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Cylinder (solid) - Radius of Gyration about x-axis

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Last modified by
on
Jul 24, 2020, 6:28:07 PM
Created by
on
Jul 1, 2014, 3:01:31 AM
`r_x = r_z = sqrt( (3r^2 +4 h^2) /12)`
`(R)"Radius of Cylinder"`
`(g)"Height of the Cylinder"`
Tags
Kinematics Dynamics cylinder Verified
UUID
00ca3d12-00cc-11e4-b7aa-bc764e2038f2

The Radius of Gyration of a Cylinder about the x-axis calculator computes the Radius of Gyration, rx, of a cylinder about the specified axis (x-axis) as defined in the picture./attachments/00ca3d12-00cc-11e4-b7aa-bc764e2038f2/CylinderRadiusofGyrationaboutxaxis-illustration.png

INSTRUCTIONS: Choose the preferred units and enter the following:

  • (R) This is the radius of the solid cylinder
  • (h)  This is height of the solid cylinder

Radius of Gyration: The radius of gyration is returned in meters.  However, this can be automatically converted to other length units via the pull-down menu.

Related Calculators:

General Information

The radius of gyration is a general measure of the distribution of an object's mass.  The radius of gyration about an axis, `r_"axis"`, is computed as the root mean square of the distances of the object's component parts from the specified axis. The radius of gyration is related to the mass moment of inertia: `r_"axis" = sqrt(I_"axis"/m)` where m is the mass of the object and `I_"axis"` is the mass moment of inertia about the same specified axis. 1

Related Cylinder Calculator Functions:

  1. Cylinder (solid) - Radius of Gyration about y-axis
  2. Cylinder - Mass Moment of Inertia About z-axis
  3. Compute the Lateral Surface Area (sides) of the cylinder based on height and radius.
  4. Compute the Total Surface Area of a cylinder including the sides, top and bottom.
  5. Compute the Volume of a cylinder based on cylinder height and radius
  6. Compute the Height of a cylinder based on the volume and radius.
  7. Compute the Radius of a cylinder based on the volume and height.
  8. Compute the Mass or Weight of a cylinder as a function of the volume and mean density of the substance of the cylinder.  
  9. Compute the Density of a cylinder.
  10. Compute the Lateral Surface Area of a Slanted cylinder.
  11. Compute the Volume of a Slanted cylinder.
  12. Compute the Weight or Mass of a Slanted cylinder.
  13. Compute the moment of inertia of a cylinder shaped object based around the central axis
  14. Compute the moment of inertia of a  cylinder shaped object around the end of the cylinder
  15. Compute the moment of inertia of a  cylinder shaped object perpendicular to the central axis.
  16. Look up the mean density of common substances (useful in calculating the mass/weight and the moments of inertia)
  1. ^ Fundamentals of Engineering. 8th edition, 2nd Revision.  National Council of Examiners for Engineering and Surveying (NCEES) - 2001. ISBN 978-1-932613-59-9.  pg 61
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