No. Radius of gyration depends upon the axis of rotation of the body.
For a solid cylinder, divide the radius of the flywheel by the square root of 2, to get the 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.
It's a 0th order tensor, also known as a scalar.
Yes. A scalar is a physical quantity that does not depend on direction. For example, temperature is a scalar because it has no directional value. Velocity is not a scalar (it is a vector quantity) because it has direction.
No. Radius of gyration depends upon the axis of rotation of the body.
For a solid cylinder, divide the radius of the flywheel by the square root of 2, to get the radius of gyration.
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.
I believe it is I = mk^2 where k is radius of gyration and m is mass.
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.
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.
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 = sqrt(Moment of inertia/cross section area) Regards, Sumit
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.
For differentiation, you have to divide a vector by a scalar. Therefore, you should get a vector.
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.
It is the square root of ratio moment of inertia of the given axis to its mass.