Calculation of inertia resistance in my geometry

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SUMMARY

The discussion focuses on the calculation of inertia resistance in rotational systems, specifically addressing the use of equations involving moment of inertia (I). Participants clarify that I * α (torque) and I * ω² (kinetic energy) serve different purposes in calculations. The equation Iω represents angular momentum, while 1/2 Iω² calculates rotational energy. Understanding these distinctions is crucial for accurate application in physics problems.

PREREQUISITES
  • Understanding of moment of inertia (I) in rotational dynamics
  • Familiarity with angular acceleration (α) and angular velocity (ω)
  • Knowledge of torque and its relation to rotational motion
  • Basic principles of energy in rotational systems
NEXT STEPS
  • Study the relationship between torque and angular acceleration in rotational dynamics
  • Learn about the conservation of angular momentum and its applications
  • Explore the derivation and applications of the rotational kinetic energy formula (1/2 Iω²)
  • Investigate the effects of changing moment of inertia on rotational motion
USEFUL FOR

Physics students, mechanical engineers, and anyone involved in the study of rotational dynamics and mechanics will benefit from this discussion.

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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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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:
 


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.
 

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