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Define radius of gyration state s.i. units of moment of inertia and give its dimensions?
Wiki User
∙ 15y ago
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.
Wiki User
∙ 15y ago
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How do you spell moment?
The correct spelling is "moment".
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The US as it is at this moment in time.
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The moment of truth is that moment when the truth comes out. It's when you see if you are right or wrong, or if something is going to work out or not.
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Is moment is a correct spelling?
yes, it is , you cannot spell it as momment, only with one m like moment :)
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 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 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 one of the following does not have some dimensions?
Moment of inertia and torque
Mass moment of inertia of a flywheel?
define moment of inertia§ I is the moment of inertia of the mass about the center of rotation. The moment of inertia is the measure of resistance to torque applied on a spinning object (i.e. the higher the moment of inertia, the slower it will spin after being applied a given force).
Define centroid and moment of inertia?
The centroid is the geometric centre of an object. Moment of inertia is a objects resistance to rotation and has the units kg.m^2
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
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.
What is the moment of inertia of a cube with uniform density about any edge?
Think of it as the difference in moment of inertias for two solid cubes. Calculate the moment of inertia of a solid cube with dimensions equal to the inner dimensions of your hollow cube. Then calculate the moment of inertia of a solid cube with dimensions equal to the outer dimensions of your hollow cube. Subtract the moment of inertia of the inner dimensions from the moment of inertia of the outer dimensions to get the moment of inertia of what's left. Same concept applies to finding the area of a thin-walled circle. Outer area - inner area = total area. Outer moment of inertia - inner moment of inertia = total moment of inertia. This approach won't work however if you're considering hollow shell - a cube with walls of zero thickness. If the axis of rotation goes through the cube center, perpendicular to one of its walls, first calculate moment of inertia of the wall that the axis passes through (let's call it Ia). For all equations below d equals surface density(mass per unit of area) and a is length of cube's side. Ia= d * a4 / 6 Then you have to calculate moments of inertia of four walls parallel to the axis. This will be Ib=4 * Iwall=4*d*a4/3. Total moment of the shell will be then: I=2*Ia+Ib=1.5*d*a4. If the axis is through the center and ┴ one face, I = (m/6)*[a² - (a-t)²], or I = (m/6)(2at - t²) for any value of t, however small. Source: CRC Std Math Tables
How do you determine the moment of inertia?
How do to determine the moment of inertia of a cub
Mass moment of inertia of a disk?
Moment of Inertia of a disk (I) = 1/2MR2 Moment of Inertia of a disk (I) = 1/4MR2
