Radial acceleration in a pendulum

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Discussion Overview

The discussion revolves around the nature of radial acceleration in a pendulum, particularly in different frames of reference. Participants explore the expected behavior of radial and tangential acceleration, considering both inertial and rotating frames.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant suggests that radial acceleration in a pendulum might resemble a sine wave oscillating around a positive value, as it is always directed in the same way.
  • Another participant focuses on the rotating frame of reference, questioning how the acceleration trace would appear when gravity is excluded, and considers the term "centripetal acceleration."
  • A third participant acknowledges a mistake in terminology regarding radial and tangential acceleration and shares a resource with animations related to pendulum motion.
  • One participant encourages others to independently derive the results instead of relying on external resources.

Areas of Agreement / Disagreement

Participants express differing views on the representation of radial acceleration and the relevance of frames of reference, indicating that multiple competing perspectives remain without consensus.

Contextual Notes

There are potential limitations in the assumptions made about the frames of reference and the definitions of radial and tangential acceleration, which remain unresolved in the discussion.

Who May Find This Useful

This discussion may be of interest to those studying pendulum dynamics, acceleration in rotating systems, or those looking to clarify concepts related to radial and tangential acceleration.

Sam Smith
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I'm just trying to think how I would expect radial acceleration to look like in a pendulum. I would expect a sine wave of sorts but instead of oscillating around zero I would expect it to be around a positive number as this acceleration is always in the same direction. Also if I was to compare this to the tangential acceleration it would have the same freq but as I say, be in the positive direction. Just wanted to check my reasoning?
 
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Well I am thinking more specifically of the rotating frame (I know in the inertial frame the radial acceleration changes direction) (ie fixed on the pendulum bob itself) So if you exclude gravity I am wondering what the acceleration trace would typically look like? Or perhaps its better known as centripedal acceleration?
 
Why don't you simply work it out? There is no need to be dependent on the work of others if you simply exercise your brain and figure it out for yourself.
 

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