15. Mean Density of Common substances (useful in calculating the mass/weight and the moments of inertia) 
16. Axial Stress on a Cylinder
17. Tangential Stress in a Cylinder
18. Tangential Stress outside a Cylinder