The RC gear ratio is the single most impactful tuning variable on any remote-control car. Change it and you change top speed, acceleration, motor temperature and even battery run time — all without touching the electronics. This calculator gives you the exact ratio, drive-shaft RPM and estimated top speed from your pinion and spur tooth counts, plus the ability to work backwards from a target ratio or a desired speed to find the pinion you need to buy.
How it works
The fundamental formula is beautifully simple:
Gear Ratio (GR) = Spur Teeth ÷ Pinion Teeth
A 72-tooth spur paired with a 25-tooth pinion produces GR = 72 ÷ 25 = 2.88:1. The motor shaft turns 2.88 times for every single revolution of the spur gear (and, after any internal drive-train reduction, the drive axle).
To convert that into speed the calculator chains three more steps:
- No-load motor RPM = Kv × battery voltage. A 3,500 Kv motor on a 7.4 V 2S LiPo pack produces roughly 25,900 RPM at the pinion.
- Drive-shaft RPM = motor RPM ÷ gear ratio. At 2.88:1 that is about 8,993 RPM at the spur.
- Pitch speed = drive-shaft RPM × wheel circumference (π × diameter in metres) ÷ 60 seconds.
For a 60 mm-diameter tyre the circumference is π × 0.060 ≈ 0.1885 m, giving a theoretical top speed of 8,993 × 0.1885 / 60 ≈ 28.2 m/s = 101 km/h. Real-world speed is 15–25% lower because of motor load, drivetrain losses and tyre flex.
The solve-for modes rearrange these formulas algebraically:
- Solve for spur → Spur = Pinion × Target ratio
- Solve for pinion → Pinion = Spur ÷ Target ratio
- Solve for pinion from speed → Pinion = (V_target × 60 × Spur) ÷ (Kv × Voltage × π × Diameter)
Worked example
Suppose you are building a 1/10 touring car with a 3,500 Kv motor, 7.4 V 2S pack and 60 mm tyres. You start with a 25T pinion and 72T spur:
| Metric | Value |
|---|---|
| Gear ratio | 2.88:1 |
| Motor no-load RPM | 25,900 |
| Drive-shaft RPM | 8,993 |
| Estimated top speed | ~101 km/h (63 mph) |
| Torque multiplier | 2.88× |
The motor runs hot after a few laps. You switch to a 23T pinion (ratio = 72 ÷ 23 = 3.13:1), dropping estimated speed to ~93 km/h but raising the torque multiplier and cutting motor temperature noticeably. One tooth change is all it takes.
Now suppose you want to hit exactly 80 km/h with that same motor on the same 72T spur. Switch the calculator to “Solve for pinion from speed” and it tells you: Pinion = (80/3.6 × 60 × 72) ÷ (3,500 × 7.4 × π × 0.060) ≈ 18T — so you need an 18-tooth pinion.
Formula reference
GR = Spur / Pinion
RPM_mot = Kv × V_bat (no-load approximation)
RPM_drv = RPM_mot / GR
C_wheel = π × D_mm / 1000 (metres)
v (m/s) = RPM_drv × C_wheel / 60
v (km/h) = v (m/s) × 3.6
Inverse (find pinion for speed):
Pinion = (v_target_kmh / 3.6 × 60 × Spur) / (Kv × V_bat × π × D_m)
All calculations run entirely in your browser — no data is sent to any server.