Question

write the Radius of Gyration​

Answer 1

Explanation:

Radius of gyration or gyradius of a body about an 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.

Answer 2

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As stated earlier, theoretical calculation of moment of inertia is possible only for mathematically integrable geometrical shapes. However, experimentally we can determine the moment of inertia of any object. It depends upon mass of that object and how that mass is distributed from or around the given axis of rotation. If we are interested in knowing only the mass distribution around the axis of rotation, we can express moment of inertia of any object as I = MK² , where M is mass of that object. It means that the mass of that object is effectively at a distance K from the given axis of rotation. In this case, K is defined as the radius of gyration of the object about the given axis of rotation. In other words, if Kis radius of gyration for an object, I =MK² is the moment of inertia of that object. Larger the value of K, farther is the mass from the axis.