GPS Waypoints for Bradwell Area Caves and Mines

The following GPX file uses data from HNH/PeakDistrictCaving, specifically their index to the Bradwell Catchment (PDF).

I created this after a trip around Bradwell Dale, mostly looking at the geology, and compared with a set of GPS waypoints and the tracklog. Based on this, I am sceptical of the accuracy of the Grid Ref for Bradwell Parish Cave. I would place this at SK17255 80605.

Bradwell Catchment GPX file.

Paradoxical Cones – the Uphill Roller

I came across an account of the “uphill roller” in a book by Julian Havil, “Nonplussed!”. The basic idea is that two cones, joined at the bases, will appear to roll uphill on a pair of diverging rails if the combination of the angles of the cones, slope of two rails and divergence of two rails is within certain margins. Julian’s article explains the mathematical analysis and gave a simple inequality.

That looks cool, I thought, and the challenge of machining two con-joined cones appealed too.

I decided to design an adjustable set-up that would demonstrate conditions when the cones would appear to behave paradoxically and conditions when the would not. Somewhat to my surprise the finished article worked as inteded.

Downloads:

  • CAD Drawings – Draft-it format
  • CAD Drawings – GIF Images
  • Machining notes

I’ll upload a video when I have one…