Rotate System: Polar vs Tangential & Normal

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Choosing between polar and tangential/normal coordinate systems in rotating systems depends on the problem's context. Polar coordinates are advantageous for problems involving circular motion, such as satellite orbits, while tangential and normal coordinates are better suited for linear applications, like construction layouts. The key is to select the coordinate system that simplifies calculations based on the given quantities. As experience grows, one develops an intuition for which system to use in various scenarios. Mastery of both systems and the ability to convert between them is essential for effective problem-solving.
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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