How to determine the angular acceleration using the right hand rule?

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SUMMARY

The discussion focuses on determining angular acceleration using the Right Hand Rule (RHR). Participants confirm that the RHR can be applied similarly to angular velocity, where the fingers indicate the rotation direction and the thumb shows the angular acceleration direction. Clockwise and counterclockwise rotations correspond to negative and positive angular vectors, respectively. The mathematical representation of angular acceleration is provided as ω²r, and it can also be expressed using the cross product: ω × (ω × r).

PREREQUISITES
  • Understanding of angular velocity and its representation
  • Familiarity with the Right Hand Rule (RHR)
  • Basic knowledge of vector cross products
  • Concept of angular acceleration in rotational dynamics
NEXT STEPS
  • Study the application of the Right Hand Rule in various rotational scenarios
  • Learn about the mathematical derivation of angular acceleration
  • Explore the relationship between angular velocity and angular acceleration
  • Investigate the implications of clockwise and counterclockwise rotations in physics
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Students and professionals in physics, particularly those studying rotational dynamics, as well as educators looking for clear explanations of angular acceleration concepts.

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How to determine the angular acceleration using the right hand rule??

I know how to get the direction of angular velocity using RHR. We curl up our fingers to the direction at which the object rotates relative to an aix and the thumb shows the direction. My question is, with the same analogy, how can we determine the angular acceleration using the right hand rule?? Adding to this, what does clockwise or anti cc suggest to the direction of angular vectors? THanks a lot to whoever contributes :)
 
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Angular acceleration is ω^{2}r. You can represent it also as a cross product: ω\times(ω\timesr)

Now use the Right Hand Rule and you will come to the direction known for the angular acceleration.
 

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