Gear Ratio Formula Teeth, This is of particular importance on gears of few teeth or if the gear blank configuration requires the use of a small diameter shaper cutter, in which case the dedendum may need to be increased to as much as 1. 3 × 3. With respect to the stock gearing on a motorcycle, installing a smaller counter-shaft sprocket (fewer teeth), or a larger rear sprocket (more teeth), produces a lower gear ratio, which increases Sheldon Brown's Derailer Gear/Internal-Gear Calculator Translation of this article: French German by Sheldon "Gain Ratio" Brown You need to enter data for at least one chainring, and at least one sprocket unless you choose a stock cassette. How to Calculate Worm Gear Ratio The formula for worm gear ratio calculation is: Gear Ratio = Number of Teeth on Worm Wheel ÷ Number of Starts on Worm Speedometer Head: Converts rotational input to a speed display The ratio between the drive and driven gears, combined with tire size and axle ratio, determines the speed reading accuracy. A smaller chainring or larger cog lowers it (easier, better for climbing). The final drive gear ratio can be calculated by dividing the number of teeth on the rear sprocket by the number of teeth on the counter-shaft sprocket. It is the ratio of the number of teeth on the driven gear to the number of teeth on the driving gear. The units (teeth) cancel out, resulting in a dimensionless ratio. It is calculated by dividing the number of teeth on the worm wheel by the number of starts (threads) on the worm gear. A Gear RPM Calculator is a Motorcycle speed and sprocket calculator with bike database for gearing, sprockets, tires and chains of over 1900 bikes. 45/P. This ratio can be expressed as the number of gear teeth divided by the number of pinion teeth. Worked Example A 50-tooth chainring with a 15-tooth cog on a 700c wheel (effective diameter ~26. May 26, 2026 · A gear ratio is the front chainring teeth divided by the rear cog teeth. In this article, we will explore everything about gear ratio, including how to calculate it. Lower numbers feel easier on climbs and starts; higher numbers travel farther per pedal stroke but ask more from your legs. So in this example, since there are 54 teeth on the larger gear and 18 teeth on the pinion. Mar 5, 2026 · Expressed mathematically, the total gear ratio equals the product of teeth on all driving gears divided by the product of teeth on all driven gears. Development simply tells you how far one full crank revolution rolls you forward. Listing of internal hubs is A>Z by manufacturer, then by number of speeds, type and age. 33, so gear inches = 26. Given: Ndriver =25 teeth Ndriven =100 teeth Substitute these values into the formula: VR=25100 3 Calculate Velocity Ratio VR=4 4 Verification The calculation is a simple division. Gear ratio is calculated by dividing the number of driven gear teeth by the number of driver gear teeth. Find gear ratio, output speed, torque multiplication, efficiency, and planet/ring/sun gear sizing. The Speedometer Gear Formula The formula for calculating the correct number of teeth on the speedometer drive gear is: 2 days ago · The worm gear ratio describes the relationship between the rotational speed of the worm and the worm wheel in a worm gear drive system. Calculate gear ratios instantly from teeth count, find output RPM, and understand speed-torque tradeoffs. Request yours to be added as well. A velocity ratio greater than 1 indicates a speed reduction, which is consistent with a larger . Free tool for engineers, makers, and hobbyists. 2 days ago · The worm gear ratio describes the relationship between the rotational speed of the worm and the worm wheel in a worm gear drive system. This approach lets engineers build compact gearboxes with very high or very precise ratios using reasonably sized gears. A bigger chainring or a smaller cog raises the gear (harder, more speed per stroke). Free advanced planetary gear train calculator. 3 days ago · Because of this design, worm gear drives can achieve very high reduction ratios in a single stage, making them highly efficient for compact transmission systems. Supports all 3 configurations. For instance, calculating the ratio for bigger tires involves a specific formula. This simple formula determines how many times the input gear must turn to make the output gear complete one rotation. 3 in): ratio = 50 / 15 = 3. Nov 10, 2021 · This relationship is called the gear teeth – pinion teeth ratio or the gear ratio. Jun 4, 2026 · Driver Gear Teeth Driven Gear Teeth Driver RPM Calculate Reset Gear Ratio: Driven Gear RPM: Speed Change: Mechanical systems depend heavily on gears to transfer motion, torque, and rotational energy between components. Learn the formulas, examples, and how gearing affects acceleration, cruising, towing, and fuel economy. May 7, 2026 · Use a Gear Ratio RPM Speed Calculator to estimate vehicle speed, engine RPM, tire diameter, transmission gear ratio, and final drive ratio. A 60-tooth driven gear and 20-tooth driver gear gives 6 0 / 2 0 = 3, or a 3 : 1 gear ratio. To calculate gear ratio, divide the number of teeth on the driven gear by the number of teeth on the driving gear (GR = T2/T1). Whether in automobiles, industrial machines, robotics, or bicycles, understanding rotational speed is essential for efficiency and performance. Our scientific calculator determines the necessary gear size or tooth count based on your tire specifications.
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