Unfortunately, I haven't hit this part in class yet, and I know I'm getting ahead of myself, but I could really use some help in calculating parts of a spiral.
The parti in question is a spiral ramp that maintains a constant incline, width, radius, etc. Think of a spiral staircase that is a ramp, rather than stairs. The idea is that you have a central shaft with a pully in the center, and a spiral ramp connecting the floors. The spiral always meets the same verticle plane every 360 degrees at the same height, every orbit, so one "curl" per floor. The vertical angle of the ramp is constant, and the horizontal angle of the ramp needs to be either parallel to the ground, or the bare minimum needed to make the curve.
Example: The spiral ramp starts at floor 1, the interior edge of the ramp is 2m from the center of the pully shaft. The outer edge of the ramp is 4m from the center. The spiral is such that by the time you reach floor 2 at 3m height, it has (seen from top view) made a complete 360 degree orbit, and would look like a circle. What would the vertical angle be, and what would be the minimum horizontal angle, and how do I calculate this?
I've been trying all weekend to find this out with no avail.