Formula of Inertia: Learn What It Is and How to Use It

In summary, the conversation discusses the concept of inertia and its relation to mass and resistance. The formula for inertia is not explicitly stated, but it is mentioned that it can be expressed as an inertia matrix for an extended body. There is also a disagreement about the quantifiability of inertia, with one person stating that it can be quantified and another person disagreeing.
  • #1
kckevo16
2
0
Hey everyone! I love this site!

Im doing a project on Inertia and I need to know the Formula. Does anyone know what it is?
 
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  • #2
You'll have to be a bit more specific than that!
 
  • #3
The index of your textbook ... "Newton's first law"
 
  • #4
F = Ma?
 
  • #6
Is there really a formula for intertia? Isn't it just mass? The tendency for a mass to remain at constant velocity/rest. Mass and/or inertia is like a measure of resistance in a change of velocity. So the higher the mass the more force you need to accelerate it at a certain rate.
 
  • #7
Yes.. Inertia is just the property which defines the resistance the moving or a stable object offers towards the external applied force. as the mass of the object increases its inertia increase.. its not quantifiable...
 
  • #8
sekar507 said:
its not quantifiable
I have to disagree there; the inertia for a specific body is definitely quantifiable. A particle's inertia is simply it's mass, whereas one can express the inertia of an extended body as an inertia matrix. Either way, one can definitely quantify the inertia of a specified mass distribution.
 
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What is the formula of inertia?

The formula of inertia, also known as the moment of inertia, is a physical quantity that measures an object's resistance to changes in its rotational motion. It is represented by the letter "I" and is calculated by multiplying the mass of an object by the square of its distance from the axis of rotation.

How is the formula of inertia used?

The formula of inertia is used to calculate an object's rotational kinetic energy and angular momentum. It is also used in engineering and physics to analyze the behavior of rotating objects and design machines that involve rotational motion, such as motors and turbines.

What is the difference between moment of inertia and mass?

The moment of inertia is a measure of an object's resistance to rotational motion, while mass is a measure of an object's resistance to translational motion. In other words, moment of inertia takes into account an object's shape and distribution of mass, while mass only considers the amount of matter an object contains.

What factors affect the formula of inertia?

The formula of inertia is affected by an object's mass, shape, and the distance of its mass from the axis of rotation. Objects with larger mass or that are more spread out have a higher moment of inertia, while objects with smaller mass or that are more compact have a lower moment of inertia.

How is the formula of inertia derived?

The formula of inertia is derived from Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. By applying this law to rotational motion, we can derive the formula of inertia.

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