Propeller Slip Calculator (Boat Prop Pitch, RPM and Speed)
How much a boat propeller slips, from the engine rpm, gear ratio, propeller pitch and the speed through the water, plus the theoretical top speed with no slip.
Results
What this tool does
Pitch is the distance a propeller would advance in one turn if it screwed through a solid, like a bolt. In water it never does, and the difference between that theoretical speed and your real speed is slip. A well-matched propeller on a planing boat commonly shows somewhere around 10–20 % slip; much higher can mean the pitch is too low or the hull is overloaded or fouled, and a negative figure means the speed reading is wrong or a current is helping, so use speed through the water, not GPS speed. 72,913 is the number of inches in a nautical mile.
Formula
theoretical speed = prop rpm × pitch × 60 ÷ 72,913 (inches in a nautical mile) · slip = (1 − actual speed ÷ theoretical speed) × 100
Variables
| Symbol | Meaning | Unit |
|---|---|---|
rp | Engine speed | rpm |
gr | Gearbox ratio (engine turns per propeller turn) | : 1 |
pt | Propeller pitch | in |
sp | Boat speed through the water | kn |
SL | Propeller slip | % |
TH | Theoretical speed (no slip) | kn |
TK | Theoretical speed in km/h | km/h |
PR | Propeller speed | rpm |
Worked example
- Engine speed3000 rpm
- Gearbox ratio (engine turns per propeller turn)1.5 : 1
- Propeller pitch17 in
- Boat speed through the water22 kn
- Propeller slip21.4 %
- Theoretical speed (no slip)28.0 kn
- Theoretical speed in km/h51.8 km/h
- Propeller speed2000 rpm
Limitations
- The formula assumes ideal conditions: no friction losses, no air resistance and no efficiency losses unless you enter them.
- Mixing units is the most common source of error. Convert every input to the units shown next to each field before calculating.