Understanding the propeller pitch calculator — concept and principle
Choosing a boat propeller starts with pitch: how far the propeller would move forward in one turn if it did not slip. This calculator finds the pitch needed to reach a target top speed at a given engine rpm, gear ratio and expected slip, rounds it to a whole-inch propeller and shows the speed that pitch would give.
How it is calculated
Pitch (in) = speed (mph) × 1,056 × gear ratio ÷ (rpm × (1 − slip))
Propeller rpm = engine rpm ÷ gear ratio
Speed with a given pitch = pitch × propeller rpm ÷ 1,056 × (1 − slip)
- 1,056 converts mph to inches per minute: 63,360 in per mile ÷ 60 min.
- Speeds in km/h or knots are converted to mph (1 mile = 1.609344 km, 1 knot = 1.852 km/h).
The principle
Pitch is like the thread of a screw: one revolution would advance the propeller by its pitch in a solid medium. Multiply pitch by propeller revolutions per minute and you get the theoretical forward travel per minute. Water is not solid, so the propeller slips; some slip is necessary to create thrust. The actual speed is the theoretical speed reduced by the slip fraction. Rearranging gives the pitch needed for a target speed.
Worked example
Default inputs: target 45 mph, 5,500 rpm, gear ratio 2.0, slip 10%.
- Propeller rpm = 5,500 ÷ 2.0 = 2,750.
- Pitch = 45 × 1,056 × 2.0 ÷ (5,500 × 0.90) = 95,040 ÷ 4,950 = 19.2 in = 488 mm.
- Nearest whole-inch pitch = 19 in.
- Speed with a 19-in prop = 19 × 2,750 ÷ 1,056 × 0.90 = 44.5 mph.
- Target speed = 45 mph = 72.4 km/h.
| Engine rpm at wide-open throttle | Propeller pitch needed (in) |
|---|---|
| 1,375 | 76.8 |
| 2,750 | 38.4 |
| 4,125 | 25.6 |
| 5,500 | 19.2 |
| 6,875 | 15.4 |
| 8,250 | 12.8 |
| 11,000 | 9.6 |
How to read the result
Pitch and engine rpm work against each other: more pitch gives more speed per revolution but makes the engine work harder, lowering rpm. As a rough guide, many boaters find that each inch of pitch changes full-throttle rpm by around 150–200 rpm, but this varies. Always check that the engine still reaches the maker's recommended wide-open-throttle rpm range with the new propeller; running below it can overload the engine.
Common mistakes
- Using crankshaft rpm without the gear ratio.
- Assuming zero slip.
- Choosing pitch for speed alone and ignoring the engine's rpm range.
- Mixing mph, km/h and knots.
Frequently asked questions
What does a 19-inch pitch mean?
In one revolution, without slip, the propeller would move 19 inches forward.
How much slip is normal?
It varies; light, fast boats usually have less slip than heavy or slow ones.
Does more pitch always mean more speed?
Only if the engine can still reach its rated rpm; otherwise speed can drop.
Where do I find the gear ratio?
In the engine or outdrive manual, often written like 2.00:1.
Sources: Geometric pitch definition (forward travel per revolution); 1 mile = 63,360 in, 1.609344 km; 1 knot = 1.852 km/h