Gear Train Torque & Speed Calculator
Output speed/torque through one or two reduction stages.
Torque multiplies exactly as speed divides (minus friction) โ power is conserved. Spur stages run 96โ98% each; worm boxes can dip below 70% and turn the loss into heat.
Formula
Gear Train Torque & Speed Calculator is a free gear train ratio for mechanical and machine-design engineers โ instant, accurate and 100% client-side, with the governing formula and reference shown next to the result so the number can be defended, not just quoted.
About Gear Train Torque & Speed Calculator
Output speed/torque through one or two reduction stages. The calculation implements N_out = N/(rโrโ); T_out = Tยทrโrโยทฮท^stages (Machine design โ gear trains). Torque multiplies exactly as speed divides (minus friction) โ power is conserved. Spur stages run 96โ98% each; worm boxes can dip below 70% and turn the loss into heat.
How to use Gear Train Torque & Speed Calculator
- 1Enter Input speed in rpm.
- 2Enter Input torque in Nยทm.
- 3Enter Stage 1 ratio.
- 4Enter Stage 2 ratio (1 = none).
- 5Read Output speed, Output torque instantly โ no submit button needed.
- 6Need US units? Flip the SI/Imperial toggle and every field converts.
Why use Gear Train Torque & Speed Calculator?
- โImplements the standard formula โ N_out = N/(rโrโ); T_out = Tยทrโrโยทฮท^stages
- โReference cited on-page: Machine design โ gear trains
- โOne-click SI โ Imperial toggle โ values convert in place, physics stays in SI
- โLive worked example: the substitution recomputes from your numbers
- โRuns entirely in your browser โ nothing uploaded, free forever
Frequently asked questions
What formula does the Gear Train Torque & Speed Calculator use?+
It computes N_out = N/(rโrโ); T_out = Tยทrโrโยทฮท^stages, per Machine design โ gear trains. The formula is displayed under the result along with a worked example substituted with your own inputs.
What should I keep in mind when using this calculator?+
Torque multiplies exactly as speed divides (minus friction) โ power is conserved. Spur stages run 96โ98% each; worm boxes can dip below 70% and turn the loss into heat.
Is this suitable for machine design coursework?+
Yes โ these are the exact Shigley/Machinery's-Handbook formulas, with the substitution shown step by step, so you can follow the worked example into your own calculation sheet.
Is the Gear Train Torque & Speed Calculator free to use?+
Yes โ completely free, no sign-up, no limits. It runs client-side in your browser, so inputs stay private and results are instant even on slow connections.
Related Engineering tools
Reynolds Number Calculator
Compute Re from density, velocity, pipe diameter and viscosity โ with instant laminar/turbulent classification.
โ LiveLaminar vs Turbulent Flow Classifier
Classify hydraulic-oil or process-fluid flow regime from kinematic viscosity, line velocity and tube bore.
โ LiveBernoulli Equation Solver
Solve downstream pressure between two points from velocities, elevations and fluid density (ideal, lossless).
โ Live