The Radius of Gyration of a Cylinder about the y-axis calculator computes the Radius of Gyration, r_y, of a cylinder about the specified axis (y-axis) as defined in the picture.

INSTRUCTIONS: Choose the preferred units and enter the following:

• (R) This is the radius 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:_

• Radius of Gyration of a Cylinder about the x-axis

General Info

The Radius of Gyration about a given axis  can be expressed in terms of the moment of inertia as:

`r^2 = I_"axis"/m`

This equation is computing specifically the radius of gyration about the x-axis defined in the picture.  Because of symmetry of the cylinder, the radius of gyration about the y-axis is the same for the radius of gyration about the point c on the y-axis (`r_"yc"`). ¹

Inputs

Where the input to the calculation of the Radius of Gyration (RG) is:

• r = Radius of the Cylinder

author: Carol

See Also

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

Cylinder - Mass Moment of Inertia About z-axis

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