- #1
suhasm
- 11
- 0
I was just thinking about a problem for fun where
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.
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.