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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
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
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 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 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 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.
What is the relationship between mass of a rotating object and its period?
The mass of a rotating object does not affect its period of rotation. The period of rotation is determined by the object's moment of inertia and angular velocity. However, the mass of an object can affect its moment of inertia, which in turn can affect the period of rotation.
What is the domensions for moment of inertia?
Dimensional formula of moment of inertia = [ML2T0 ]
What is difference between polar moment of inertia and moment of inertia?
The polar moment of inertia measures an object's resistance to torsional deformation when subjected to a moment of force perpendicular to its axis, while the moment of inertia measures an object's resistance to angular acceleration when subjected to a twisting force. The polar moment of inertia accounts for distribution of mass around an axis, while the moment of inertia considers mass distribution relative to a specific axis.
