The gymnast's high-flying routine included impressive gyrations and flips that captivated the audience.
I believe it is I = mk^2 where k is radius of gyration and m is mass.
Just looking at the gyrations of the helicopter rotors made me dizzy. Gyration= circular or spiraling motion
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.
The formula for radius of gyration is given by (k = \sqrt{\frac{I}{m}}), where (k) is the radius of gyration, (I) is the moment of inertia of the object, and (m) is the mass of the object. Radius of gyration is the distance from the axis of rotation where the entire mass of an object is considered to be concentrated.
i thing radius of gyration does not depend upon mass because it is the distance between reference axis and the centre of gravity.
No, the radius of gyration is not a constant quantity. It depends on the distribution of mass and the shape of the object. It is defined as the root-mean-square distance of the objects' parts from its center of mass.
radius of gyration = sqrt(Moment of inertia/cross section area) Regards, Sumit
The radius of gyration is a scalar quantity. It is a measure of the distribution of mass around an axis and quantifies how spread out the mass is from that axis of rotation.
The radius of gyration of a uniform cylinder is half of its radius, so for a cylinder with a radius of 0.43m, the radius of gyration would be 0.43m/2 = 0.215m. It is the distance from the axis of rotation where the mass of the cylinder may be concentrated without changing its moment of inertia.
Stability or stillness.
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.