What is the meaning of radius gyration?
radius of gyration. noun. a length that represents the distance in a rotating system between the point about which it is rotating and the point to or from which a transfer of energy has the maximum effect. Symbol: k or r .
What is radius of gyration Class 12?
Radius of gyration is defined as the distance from the axis of rotation to a point where total mass of the body is supposed to be concentrated. 1. It the particles of body are distributed lose to axis of rotation,the radius gyration is less.
Where is the radius of gyration?
center
A radius of gyration in general is the distance from the center of mass of a body at which the whole mass could be concentrated without changing its moment of rotational inertia about an axis through the center of mass.
What is gyration formula?
Radius of Gyration Formula The formula of moment inertia in terms of the radius of gyration is given as follows: I = mk2 (1) where I is the moment of inertia and m is the mass of the body. Accordingly, the radius of gyration is given as follows. k=√Im k = I m (2)
Why is the useful to define radius of gyration?
The physical significance of defining the radius of gyration is as follow, The mass and radius of gyration of the body about a given axis of rotation gives the value of its moment of inertia about the same axis, even if we do not know the actual shape of the body.
What does radius of gyration Class 11 mean?
Radius of gyration of the body:- It is defined as the distance from the axis of the rotation to a point where the total mass of the body is supposed to be concentrated is known as radius of gyration.
What is the gyration in physics?
The radius of gyration of a body about an axis of rotation is defined as the radial distance of a point, from the axis of rotation at which, if the whole mass of anybody is assumed to be concentrated on its moment of inertia about the given axis would be same as with its actual distribution of mass. Mathematically.
What is the importance of radius of gyration?
d. The knowledge of mass and radius of gyration of the body about a given axis of rotation gives the value of its moment of inertia about the same axis, even if we do not know the actual shape of the body.
What is unit of radius of gyration?
The unit of the radius of gyration is mm. By knowing the radius of gyration, the moment of inertia of any rigid body by equation (1). Consider a body having n number of particles each with a mass of m.
What is an example of radius of gyration?
For example, a column with an elliptical cross-section will tend to buckle in the direction of the smaller semiaxis. In engineering, where continuous bodies of matter are generally the objects of study, the radius of gyration is usually calculated as an integral.
What is the medical definition of the word family?
Medical Definition of family 1 : the basic unit in society traditionally consisting of two parents rearing their children also : any of various social units differing from but regarded as equivalent to the traditional family a single-parent family
What is a ‘family’?
The above definition includes step-families, single parent families and doesn’t even mention sex or sexual orientation of the parents, so includes same-sex families too. One way around the problem of defining a family is to distinguish carefully between different ‘family arrangements’ when we discuss them.
What is the meaning of family forms?
family forms. A reference to “family” is usually to a traditional model of a mother and father, married to each other and their biological or legally adopted