Gear ratio and road speed calculator

Wheel revolutions per engine revolution is the product of the gear and final drive ratios, and everything else follows.

rpm
Road speed
90.50km/h
= Exact Gear ratio
In miles per hour
56.23
Engine speed at the target
3315 rpm
Overall ratio
3.3150
Wheel speed
754.1 rpm
km/h per 1000 rpm
36.199
Show the working
  1. Engine speed = 2500
  2. Gearbox ratio = 0.85
  3. Final drive ratio = 3.9
  4. Tyre rolling circumference = 2000
  5. Target road speed = 120
  6. Overall ratio = 0.85 * 3.9 = 3.315
  7. Wheel speed = 3.315 > 0 ? 2500 / 3.315 : 0 = 754.148
  8. speed_ms = 754.148 * 2000 / 1000 / 60 = 25.1383
  9. Road speed = 25.1383 * 3.6 = 90.4977
  10. In miles per hour = 90.4977 / 1.609344 = 56.2327
  11. Engine speed at the target = 2000 > 0 ? 120 / 3.6 * 60 * 1000 / 2000 * 3.315 : 0 = 3315
  12. km/h per 1000 rpm = 2500 > 0 ? 90.4977 / 2500 * 1000 : 0 = 36.1991

Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.

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    The formula

    • wheel rpm = engine rpm / (gear ratio x final drive)
    • speed = wheel rpm x rolling circumference

    A numerically higher final drive means more torque multiplication and a lower top speed in each gear.

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