What is the radius of gyration of a body about an axis of rotation?

Radius of gyration or gyradius of a body about the axis of rotation is defined as the radial distance to a point which would have a moment of inertia the same as the body’s actual distribution of mass, if the total mass of the body were concentrated there.

Is radius of gyration distance between axis of rotation and Centre of mass?

For a planar distribution of mass rotating about some axis in the plane of the mass, the radius of gyration is the distance from the axis that all mass can be concentrated to obtain the same mass moment of inertia. Thus, the radius of gyration is the “equivalent distance” of the mass from the axis of rotation.

Does the radius of gyration depends upon the speed of rotation of the body?

Radius of gyration of a body is not affected by speed of the body.

Why is the radius of gyration of a body is not unique?

The radius of gyration does not depend on the total mass of a body but depends upon the shape and size of body-distribution of mass within the body and choice of rotation of axis.

What will be the radius of gyration about an axis parallel to the axis?

The radius of gyration of a body about an axis at a distance 6cm from its center of mass is 10 cm. Then, its radius of gyration about a parallel axis through its center of mass will be: 0.8 cm.

On what factors does radius of gyration depend?

Radius of Gyration depends upon the following factors:

• Moment of inertia of the body.
• Mass of the body.
• Shape and size of the body.
• position of the axis of rotation.

What does radius of gyration depends on?

From this equation it can be observed that, radius of gyration depends on the moment of inertia of the body, mass of the body, shape and size of the body, and position of the axis of rotation.

On what factors does the radius of gyration of a body depends?

The radius of gyration depends upon shape and size of the body, position and configuration of the axis of rotation, and also on the distribution of the mass of the body wrt the axis of rotation.

What is the radius of gyration K for a rigid body about a given rotation axis?

Mechanics: Here radius of gyration about an axis of rotation is calculated using mass moment of inertia and its formula is given by relation, k=√IM(1) (1) k = I M This equation (1) is the radius of gyration formula for mass moment of inertia.

What must be the relation between length L and radius R of the cylinder if its moment of inertia about its axis is equal to that about the equatorial axis?

The moment of inertia of a solid cylinder about its own axis is the same as its moment of inertia about an axis passing through its centre of gravity and perpendicular to its length. The relation between its length L and radius R is: L=√3R.