I was just thinking about a problem for fun where(adsbygoogle = window.adsbygoogle || []).push({});

n layers of tape of thickness t are wound on a spool of inner radius r

and one needs to find the the variation of angular speed of spool as a function of time such that tape is obtained at a constant time rate v.

But , my question is , what kind of a curve is the spiral?

To , me , at the first glance , it look like a discrete function.

Then some googling tells me it could be an archimedes spiral.

Few more suggest an involute circle.

Also , can anyone explain to me why its not a discrete function? I have trouble visualizing this.

Some inputs would be appreciated.

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# The spiral obtained when tape wound on a spool.

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