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Math Help - Geometry of a spiral?

  1. #1
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    Smile Geometry of a spiral?

    Hello all, wonder if you can help me? I'm an engineering student but obviously haven't been studying that hard because I can't work out this problem:

    I want to create a spiral, I know the total length if it were stretched out and I know the thickness...the best way I can describe it is as if you had a bit of rope that was 5mm thick and 4m long, then you coiled it up in a spiral on a table or something. The question is, is there a general formula to work out how many revolutions the coil would have and what the overall diameter would be?

    Any help much appreciated!
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  2. #2
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    Quote Originally Posted by jonny2x4 View Post
    Hello all, wonder if you can help me? I'm an engineering student but obviously haven't been studying that hard because I can't work out this problem:

    I want to create a spiral, I know the total length if it were stretched out and I know the thickness...the best way I can describe it is as if you had a bit of rope that was 5mm thick and 4m long, then you coiled it up in a spiral on a table or something. The question is, is there a general formula to work out how many revolutions the coil would have and what the overall diameter would be?

    Any help much appreciated!
    Have a look here: Archimedean spiral - Wikipedia, the free encyclopedia
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