Wiki User
∙ 16y agoI=mr2 therefore r = root (I/m) = root (5/45) = 0.333 recuring
Wiki User
∙ 16y agoIt is the square root of ratio moment of inertia of the given axis to its mass.
the moment of inertia of a solid cylinder about an axis passing through its COM and parallel to its length is mr2/2 where r is the radius.
mass moment of inertia for a solid sphere: I = (2 /5) * mass * radius2 (mass in kg, radius in metres)
find the strength of the member subject to bending or shear. Moment of inertia is used to find radius of gyratia or flexural regidity so that member strength flexural stress is found
No. Radius is half of the diameter.
I believe it is I = mk^2 where k is radius of gyration and m is mass.
radius of gyration = sqrt(Moment of inertia/cross section area) Regards, Sumit
It is the square root of ratio moment of inertia of the given axis to its mass.
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.
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.
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.
The Radius of Gyration of an Area about a given axis is a distance k from the axis. At this distance k an equivalent area is thought of as a line Area parallel to the original axis. The moment of inertia of this Line Area about the original axis is unchanged.
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.
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.
the moment of inertia of a solid cylinder about an axis passing through its COM and parallel to its length is mr2/2 where r is the radius.
mass moment of inertia for a solid sphere: I = (2 /5) * mass * radius2 (mass in kg, radius in metres)