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[Basic Math Help]Cylindrical Coordinate Systems??? - Page 2

Blogs > Loser777
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Zortch
Profile Blog Joined January 2008
Canada635 Posts
Last Edited: 2012-10-05 19:23:02
October 05 2012 19:21 GMT
#21
I like your question about how to underatand phi as a vector.
What you need to do is understand how the space (r, phi) with r >=0 and 0=<phi<2pi is a vector space. What are the operations? How do you add vectors here is such a way that it behaves in the way we want it to? Etc...

Edit: this is for polar coords of course. Cylindrical is similar
Respect is everything. ~ARchon
Aerisky
Profile Blog Joined May 2012
United States12129 Posts
October 05 2012 19:45 GMT
#22
Wow this looks awesome yet crazy at the same time ._.

Makes me wonder whether entering technical/hard sciences is a good idea after all .__.
Jim while Johnny had had had had had had had; had had had had the better effect on the teacher.
Loser777
Profile Blog Joined January 2008
1931 Posts
October 05 2012 19:48 GMT
#23
Still trying to read through all the posts--Plexa's scribd example is nice in that it presents the unit vector phi's direction as being determined by how the position vector moves as phi grows. It's also nice to see that they express r as a function of rho and z and show why phi is always orthogonal to r.

Now I'm just trying to rationalize how my textbook's transformation of cylindrical position vectors involves rho, but I have to finish a lab for another class first!

Thanks, and I understand that these kinds of blogs are definitely not as interesting to read as girl blogs.
6581
Ssin
Profile Blog Joined August 2010
United States88 Posts
October 05 2012 20:12 GMT
#24
Not interesting? I know more than a few people here enjoy mathematical discussions. Vector transformations to other coordinates is a useful skill toi have, and having an actual question about it is a nice change of pace.

Makes me wonder whether entering technical/hard sciences is a good idea after all .__.

Well, it depends on your outlook. It is a mentally satisfying experience, and can change how you view things. Especially if you decide to enter graduate school and focus on a specific area of study. The world seems so much smaller and yet so much more complicated.
]343[
Profile Blog Joined May 2008
United States10328 Posts
October 05 2012 22:47 GMT
#25
On October 05 2012 16:42 Oldfool wrote:
Show nested quote +
On October 05 2012 16:35 ]343[ wrote:
Sorry, I'm not sure I understand your question.

The dx dy dz = r sin phi dr dphi dz is a change of variables for the integral; the "unit vector" thing you're talking about sounds like a change of coordinate basis. These are related, but I don't think they're identical.

Pretty sure it's r dr dphi dz; r sin phi is for spherical polar coords.


lol, oops...

anyway, I'm glad hamster is much more coherent (and correct) than I am
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