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Hub Gear Calculator — Internal Hub Ratios
Calculate effective gear ratios for internal hub gear systems.
How We Calculate This
Hub Gear Calculation
Effective Ratio = External Ratio × Internal Multiplier
Each hub type has fixed planetary ratios set by the manufacturer (e.g. Sturmey-Archer AW 0.75 / 1.0 / 1.333, Shimano Nexus 8-speed 0.527 → 1.615). The effective gear ratio is the external ratio (chainring ÷ sprocket) multiplied by each internal ratio. Speed at the reference cadence is then (effective ratio × wheel circumference in mm × cadence × 60) ÷ 1,000,000 km/h, following the Sheldon Brown gear-development method.
Frequently Asked Questions
An internal hub gear (IGH) has its gearing mechanism sealed inside the rear hub. Popular brands include Shimano Nexus/Alfine, Sturmey-Archer and Rohloff. They are low-maintenance and shift while stationary.
Internal gears multiply or divide the input rotation using planetary gear sets. Each gear position has a fixed multiplication factor applied to the external gear ratio.
3-speed is good for flat commutes. 7-8 speed covers most urban riding. For touring or hilly areas, the Rohloff 14-speed or Shimano Alfine 11 offer wider range.
Related Calculators
Gear Ratio Calculator
Calculate gear ratios from chainring and sprocket tooth counts.
Gear Inches Calculator
Convert gear ratios to gear inches for comparison.
Development Calculator
Calculate distance travelled per pedal revolution for any gear.
Speed in Gear Calculator
Calculate road speed for any gear at a given cadence.
Cadence Calculator
Calculate required cadence for a target speed in any gear.
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Last updated: June 2026
All calculations are estimates. Always verify results and consult a professional bike fitter where appropriate.