`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.

Related Cylinder Calculator Functions:

1. Compute the Lateral Surface Area (sides) of the cylinder based on height and radius.
2. Compute the Total Surface Area of a cylinder including the sides, top and bottom.
3. Compute the Volume of a cylinder based on cylinder height and radius
4. Compute the Height of a cylinder based on the volume and radius.
5. Compute the Radius of a cylinder based on the volume and height.
6. Compute the Mass or Weight of a cylinder as a function of the volume and mean density of the substance of the cylinder.  
7. Compute the Density of a cylinder.
8. Compute the Lateral Surface Area of a Slanted cylinder.
9. Compute the Volume of a Slanted cylinder.
10. Compute the Weight or Mass of a Slanted cylinder.
11. Compute the moment of inertia of a cylinder shaped object based around the central axis
12. Compute the moment of inertia of a  cylinder shaped object around the end of the cylinder
13. Compute the moment of inertia of a  cylinder shaped object perpendicular to the central axis.
14. Look up the mean density of common substances (useful in calculating the mass/weight and the moments of inertia)