Gear Ratio and RPM Cascade

Per-stage and overall ratio, output RPM, and output torque across up to four gear stages with a per-stage efficiency.

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Formula and source

stage_ratio = N_out / N_in; overall_ratio = product of stage ratios; RPM_out = RPM_in / overall_ratio; T_out = T_in * overall_ratio * efficiency^stages.

First-principles gear math; AGMA 2000 (gear classification) for tolerance by name.

Audience

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Posture

Rough Logic answers the math question the working professional asks on the job. The site is a calm, fast, ad-free, account-free, ever-free reference. It does not interpret code. It does not replace the licensed professional. It does not store your inputs. The Authority Having Jurisdiction governs all installations and inspections.