Gear Ratio / RPM at Speed Calculator
Calculate engine RPM at any speed based on tire diameter, final drive ratio, and transmission gear ratio.
Essential for drivetrain tuning.
Gear ratio defines the mechanical relationship between the engine’s rotation speed (RPM) and the wheel/output shaft rotation. It determines how torque is multiplied (or reduced) and how many engine revolutions are needed per wheel revolution.
Gear ratio formula: Gear Ratio = Driven Gear Teeth ÷ Driving Gear Teeth
Or equivalently: Gear Ratio = Input RPM ÷ Output RPM
Engine RPM at a given vehicle speed: Engine RPM = Vehicle Speed × Gear Ratio × Final Drive Ratio × (63,360 ÷ (Tire Circumference in inches × 60))
Simplified: RPM = (Speed in mph × Gear Ratio × Final Drive Ratio × 336) ÷ Tire Diameter (inches)
Where:
- Gear Ratio — the current transmission gear’s ratio (e.g. 1st gear ≈ 3.5:1, 6th gear ≈ 0.75:1)
- Final Drive Ratio — the rear differential or front drive axle ratio (typically 2.73:1 to 4.10:1)
- Tire Diameter — measured from the tire size code (e.g. 225/45R17 has diameter ≈ 24.97 inches)
- 336 — a conversion constant combining unit conversions (mph → inches/minute → RPM)
Typical transmission gear ratios:
- 1st gear: 3.0–4.5:1 (high torque multiplication for starting)
- 2nd gear: 1.8–2.5:1
- 3rd gear: 1.2–1.7:1
- 4th gear: 0.9–1.1:1 (often near 1:1 = direct drive)
- 5th gear: 0.7–0.9:1 (overdrive)
- 6th gear: 0.6–0.8:1 (overdrive, fuel economy)
Worked example: Car in 6th gear (ratio 0.70:1), final drive ratio 3.55:1, tire diameter 26 inches, traveling at 70 mph.
RPM = (70 × 0.70 × 3.55 × 336) ÷ 26 = (70 × 0.70 × 3.55 × 336) ÷ 26 = 58,408 ÷ 26 = 2,246 RPM
This is a typical highway cruising RPM — low enough for fuel efficiency. In 1st gear at the same speed: RPM = (70 × 3.8 × 3.55 × 336) ÷ 26 = 12,192 RPM — well beyond redline, which is why higher gears exist.