Rotate System: Polar vs Tangential & Normal

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Discussion Overview

The discussion revolves around the choice of coordinate systems—polar versus tangential and normal—in the context of rotating systems. Participants explore the criteria for selecting an appropriate coordinate system based on the problem at hand, emphasizing practical applications and personal experience.

Discussion Character

  • Exploratory, Conceptual clarification, Technical explanation

Main Points Raised

  • Some participants suggest that proficiency in both polar and tangential/normal coordinates is essential, as one may need to convert between them depending on the given quantities.
  • It is proposed that the choice of coordinate system should be based on which makes the problem easier to solve, with examples illustrating the appropriateness of different systems for various scenarios.
  • One participant compares the selection of coordinate systems to a cabinetmaker choosing the right tool for a specific job, indicating that experience plays a significant role in making these decisions.

Areas of Agreement / Disagreement

Participants generally agree that the choice of coordinate system is context-dependent and that experience influences this decision. However, there is no consensus on a definitive method for determining the best system to use in every situation.

Contextual Notes

Limitations include the subjective nature of determining the "easiest" coordinate system and the lack of specific criteria or examples for all types of rotating systems.

Who May Find This Useful

This discussion may be useful for students and practitioners in physics and engineering who are dealing with problems involving rotating systems and coordinate transformations.

Za Kh
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how do we know which system of coordinates to use whether (polar) or (tangential and normal) in case of a rotating system ??
 
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Za Kh said:
how do we know which system of coordinates to use whether (polar) or (tangential and normal) in case of a rotating system ??
Hi Za Kh. http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif

You need to be adept at both, and able to convert from one to the other. If you are given most of the quantities in one form you may elect to work in that system.
Good luck with your studies. http://thumbnails112.imagebam.com/37333/0363e9373324851.jpg
 
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Za Kh said:
how do we know which system of coordinates to use whether (polar) or (tangential and normal) in case of a rotating system ??

You should choose whichever coordinates make the problem easiest to solve.

For example, you would never use polar coordinates with the origin at the center of the Earth to lay out the foundations of a house - Cartesian coordinates with the origin at one corner are much easier. On the other hand, if you were trying to calculate the orbit of a satellite, the polar coordinates would make the job way easier.

As you practice solving more different and more difficult problems, you will start to develop a sense of which coordinate system is likely to work best for any given problem. If you've ever watched an experienced cabinetmaker at work... He'll have a dozen different handsaws, and somehow he always reaches first for the one that will work best for whatever cut he needs to make. That comes from practice.
 
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thanks :)
 

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