# What is mean by moment of inertia?

# What is moment of inertia?

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.

# What is the moment of inertia of a molecule?

The moment of inertia of a molecule is the mass property that isheld by a molecule. This determines the necessary torque of adesired angular acceleration concerning the axis o…f rotation.

# Who introduced the concept of moment of inertia?

it was intoduced by Galileo

# What is physical significance of moment of inertia?

moment of inertia is the rotational equivalent of mass. it is given by I= Mk 2 moment of inertia in rotational motion play the same role as mass in linear motion, that is i…n linear motion f = ma while in rotation, torque= I*Angular acceleration where I is the moment of inertia

# Define moment of inertia?

inertia is that property of a mass which resist change in its state of rest or motion.

# Is moment of inertia scalar or vector?

i think it is neither a vector nor a scalar but a TENSOR.

# Mass moment of inertia of a flywheel?

define moment of inertia Ă‚Â§ 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).

# What is difference between polar moment of inertia and moment of inertia?

Polar moment of inertia of an area is a quantity used to predict an object's ability to resist torsion.Moment of inertia, also called mass moment of inertia or the angular mas…s, (SI units kg m2, Imperial Unit slug ft2) is a measure of an object's resistance to changes in its rotation rate.

# What is the formula for moment of inertia?

You have to multiply each small unit of mass with the square of the distance from the axis of rotation. This requires an integration, but you can find tables which have this i…ntegral already solved for many standard shapes. For example, for a sphere, the moment of inertia is 2/5 M r 2 , and for a cylinder, rotating around its longitudinal axis, 1/2 M r 2 , where M is the total mass and r is the radius.

# What variables contribute to moment of inertia?

The axis about which the body is being rotated and the geometry of the body are important. The further away material (in terms of area) is from the centroid of the body the… higher the moment of inertia will be, which is why an I-beam is good in bending. If it's the mass moment of inertia which is used in dynamics for Euler's angular momentum equation. Then the mass of the body is important. The further away mass is from the axis of rotation the greater the mass moment of inertia will be. This is why when a figure skater pulls their arms into her body during a spin she begins to spin faster. The mass of their arms is now closer to their axis of rotation lowering their mass moment of inertia and decreasing their resistance to rotation.

# What is the moment of inertia of a cylinder?

(1/2) mr 2 , assuming the axis of rotation goes through the center, and along the axis of symmetry.

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# What is physical meaning of moment of inertia?

physically it means that how difficult it is to shear a body

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# What is different between inertia and moment of inertia?

The ability of a body to maintain its state, either in motion or in rest position against any external force is called Inertia while the moment of inertia is defined as the me…asure of an object's resistance to any change in its state of rotation.

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# What do you understand by mass moment of inertia?

it is analogous to mass in translational motion.like mass measures intertia in translational motion same m.o.i measures interia in rotational motion ..body having high m.o.i o…ffer greater resistance in rotation. M.O.I. =M*R2 M=mass of body R=distance of body from axis of rotation..

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# Why moment of inertia is called rotational inertia?

That's what it's all about: about rotation. The "inertia" part is because it is comparable to the linear inertia: that's what makes it difficult to change an object's rotation…. .

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# What is the unit for a polar moment of inertia?

Moment of inertia has unit kg m 2