- #1

- 208

- 0

## Main Question or Discussion Point

Given a conic geometry, like that of a paper cup. What is the radius of a circle made by the rolling made by the cup. It actually makes two circles so either radius as long as it is specified will do.

Given:

The cup's large radius = R

The cup's small radius = r

The length of the cup or height = h

So far I know that the circumference of the circle made when the cup rolls is inversely proportional to the slope of the cup:

Circumference ~ 1/slope or h/(R-r)

Given:

The cup's large radius = R

The cup's small radius = r

The length of the cup or height = h

So far I know that the circumference of the circle made when the cup rolls is inversely proportional to the slope of the cup:

Circumference ~ 1/slope or h/(R-r)