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Calculate propeller advance ratio with speed, RPM, and diameter. Use our easy calculator for boat and aircraft propeller checks.
| Equation | Solves For | Notes |
|---|---|---|
| J = V_A ÷ (n × D) | Advance ratio | ITTC standard, n in rev/s |
| n = RPM ÷ 60 | Rotational speed | Convert RPM to rev/s first |
| J = 60 × V_A ÷ (RPM × D) | Advance ratio | Direct form using RPM |
| V_A = J × n × D | Advance speed | |
| D = V_A ÷ (J × n) | Propeller diameter | |
| λ = π n D ÷ V_A = π ÷ J | Related ITTC quantity | Not the same as J — do not confuse the two |
A Propeller Advance Ratio calculator helps you find how a prop moves through water or air. It compares advance speed with prop speed and size. You can use it for boat or aircraft prop work. It can also help with prop choice and basic prop sizing.
Our calculator uses the standard propeller advance ratio formula. You enter speed, RPM, and prop size. The tool then gives the advance ratio. It can also solve for speed, RPM, or prop size.
The main formula is:
J = VA / (n × D)
Here, J is the advance ratio. VA is advance speed. n is prop speed in rev/s. D is prop diameter.
If you have RPM, first use:
n = RPM / 60
So, you can also use:
J = 60 × VA / (RPM × D)
The result has no unit. Think of J as a speed-to-spin match. A higher or lower value can change how a prop works.
Let’s say a boat prop has an advance speed of 6 m/s. Its speed is 1,200 RPM. Its diameter is 2 m.
First, find rev/s:
n = 1,200 / 60 = 20 rev/s
Next, find n × D:
n × D = 20 × 2 = 40
Now find J:
J = 6 / 40 = 0.15
So, the propeller advance ratio is 0.15.
This is like comparing road speed with wheel spin. The prop moves forward while it turns. The ratio shows how those two actions match.
The Propeller Advance Ratio calculator gives a quick way to find J. The key formula is J = VA / (n × D). Convert RPM to rev/s before you calculate. You can use the result for boat props, aircraft props, and basic prop checks.
Use J = VA / (n × D). Convert RPM to rev/s first.
A common open-water formula is:
η₀ = J × KT / (2π × KQ)
It needs thrust and torque data.
There is no single best value. Lower slip can mean better use of pitch. The right value depends on the boat and prop.
A higher pitch can raise speed. But too much pitch can lower engine RPM. The right pitch must match the engine, hull, and load.
Yes. Enter the boat’s advance speed, prop RPM, and prop diameter.
Yes. The same J formula applies when you use the right advance speed and prop data.
No. Advance ratio and prop slip are linked, but they aren’t the same value.
It helps with prop checks. Full prop sizing needs more data. This may include power, load, pitch, and engine speed.
A good tool uses the standard J formula. It should also handle unit changes with care. Our Propeller calculator does both.