Unit of moment of inertia

Answer 1

metre4

Answer 2

A2

Moment of inertia is the term used to measure or quantify the amount of mass located at an object's extremities. For example if all the mass of an object was located in a small compact size (like a lead ball) its moment of inertia would be small compared to the same amount of mass shaped into a dumbell. Because a dumbell has most of its mass located farther from its center. But there is a "qualification" here. Moment of inertia is calculated relative to a hypothetical spin axis. Once you choose the spin axis then you calculate the moment of inertia by multiplying the mass times its distance to the spin axis squared; I = MR^2

So in the example between the sphere and the dumbell the moment of inertia of the dumbell would be significantly larger relative to a spin axis perpendicular to the dumbell length. If you instead choose your spin axis to lie thru the dumbell parallel to its length then its moment of inertia,relative to this axis, would be much smaller because the mass would be located closer to that axis. And ,in fact, it might even be smaller then the moment of inertia of a sphere about an axis thru its center.

A way to store kinetic energy is with a spinning object. In calculating how much energy would be stored in a spinning object the energy is proportional to the moment of inertia. So all other things being equal you would choose a spin axis and object shape that gave you the largest moment of inertia for maximum stored energy.

SIMPLY "MOI" MEANS

Moment of inertia is the characteristic of an object to resist rotation.

T IS DIRECTLY PROPORTIONAL TO I

where

T is the torque applied to the object

I is the moment of inertia of the object

I Depends on following elements

mass of the element .

Distance of the element from the axis of rotation.

For finding I (Application purpose) for Different sections we must know how to find out Center of gravity of a Section.

Answer 3

The unit of moment of inertia is typically represented in kg m² or sometimes in other units such as g cm² or lb ft², depending on the system of measurement being used. The moment of inertia quantifies an object's resistance to changes in its rotational motion, similar to how mass quantifies an object's resistance to changes in its linear motion.

Answer 4

The moment of inertia of a molecule is the mass property that is held by a molecule. This determines the necessary torque of a desired angular acceleration concerning the axis of rotation.