A circular body motion around its axis

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SUMMARY

The discussion focuses on calculating the momentum and energy of a circular body in rapid motion around its axis. Key formulas provided include angular momentum, defined as Iω, and kinetic energy, expressed as 1/2 Iω², where I represents the moment of inertia and ω is the angular velocity. Additionally, the torque required for angular acceleration is given by Iα. Understanding these concepts is essential for analyzing the dynamics of rotating bodies.

PREREQUISITES
  • Understanding of moment of inertia (I)
  • Knowledge of angular velocity (ω)
  • Familiarity with angular acceleration (α)
  • Basic principles of torque
NEXT STEPS
  • Research the calculation of moment of inertia for various shapes
  • Study the relationship between angular momentum and rotational motion
  • Explore the concept of torque and its applications in rotational dynamics
  • Learn about energy conservation in rotational systems
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Physics students, mechanical engineers, and anyone interested in the principles of rotational motion and dynamics.

Mahmoud Ebied
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Hello physicists
I have a circular body goes around its axis very fast.
I am seaching for answer for these questions
1- How can I calculate its momentum or the energy that it has?
2- What is the forces that limit its motion?

please I need your help
thanks a lot
 
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Welcome to PF!

Hi Mahmoud! Welcome to PF! :smile:

You need to know the moment of inertia (I) of the body.

Then the angular momentum is Iω, and the energy is 1/2 Iω2, where ω is the angular velocity.

And the torque (moment of force) needed to produce an angular acceleration of α is Iα. :smile:
 

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