Radius & Axial Distance of Uniform Helical Path

AI Thread Summary
The discussion focuses on the relationship between the radius of a turn in a uniform helical path and the axial distance between successive turns. The concept of "pitch" is introduced as a key factor in understanding this relationship. Participants are encouraged to share their approaches to solving the problem, emphasizing the importance of mathematical reasoning. The conversation is directed towards clarifying the geometric and physical principles underlying helical paths. Understanding these relationships is crucial for applications in various fields, including engineering and physics.
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how is the radius of a turn of a helical path related to the axial distance between a successive turn assuming the helical path to be uniform?
 
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otobo said:
how is the radius of a turn of a helical path related to the axial distance between a successive turn assuming the helical path to be uniform?

Welcome to the PF otobo. I've moved your question to the Homework Help section of the PF.

What are your thoughts on the problem? The word "pitch" comes to mind -- can you show us how you would approach this problem?
 
I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
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