Calculation of inertia resistance in my geometry

In summary, the conversation discusses the calculation of inertia resistance in a rotational system of regular geometry. The equation for calculating inertia can be either I * alpha or I *w(omega^2), with both equations yielding the same result. The concept of moment of inertia is also mentioned, with its equivalence to mass in rotational systems.
  • #1
Analysis
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Dear all,

I have bit vague about calculation of inertia resistance in my geometry.i have rotational system of regular geometry,i have calculated the "I"value .
which equation i have to use I * alpha or I *w(omega^2),or they both in same...

In some calculations later equation is used...


Prakash
 
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  • #2
Analysis said:
which equation i have to use I * alpha or I *w(omega^2),or they both in same...

Hi Prakash! :smile:

(have an alpha: α and an omega: ω and try using the X2 tag just above the Reply box :wink:)

Learn your moment of inertia basics …

Iω is angular momentum, 1/2 I ω2 is energy,

and d/dt(Iω) = Iα + (dI/dt)ω is torque (so if I is constant, then Iα is torque). :smile:
 
  • #3


The basic equivalence to inertia is mass, like in p (momentum)= mv. In rotational systems, it would be the moment of inertia, like mb2 for a point mass m at the end of a massless rod of length b.
 

1. What is inertia resistance in my geometry?

Inertia resistance is a measure of the force required to accelerate an object in a particular direction. In the context of geometry, it is the resistance an object experiences when being moved or rotated around a specific axis.

2. How is inertia resistance calculated?

Inertia resistance is calculated using the formula I = mr^2, where I is the inertia resistance, m is the mass of the object, and r is the distance from the axis of rotation to the object's center of mass.

3. Why is it important to calculate inertia resistance in my geometry?

Calculating inertia resistance is important because it helps determine the stability and strength of an object when subjected to forces or rotations. It is also crucial in designing machines and structures to ensure they can withstand the forces they will experience.

4. What factors can affect inertia resistance in my geometry?

The factors that can affect inertia resistance include the shape and size of the object, the distribution of mass, and the distance from the axis of rotation. In general, the larger the object and the further the mass is from the axis of rotation, the greater the inertia resistance.

5. How can I reduce inertia resistance in my geometry?

To reduce inertia resistance, you can change the shape or size of the object, redistribute the mass, or change the axis of rotation. However, it is important to consider the effects of these changes on the stability and strength of the object before making any modifications.

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