RPM Calculator
Engine speed, gear ratios, tire size & angular velocity — all in one tool.
Results update instantly as you type — no button press needed.
Calculate RPM from Vehicle Speed
Enter speed, gear ratio, axle ratio, and tire size to find engine RPM.
Calculate Speed from RPM
Given RPM, gear ratio, and tire size — find vehicle speed.
Gear Ratio Calculator
Know input and output shaft RPM? Find the gear ratio.
Angular Velocity Converter
Convert between RPM, rad/s, Hz, and degrees per second.
What is RPM?
RPM stands for Revolutions Per Minute. It is a unit of rotational speed — the number of complete 360° rotations a shaft, wheel, or disc makes in one minute. In automotive contexts, engine RPM refers to how fast the crankshaft is spinning.
Your car's tachometer shows engine RPM in real time. At idle, most gasoline engines run between 600–1,000 RPM. Under hard acceleration on a highway, they may reach 5,000–6,500 RPM. The redline is the manufacturer's maximum safe RPM — exceeding it risks mechanical damage.
RPM Formula for Vehicles
The relationship between vehicle speed and engine RPM depends on three factors: the transmission gear ratio, the final drive (axle) ratio, and the tire circumference:
Where:
- Speed (km/h) — vehicle road speed in kilometers per hour
- Gear Ratio — the transmission gear ratio for the currently selected gear (e.g. 1st gear ≈ 3.5, 4th gear ≈ 1.0)
- Axle Ratio — the final drive ratio in the differential (typically 3.5–4.1 for cars)
- Tire Circumference (m) — outer rolling circumference of the tire in meters = π × (tire diameter in m)
- 0.06 — unit conversion constant (= 1/60 × 3.6; converts km/h and minutes to consistent units)
How to Find Tire Diameter from a Tire Code
A tire size code like 205/55R16 encodes three values:
- 205 — section width in millimeters
- 55 — aspect ratio (sidewall height as % of width) → sidewall = 205 × 0.55 = 112.75 mm
- 16 — rim diameter in inches → 16 × 25.4 = 406.4 mm
Total diameter = rim + 2 × sidewall = 406.4 + 2 × 112.75 = 631.9 mm (≈ 632 mm)
Circumference = π × 0.6319 m ≈ 1.985 m
Angular Velocity Conversions
RPM can be converted to other angular velocity units used in physics and engineering:
| RPM | rad/s | Hz (rev/s) | °/s |
|---|---|---|---|
| 600 | 62.83 | 10.00 | 3,600 |
| 1,000 | 104.72 | 16.67 | 6,000 |
| 2,000 | 209.44 | 33.33 | 12,000 |
| 3,000 | 314.16 | 50.00 | 18,000 |
| 4,000 | 418.88 | 66.67 | 24,000 |
| 6,000 | 628.32 | 100.00 | 36,000 |
Conversion formulas:
- rad/s = RPM × π / 30
- Hz = RPM / 60
- °/s = RPM × 6
Common Gear Ratios Reference
Typical values for a 5-speed manual transmission passenger car and a rear-wheel-drive differential:
| Gear | Typical Ratio | Character | RPM at 60 km/h* |
|---|---|---|---|
| 1st | 3.50 : 1 | Maximum torque multiplication | ≈ 4,150 |
| 2nd | 2.10 : 1 | Strong acceleration | ≈ 2,490 |
| 3rd | 1.40 : 1 | Medium-range cruising | ≈ 1,660 |
| 4th | 1.00 : 1 | Direct drive | ≈ 1,185 |
| 5th (OD) | 0.80 : 1 | Overdrive / fuel economy | ≈ 950 |
| * Axle ratio 3.90, tire 205/55R16 (circ. 1.985 m) | |||
| Final Drive Ratio | Typical Use |
|---|---|
| 3.27 : 1 | Economy-focused (Honda Civic, Toyota Corolla) |
| 3.55 : 1 | Common mid-range (Ford Focus, Mazda3) |
| 3.73 : 1 | Balanced performance (Subaru WRX) |
| 3.90 : 1 | Performance cars, light trucks |
| 4.10 : 1 | Trucks, off-road, towing |
Example Calculation — 2008 Honda Civic at 60 mph in 4th Gear
Specifications: 4th gear ratio = 0.966, final drive = 4.266, tire 195/65R15 (diameter ≈ 620.3 mm, circumference ≈ 1.949 m)
This matches the expected cruise RPM of a 2008 Civic at 60 mph in 4th gear, which is approximately 3,400 RPM according to owner reports — confirming the formula accuracy.