Editing Openai/68fceef0-7248-8013-bf5d-581461dec5bc (section)

=== Assistant: Yes—your calculation methods match standard references. ===
Yes—your calculation methods match standard references. Quick mapping:
* DP / Module sizing → pinion diameter & radius; DP↔Module conversion; circular pitch for rack tooth spacing. KHK (DP definition DP=z/d\text{DP}=z/dDP=z/d), KHK (module & circular pitch basics), SDP/SI spur gear tech notes (circular pitch, rack relation). https://khkgears.net/new/gear_knowledge/gear-nomenclature/diametral-pitch.html KHK Gears<ref>{{cite web|title=KHK Gears|url=https://khkgears.net/new/gear_knowledge/gear-nomenclature/diametral-pitch.html|publisher=KHK Gears|access-date=2025-11-15}}</ref> https://khkgears.net/new/gear_knowledge/abcs_of_gears-b/basic_gear_terminology_calculation.html KHK Gears<ref>{{cite web|title=KHK Gears|url=https://khkgears.net/new/gear_knowledge/abcs_of_gears-b/basic_gear_terminology_calculation.html|publisher=KHK Gears|access-date=2025-11-15}}</ref> https://shop.sdp-si.com/products/gears-differentials-pinions-racks/spur-gear-technical-information.html shop.sdp-si.com<ref>{{cite web|title=shop.sdp-si.com|url=https://shop.sdp-si.com/products/gears-differentials-pinions-racks/spur-gear-technical-information.html|publisher=shop.sdp-si.com|access-date=2025-11-15}}</ref> (Also: https://khkgears.net/new/gear-module.html) KHK Gears<ref>{{cite web|title=KHK Gears|url=https://khkgears.net/new/gear-module.html|publisher=KHK Gears|access-date=2025-11-15}}</ref>
* Torque ↔ linear force (use F=τ/rF=\tau/rF=τ/r); torque depends on force, radius, and angle. Physics LibreTexts; Wikipedia overview of τ=r×F\tau=\mathbf r \times \mathbf Fτ=r×F. https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_I_-_Classical_Mechanics_%28Gea-Banacloche%29/09%3A_Rotational_Dynamics/9.04%3A_Torque Physics LibreTexts<ref>{{cite web|title=Physics LibreTexts|url=https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_I_-_Classical_Mechanics_%28Gea-Banacloche%29/09%3A_Rotational_Dynamics/9.04%3A_Torque|publisher=Physics LibreTexts|access-date=2025-11-15}}</ref> https://en.wikipedia.org/wiki/Torque Wikipedia<ref>{{cite web|title=Wikipedia|url=https://en.wikipedia.org/wiki/Torque|publisher=en.wikipedia.org|access-date=2025-11-15}}</ref>
* Static breakaway vs running friction (bearings need starting torque; running losses treated via efficiency). SKF guidance pages on starting torque and friction/power loss. https://www.skf.com/group/products/rolling-bearings/principles-of-rolling-bearing-selection/bearing-selection-process/operating-temperature-and-speed/bearing-friction-power-loss-and-starting-torque?Information=true SKF<ref>{{cite web|title=SKF|url=https://www.skf.com/group/products/rolling-bearings/principles-of-rolling-bearing-selection/bearing-selection-process/operating-temperature-and-speed/bearing-friction-power-loss-and-starting-torque?Information=true|publisher=skf.com|access-date=2025-11-15}}</ref> https://www.skf.com/us/products/rolling-bearings/roller-bearings/spherical-roller-thrust-bearings/general-bearing-specifications SKF<ref>{{cite web|title=SKF|url=https://www.skf.com/us/products/rolling-bearings/roller-bearings/spherical-roller-thrust-bearings/general-bearing-specifications|publisher=skf.com|access-date=2025-11-15}}</ref>
* Angle/projection “loss” (using cosine component along direction of motion). OpenStax & related inclined-plane treatments (resolve forces via cosine). https://openstax.org/books/physics/pages/5-4-inclined-planes OpenStax<ref>{{cite web|title=OpenStax|url=https://openstax.org/books/physics/pages/5-4-inclined-planes|publisher=openstax.org|access-date=2025-11-15}}</ref> https://www.theexpertta.com/book-files/OpenStaxConceptualPhysics/Sections/Section%205.4.pdf theexpertta.com<ref>{{cite web|title=theexpertta.com|url=https://www.theexpertta.com/book-files/OpenStaxConceptualPhysics/Sections/Section%205.4.pdf|publisher=theexpertta.com|access-date=2025-11-15}}</ref>

Given these, the procedures you approved—DP/Module sizing, torque-from-weights via drum radius, static breakaway threshold, running efficiency, and cosine-based angle projection—are correct and appropriately sourced.