Exploring Types of Acceleration in Rotational Movement of Rigid Bodies

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Discussion Overview

The discussion revolves around the types of acceleration in the rotational movement of rigid bodies. Participants explore various forms of acceleration, including translational and rotational, and seek to clarify the relationships and equations governing these movements.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants categorize movements into translational and rotational, with rotational movements further divided based on whether they occur around the center of mass or an external point.
  • There is a discussion about the equation for rotational acceleration, with some stating it as a=ra and others clarifying it as a=r*alpha.
  • Participants debate the correct expression for acceleration in circular motion, with conflicting views on whether it should be expressed as a=ω²·r or simply a=ω.
  • Some participants express confusion regarding the definitions of angular velocity (ω) and angular acceleration (α), and their relationships to linear acceleration.
  • There are mentions of the need for clarity on different types of acceleration, including centripetal acceleration and tangential acceleration, as well as their corresponding formulas.
  • One participant emphasizes the importance of understanding the derivation of these equations rather than just accepting definitions.
  • There is a challenge regarding the validity of equating angular acceleration to the square of angular velocity, which some participants argue is incorrect.
  • Participants introduce equations for circular motion, including the coordinates and acceleration components, but express uncertainty about the terminology and concepts involved.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the definitions and relationships between different types of acceleration in rotational movement. Multiple competing views remain, particularly regarding the correct equations and interpretations of angular velocity and acceleration.

Contextual Notes

Some participants express confusion over the terminology and relationships between variables, indicating a potential lack of clarity in foundational concepts. The discussion includes references to specific equations and their derivations, but these are not universally accepted or understood among participants.

  • #31
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  • #32
So we have two accelerations, the tangential acceleration and the centripetal acceleration.
The centripetal is the one that makes the particle move in a circular route.
The tangential is the one that makes the particle move faster/slower on the circular route.
Right?

And the first one is v^2/r.
And the second is γ/r.
Right?

I don't understand why it should take tons of posts for a comprehensive and simple reply like this.
 
  • #33
physea said:
I don't understand why it should take tons of posts for a comprehensive and simple reply like this.
Thread is closed for Moderation...
 
  • #34
physea said:
Will someone eventually post a 'comprehensive' reply instead of posting bits?

physea said:
I don't understand why it should take tons of posts for a comprehensive and simple reply like this.

You have a misconception about how PF works.

A "comprehensive reply" is open-ended; you could be asking for a course in physics 101, and that's way outside the scope of PF. All we can do is point you in the right direction; you have to do the work.

Several posters in this thread have given you good links to sources of information. Please read them, and take some time to build your own understanding. Then, if you have specific questions about something you find, you can start a new thread asking that specific question.

This thread will remain closed.
 
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