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What is the radius of gyration of a flywheel in the form of a uniform cylinder of radius 0.43m?
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.
What is the relationship between Moment of inertia and radius of gyration?
I believe it is I = mk^2 where k is radius of gyration and m is mass.
What is formula for radius of gyration?
Radius of gyration is the distance from the centre of gravity to the axis of rotation to which the weight of the rigid body will concentrate without altering the moment of inertia of that particular body.
Is radius of gyration depend on mass?
i thing radius of gyration does not depend upon mass because it is the distance between reference axis and the centre of gravity.
Is radius of gyration a constant quantity?
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.
Radius of gyration of tubular steel of 60 mm diameter pipe?
radius of gyration = sqrt(Moment of inertia/cross section area) Regards, Sumit
Is radius of gyration scalar or tensor?
The radius of gyration is a scalar quantity. It is a measure of the distribution of mass around an axis and quantifies how spread out the mass is from that axis of rotation.
What is physical significance of radius of gyration?
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.
What is the Radius of gyration of a round solid rod?
The radius of gyration of a solid circular rod is a measure of how its mass is distributed with respect to its axis of rotation. For a solid cylindrical rod of radius ( r ) and length ( L ), the radius of gyration ( k ) about its longitudinal axis can be calculated using the formula ( k = \sqrt{\frac{I}{m}} ), where ( I ) is the moment of inertia and ( m ) is the mass. The moment of inertia for a solid rod rotating about its longitudinal axis is ( I = \frac{1}{12} mL^2 ), leading to a radius of gyration of ( k = \frac{L}{\sqrt{12}} ).
Does the radius of gyration depend on the speed of rotation of the body?
No, the radius of gyration does not depend on the speed of rotation of the body. It is a characteristic property of the distribution of mass around an axis of rotation and is independent of the speed at which the body rotates.
What is meant by Radius of gyration?
It is the square root of ratio moment of inertia of the given axis to its mass.
Define radius of gyration state s.i. units of moment of inertia and give its dimensions?
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.
