Answer:
The "radius of gyration" or "gyration radius" is a term commonly used in physics and engineering to describe the distribution of mass in an object or the spatial extent of an object's mass from its axis of rotation. It is a measure of how the mass is distributed around a rotational axis. The radius of gyration is represented by the symbol "k."
For a given object or body, the radius of gyration can be calculated using the following formula:
k= √I ÷ m
Where:
- k is the radius of gyration.
- I is the moment of inertia of the object, which quantifies its resistance to rotational motion.
- m is the total mass of the object.
In simpler terms, the radius of gyration represents the effective distance from the axis of rotation to a point where you could imagine the entire mass of the object concentrated, producing the same moment of inertia as the actual mass distribution. It is a valuable parameter in physics, especially when dealing with rotational dynamics and understanding how an object rotates around an axis.
Step-by-step explanation: