Another change in unit vectors (d(r-hat)/d(theta)) in Cylindrical

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Homework Help Overview

The discussion revolves around the derivative of the unit vector r-hat with respect to the angle theta in cylindrical coordinates. Participants are exploring the relationship between these unit vectors and their changes as theta varies.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to understand the expression d(r-hat)/d(theta) and its implications in cylindrical coordinates. Some are questioning the nature of the relationship between r-hat and theta-hat as theta changes.

Discussion Status

There is an ongoing exploration of the topic, with some participants providing insights into the relationship between the unit vectors. A specific interpretation has been suggested, but no consensus has been reached.

Contextual Notes

Participants are working within the framework of cylindrical coordinates and are considering the implications of angular changes on the unit vectors involved.

khfrekek1992
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Homework Statement



Does anyone know what d(r-hat)/d(theta) in Cylindrical coordinates is?


Homework Equations





The Attempt at a Solution



I'm pretty sure its -(theta-hat) but I'm not sure, any help?

Thanks so much
 
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so theta is moved over by d(theta) shifting over r-hat and theta-hat.. What would d(r-hat)/d(theta) be?
 
anyone? :)
 
Hi khfrekek1992! :smile:

{d\hat r \over d\theta} = \hat \theta

If you draw \hat r for 2 angles, you'll see that the vector-difference between them points in the direction of \hat \theta.
Its (approximate) length is d\theta.
 
Oh! I see how you get that now.. Thanks so much! That helps a ton :D
 

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