Question

Explain what is the radius of gyration?

Answer 1

Step 1: Radius of gyration definition:

1. The radius of gyration is the distance from an axis of a body to the point in the body whose moment of inertia is equal to the moment of inertia of the entire body.
2. The radius of gyration is equal to the square root of the ratio between the moment of inertia of the entire body and the mass of the whole system.

Step 2: Diagram for Radius of Gyration:

Step 3: Mathematical Expression

Moment of inertia $I=m{k}^2$

where,

$m=$ Mass of the body

$K=$ The radius of gyration,

SI unit of the radius of gyration is a meter.

1. The radius of gyration increases with the increase in distance between the particles of the body and the axis of rotation.
2. The radius of gyration decreases with the decrease in distance between the particles of the body and the axis of rotation.