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Is radius of gyration scalar or tensor?

Updated: 9/23/2023
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Q: Is radius of gyration scalar or tensor?
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Is radius of gyration a constant quantity?

No. Radius of gyration depends upon the axis of rotation of the body.


What is the radius of gyration of a flywheel in the form of a uniform cylinder of radius 0.43m?

For a solid cylinder, divide the radius of the flywheel by the square root of 2, to get the radius of gyration.


Is stress scalar or vector quantity?

Stress is tensor quantity. The stress tensor has 9 components. Each of its components has a magnitude (a scalar) and two directions associated with it.


What is the relationship between Moment of inertia and radius of gyration?

I believe it is I = mk^2 where k is radius of gyration and m is mass.


Is stress is scalar quantity or vector quantity?

Stress is tensor quantity. The stress tensor has 9 components. Each of its components has a magnitude (a scalar) and two directions associated with it.


What do you know about radius of gyration?

The radius of gyration is a measure, in mechanics, of the distribution of mass in an object relative to its centre of mass or a specified axis of rotation.


Is radius of gyration depend on mass?

i thing radius of gyration does not depend upon mass because it is the distance between reference axis and the centre of gravity.


Radius of gyration of tubular steel of 60 mm diameter pipe?

radius of gyration = sqrt(Moment of inertia/cross section area) Regards, Sumit


What is physical significance of radius of gyration?

Basically radius of gyration of a substance is defined as that distance from the axis of rotation from which if equivalent mass that of the substance is kept will have exactly the same moment of inertia about that axis of the substance.


Which physical quantity is obtained when acceleration is differentiated with respect to time is it a scalar or vector or tensor?

For differentiation, you have to divide a vector by a scalar. Therefore, you should get a vector.


What is formula for radius of gyration?

Radius of gyration is the distance from the centre of gravity to the axis of rotation to which the weight of the rigid body will concentrate without altering the moment of inertia of that particular body.


What is meant by Radius of gyration?

It is the square root of ratio moment of inertia of the given axis to its mass.