# Spur gears, module 2: 10 to 80 teeth (20° involute) > What is the pitch diameter of a module 2 spur gear? - Category: Hardware › Motion - Kind: Hardware - Basis: ISO 53 basic rack: 20° pressure angle, addendum m, dedendum 1.25 m; pitch Ø = m × teeth, tip Ø = m × (teeth + 2), root Ø = m × (teeth − 2.5) - Page: https://xemstudio.com/objects/spur-gears-module-2/ · JSON: https://xemstudio.com/api/geometry?object=spur-gears-module-2 · Plain text: https://xemstudio.com/objects/spur-gears-module-2/sheet.txt - License: dimension sheet CC BY 4.0 (Xem Studio); linked files under their publishers' licenses - Use in every chat: add https://xemstudio.com/mcp as a connector (https://xemstudio.com/use-with-ai/) **Exact dimensions.** True size, with no printing tolerance added. ## Notes - Centre distance of two module 2 gears = m × (N1 + N2) / 2. Face width 16 mm, plain bore (add a hub, key or set screw to suit). Teeth below 17 are drawn without profile shift, so they undercut as real unshifted gears do. ## Sizes | teeth | pitch_dia_mm | tip_dia_mm | root_dia_mm | face_mm | bore_mm | |---|---|---|---|---|---| | 10 | 20.0 | 24.0 | 15.0 | 16.0 | 5 | | 12 | 24.0 | 28.0 | 19.0 | 16.0 | 7 | | 14 | 28.0 | 32.0 | 23.0 | 16.0 | 8 | | 15 | 30.0 | 34.0 | 25.0 | 16.0 | 9 | | 16 | 32.0 | 36.0 | 27.0 | 16.0 | 9 | | 18 | 36.0 | 40.0 | 31.0 | 16.0 | 11 | | 20 | 40.0 | 44.0 | 35.0 | 16.0 | 12 | | 22 | 44.0 | 48.0 | 39.0 | 16.0 | 14 | | 24 | 48.0 | 52.0 | 43.0 | 16.0 | 15 | | 25 | 50.0 | 54.0 | 45.0 | 16.0 | 16 | | 28 | 56.0 | 60.0 | 51.0 | 16.0 | 18 | | 30 | 60.0 | 64.0 | 55.0 | 16.0 | 19 | | 32 | 64.0 | 68.0 | 59.0 | 16.0 | 21 | | 35 | 70.0 | 74.0 | 65.0 | 16.0 | 23 | | 36 | 72.0 | 76.0 | 67.0 | 16.0 | 23 | | 40 | 80.0 | 84.0 | 75.0 | 16.0 | 25 | | 42 | 84.0 | 88.0 | 79.0 | 16.0 | 25 | | 45 | 90.0 | 94.0 | 85.0 | 16.0 | 25 | | 48 | 96.0 | 100.0 | 91.0 | 16.0 | 25 | | 50 | 100.0 | 104.0 | 95.0 | 16.0 | 25 | | 56 | 112.0 | 116.0 | 107.0 | 16.0 | 25 | | 60 | 120.0 | 124.0 | 115.0 | 16.0 | 25 | | 64 | 128.0 | 132.0 | 123.0 | 16.0 | 25 | | 70 | 140.0 | 144.0 | 135.0 | 16.0 | 25 | | 72 | 144.0 | 148.0 | 139.0 | 16.0 | 25 | | 80 | 160.0 | 164.0 | 155.0 | 16.0 | 25 | ## Where the files are - ISO: [ISO 53 standard basic rack (20° pressure angle, addendum 1 m, dedendum 1.25 m) and ISO 54 modules](https://www.iso.org/standard/5768.html) — standard — ISO; dimensions are facts (verify at link) ## Free STEP/STL (26 parts, CC BY 4.0, Xem Studio) Index: https://xemstudio.com/files/hardware/spur-gears-module-2/index.json - gear-m2-10t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-10t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-10t.stl) — module 2, 10 teeth: pitch Ø20, tip Ø24, root Ø15, face 16, bore Ø5 - gear-m2-12t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-12t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-12t.stl) — module 2, 12 teeth: pitch Ø24, tip Ø28, root Ø19, face 16, bore Ø7 - gear-m2-14t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-14t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-14t.stl) — module 2, 14 teeth: pitch Ø28, tip Ø32, root Ø23, face 16, bore Ø8 - gear-m2-15t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-15t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-15t.stl) — module 2, 15 teeth: pitch Ø30, tip Ø34, root Ø25, face 16, bore Ø9 - gear-m2-16t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-16t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-16t.stl) — module 2, 16 teeth: pitch Ø32, tip Ø36, root Ø27, face 16, bore Ø9 - gear-m2-18t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-18t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-18t.stl) — module 2, 18 teeth: pitch Ø36, tip Ø40, root Ø31, face 16, bore Ø11 - gear-m2-20t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-20t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-20t.stl) — module 2, 20 teeth: pitch Ø40, tip Ø44, root Ø35, face 16, bore Ø12 - gear-m2-22t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-22t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-22t.stl) — module 2, 22 teeth: pitch Ø44, tip Ø48, root Ø39, face 16, bore Ø14 - gear-m2-24t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-24t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-24t.stl) — module 2, 24 teeth: pitch Ø48, tip Ø52, root Ø43, face 16, bore Ø15 - gear-m2-25t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-25t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-25t.stl) — module 2, 25 teeth: pitch Ø50, tip Ø54, root Ø45, face 16, bore Ø16 - gear-m2-28t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-28t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-28t.stl) — module 2, 28 teeth: pitch Ø56, tip Ø60, root Ø51, face 16, bore Ø18 - gear-m2-30t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-30t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-30t.stl) — module 2, 30 teeth: pitch Ø60, tip Ø64, root Ø55, face 16, bore Ø19 - gear-m2-32t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-32t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-32t.stl) — module 2, 32 teeth: pitch Ø64, tip Ø68, root Ø59, face 16, bore Ø21 - gear-m2-35t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-35t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-35t.stl) — module 2, 35 teeth: pitch Ø70, tip Ø74, root Ø65, face 16, bore Ø23 - gear-m2-36t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-36t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-36t.stl) — module 2, 36 teeth: pitch Ø72, tip Ø76, root Ø67, face 16, bore Ø23 - gear-m2-40t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-40t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-40t.stl) — module 2, 40 teeth: pitch Ø80, tip Ø84, root Ø75, face 16, bore Ø25 - gear-m2-42t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-42t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-42t.stl) — module 2, 42 teeth: pitch Ø84, tip Ø88, root Ø79, face 16, bore Ø25 - gear-m2-45t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-45t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-45t.stl) — module 2, 45 teeth: pitch Ø90, tip Ø94, root Ø85, face 16, bore Ø25 - gear-m2-48t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-48t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-48t.stl) — module 2, 48 teeth: pitch Ø96, tip Ø100, root Ø91, face 16, bore Ø25 - gear-m2-50t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-50t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-50t.stl) — module 2, 50 teeth: pitch Ø100, tip Ø104, root Ø95, face 16, bore Ø25 - gear-m2-56t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-56t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-56t.stl) — module 2, 56 teeth: pitch Ø112, tip Ø116, root Ø107, face 16, bore Ø25 - gear-m2-60t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-60t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-60t.stl) — module 2, 60 teeth: pitch Ø120, tip Ø124, root Ø115, face 16, bore Ø25 - gear-m2-64t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-64t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-64t.stl) — module 2, 64 teeth: pitch Ø128, tip Ø132, root Ø123, face 16, bore Ø25 - gear-m2-70t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-70t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-70t.stl) — module 2, 70 teeth: pitch Ø140, tip Ø144, root Ø135, face 16, bore Ø25 - gear-m2-72t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-72t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-72t.stl) — module 2, 72 teeth: pitch Ø144, tip Ø148, root Ø139, face 16, bore Ø25 - gear-m2-80t: [STEP](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-80t.step) · [STL](https://xemstudio.com/files/hardware/spur-gears-module-2/gear-m2-80t.stl) — module 2, 80 teeth: pitch Ø160, tip Ø164, root Ø155, face 16, bore Ø25 ## Questions **Pitch diameter of a module 2, 20-tooth gear?** 40 mm; tip 44 mm. **Centre distance?** m × (N1 + N2) / 2: a 20 and a 40 tooth module 2 pair sit 60 mm apart. ## Fits with - [Spur gears, module 0.5: 10 to 80 teeth (20° involute)](https://xemstudio.com/objects/spur-gears-module-0-5/) - [Spur gears, module 0.8: 10 to 80 teeth (20° involute)](https://xemstudio.com/objects/spur-gears-module-0-8/) - [Spur gears, module 1: 10 to 80 teeth (20° involute)](https://xemstudio.com/objects/spur-gears-module-1/) - [Spur gears, module 1.25: 10 to 80 teeth (20° involute)](https://xemstudio.com/objects/spur-gears-module-1-25/) - [Spur gears, module 1.5: 10 to 80 teeth (20° involute)](https://xemstudio.com/objects/spur-gears-module-1-5/) - [Spur gears, involute 20°: module 0.5, 1 and 2, 12–60 teeth](https://xemstudio.com/objects/spur-gears-involute/)