RC Car Gear Ratio Calculator
Calculate final drive ratio and theoretical top speed for RC cars based on pinion, spur, diff ratio, and motor specs.
About this calculator
Gearing an RC car is a trade-off between top speed and torque, and this calculator turns your drivetrain numbers into both a final drive ratio and a rough top-speed estimate. It first divides your spur gear's tooth count by the pinion's to get the transmission ratio, then multiplies that by the differential's internal gear ratio to arrive at the final drive ratio — the total reduction between the motor shaft and the wheels. A higher final drive ratio means more torque multiplication (better acceleration and pulling power) at the cost of top speed, and vice versa for a lower ratio, which is why the same number is reported again as a "torque multiplier" to make that trade-off explicit.
Motor speed is estimated the simplest way possible: Kv rating (RPM per volt) times battery voltage, giving the motor's theoretical unloaded max RPM with no accounting for current draw, load, or heat — real-world RPM under load will be lower. That figure is divided by the final drive ratio to get wheel RPM, then converted to a theoretical top speed in mph using a fixed assumed tire circumference of 12.57 inches (a 4-inch diameter tire), so if your actual tires are a different size, the speed estimate will be off proportionally. Because it ignores motor efficiency, rolling resistance, aerodynamic drag, and battery voltage sag under load, treat the top-speed number as a ceiling rather than a real-world prediction — actual on-track speeds typically come in meaningfully lower.
Inputs
Results
Final Drive Ratio
10
Theoretical Speed (mph)
26.4
How to Use This Calculator
- Enter Pinion Teeth, Spur Gear Teeth, and Differential Ratio.
- Set Motor Kv Rating and Battery Voltage.
- Review Final Drive Ratio and Theoretical Speed (mph).
- Use Motor Max RPM and Torque Multiplier (x) to inform your decision.
- Use the chart to visualize the results and explore different scenarios by adjusting inputs.
How the result changes with Pinion Teeth
| Pinion Teeth | Final Drive Ratio | Theoretical Speed (mph) |
|---|---|---|
| 10 | 20 | 13.2 |
| 15 | 13.33 | 19.8 |
| 30 | 6.67 | 39.6 |
| 50 | 4 | 66.1 |
What each input means
- Pinion Teeth
- Number of teeth on the motor pinion gear
- Spur Gear Teeth
- Number of teeth on the spur (main) gear
- Differential Ratio
- Internal gear ratio of the differential
- Motor Kv Rating
- Motor RPM per volt (higher Kv = faster, lower torque)
- Battery Voltage
- Battery nominal voltage (e.g., 7.4V for 2S LiPo)
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersPinion Teeth = 20, Spur Gear Teeth = 80, Differential Ratio = 2.5, Motor Kv Rating = 3000 = 5 input(s) provided
- Calculate Final Drive RatioFinal Drive Ratio10 = 10
- Calculate Theoretical SpeedTheoretical Speed26.4 = 26.4
- Calculate Motor Max RPMMotor Max RPM22200 = 22200
- Calculate Torque MultiplierTorque Multiplier10 = 10
Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
How is the final drive ratio calculated from pinion, spur, and diff ratio?
The calculator first divides spur gear teeth by pinion teeth to get the transmission ratio (how much the gearbox itself reduces motor speed), then multiplies that by the differential's internal ratio to get the final drive ratio — the total reduction between the motor shaft and the wheels. A higher final drive ratio means each wheel turn requires more motor turns, trading top speed for torque.
Why is my real-world top speed likely to be slower than the theoretical speed shown here?
The theoretical speed assumes the motor spins at its unloaded max RPM (Kv times battery voltage) with no accounting for current draw, load, heat, or battery voltage sag — all of which pull real RPM down once the car is actually accelerating against rolling resistance and drag. Treat the number as a ceiling on what's mechanically possible with that gearing, not a prediction of your lap-timer results.
Why is Torque Multiplier the same number as Final Drive Ratio?
They're reported as the same value on purpose — the final drive ratio is the total gear reduction, and that identical number also expresses how much the wheel torque is multiplied relative to the motor's output torque. Displaying it under both labels makes the trade-off explicit: the ratio that boosts torque is exactly the ratio that caps top speed.
Does the calculator account for my actual tire size?
No — the theoretical speed calculation assumes a fixed tire circumference of 12.57 inches, corresponding to a 4-inch diameter tire, regardless of what you enter elsewhere. If your tires are meaningfully larger or smaller than that, the speed estimate will be off by roughly the same proportion as the size difference.
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