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Subjects>Math>Geometry

What is the relationship between Moment of inertia and radius of gyration?

Anonymous

∙ 14y ago

Updated: 4/28/2022

I believe it is I = mk^2 where k is radius of gyration and m is mass.

Wiki User

∙ 14y ago

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Q: What is the relationship between Moment of inertia and radius of gyration?

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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.

If the moment of inertia of a ring of mass M and radius R .what is its diameter?

Its diameter is 2R, whatever the mass.

How you find moment of inertia of isosceles triangle?

Along the height it is hb^3/48 and along base it is bh^3/36

How could you increase the moment of inertia of a beam without increasing its cross sectional area?

making the beam more solid by using more material or material with a higher density. Also, you could deflate the air out of it so it has less tendency to rise with hot air currents.

Second moment of area of triangle?

Second moment of area for triangle trough x-axis = (ah3)/36

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Related Questions

What is meant by Radius of gyration?

It is the square root of ratio moment of inertia of the given axis to its mass.

Radius of gyration of tubular steel of 60 mm diameter pipe?

radius of gyration = sqrt(Moment of inertia/cross section area) Regards, Sumit

What is the relationship between beam deflection and moment of inertia in structural engineering?

In structural engineering, the relationship between beam deflection and moment of inertia is that a higher moment of inertia results in less beam deflection. Moment of inertia is a measure of an object's resistance to bending, so beams with a higher moment of inertia are stiffer and deflect less under load. This relationship is important in designing structures to ensure they can support the intended loads without excessive deflection.

What is the relationship between the moment of inertia times alpha in the context of rotational motion?

The relationship between the moment of inertia and angular acceleration (alpha) in rotational motion is described by the equation I, where represents the torque applied to an object, I is the moment of inertia, and is the angular acceleration. This equation shows that the torque applied to an object is directly proportional to its moment of inertia and angular acceleration.

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.

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.

What is formula for radius of gyration?

The formula for radius of gyration is given by (k = \sqrt{\frac{I}{m}}), where (k) is the radius of gyration, (I) is the moment of inertia of the object, and (m) is the mass of the object. Radius of gyration is the distance from the axis of rotation where the entire mass of an object is considered to be concentrated.

What is the relationship between the moment of inertia and center of mass for point particles?

The moment of inertia for point particles is directly related to their distance from the center of mass. The farther a point particle is from the center of mass, the greater its moment of inertia.

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 radius of gyration of a 45 kg grindstone and a moment of inertia of 5 kg-m2?

I=mr2 therefore r = root (I/m) = root (5/45) = 0.333 recuring

Relation between stress and moment of inertia?

is a resisstance of a body is called inertia

What is the difference between mass moment of inertia and area moment of inertia?

Mass moment of inertia measures an object's resistance to rotational motion due to its mass distribution, while area moment of inertia measures an object's resistance to bending due to its shape and cross-sectional area. Mass moment of inertia depends on both the mass and its distribution, while area moment of inertia depends on the shape and how the material is distributed in the cross-section.

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