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Model Railway & Scale Modelling Math: Scale Conversions, Scale Speed, Gradients & Helixes, Curve Radii, Track Plans and Fast-Clock Timetables

Plan a model layout that looks and runs right: convert real sizes to common model scales, work out scale speeds, gradients and the climb of a helix, check curve radii against train lengths, count track pieces and costs for a plan and write a fast-clock timetable, with every cell checked as you go.

8 lessons 8 labs 2.1 h Certificate

One-time payment ยท lifetime access ยท lessons, labs, exam and certificate included ยท no subscription.

About this course

In this course you plan a fictional club layout with a spreadsheet. You convert real objects into model millimetres for ratios from 1:220 to 1:45 and work out the scale of an unknown model. You time locomotives and turn centimetres per second into scale km/h, calculate ramp gradients and the run needed to cross one track over another, and size a helix by track per turn, gradient and whole turns. You check curve radii against fictional guideline minimums, calculate coach overhang, count track pieces and costs with SUMIF and SUMPRODUCT, run a fast-clock timetable and finish with an accessory current budget and a cost chart.

Lessons

  1. Scale Conversions: Real Sizes to Model Sizes and Back for 1:220 to 1:45Lab14 min Pro
  2. Scale Speed: From Centimetres per Second to Scale km/h and BackLab15 min Pro
  3. Gradients: Rise over Run, Height Gained and the Length Needed to Cross OverLab15 min Pro
  4. Helixes: Track per Turn, Gradient per Turn and the Number of TurnsLab16 min Pro
  5. Curve Radii: Guideline Minimums per Scale, Too-Tight Curves and Coach OverhangLab16 min Pro
  6. Track Plans: Curve Piece Lengths, Piece Counts per Type, Total Length and CostLab16 min Pro
  7. Fast Clock & Timetables: Layout Time vs Real Time and a Departure BoardLab16 min Pro
  8. Capstone: Accessory Current Budget, Layout Cost Plan and a Cost ChartLab17 min Pro