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📐 Boat Propeller Pitch 計算機

專業免費的 Boat Propeller Pitch 計算機。純前端本機毫秒級計算、零資料上傳、極致隱私保護。提供詳細公式推導、實例示範與常見問答。

即時推算結果 (Computed Output)
14.08 inches
專業公認計算模型,即時運算完畢
📜 計算歷史記錄 (試算軌跡)
尚無歷史記錄,每次點擊「計算」將在此留下試算軌跡...

What This Calculator Does

The Boat Propeller Pitch Calculator estimates the propeller pitch (in inches) your boat needs to reach a chosen top-end speed. Pitch is the theoretical distance a propeller moves forward in one full revolution. By combining your target speed with engine RPM, gear (lower unit) ratio and expected slip, it points you toward a prop that lets the engine spin in its ideal operating range.

The Formula Explained

Speed depends on how fast the prop shaft turns and how far each turn should carry the boat. The core relationship is:

P = ((S × 63360) ÷ (R_p × 60 × (1 - s)))

where P = pitch in inches, S = target speed in mph, R_p = propeller shaft RPM, and s = slip as a decimal. The constant 63360 converts miles to inches (5280 × 12), and 60 converts hours to minutes. The shaft RPM comes from the engine RPM N and gear ratio G:

R_p = ((N) ÷ (G))

Slip accounts for the fact that a prop never advances its full geometric pitch through water; typical values range from 8% to 15%.

How To Use It

Enter the speed you want to achieve, the engine RPM you expect at that speed, your lower unit gear ratio, and an estimated slip percentage. The calculator returns the ideal pitch and the resulting prop shaft RPM. Round to the nearest available pitch when shopping for a propeller.

Worked Example

Suppose you want 30 mph at 5000 engine RPM with a 2.0{:}1 gear ratio and 10% slip. First the shaft RPM:

R_p = ((5000) ÷ (2.0)) = 2500

Then the pitch:

P = ((30 × 63360) ÷ (2500 × 60 × 0.90)) = ((1900800) ÷ (135000)) = 14.08 in

So a 14-inch pitch prop is a strong starting point.

Pitch Across Common Setups

Each row applies this calculator's formula, Pitch (in) = \dfrac{Speed × 63360}{≤ft(((Engine RPM) ÷ (Gear Ratio))\right) × 60 × ≤ft(1 - ((Slip) ÷ (100))\right)}, where 63360 is the number of inches in one statute mile (so the target speed is in mph and pitch in inches — US customary units). Shaft RPM is the engine RPM divided by the gear ratio. Values are rounded to two decimals.

Target speed (mph) Engine RPM Gear ratio Slip (%) Shaft RPM Pitch (in)
25 5000 2.0 10 2500 11.73
30 5000 2.0 10 2500 14.08
30 5000 2.0 12 2500 14.40
30 5800 1.8 12 3222 11.17
40 5800 1.8 10 3222 14.57
25 4500 2.3 12 1957 15.33

Worked example (row 1), with full substitution: \dfrac{25 × 63360}{≤ft(((5000) ÷ (2.0))\right) × 60 × ≤ft(1 - ((10) ÷ (100))\right)} = \dfrac{1584000}{2500 × 60 × 0.90} = \dfrac{1584000}{135000} = 11.73 in.

Notice that a lower shaft RPM (from a numerically higher gear ratio or lower engine RPM) demands more pitch to reach the same speed, while higher slip also pushes the required pitch down slightly. These are theoretical estimates; hull design, weight and prop diameter also affect real-world results.

Choosing Your Propeller

The calculated pitch is a starting estimate, not an exact part number. Propellers are typically sold in whole 1- or 2-inch pitch increments, so you will pick the nearest available size rather than a decimal value.

  1. Round to the nearest stocked pitch. If the formula returns 14.57 in, you will realistically choose a 15-inch prop (or compare a 14 vs. 16 if that is what your line offers).
  2. Use pitch to tune RPM. As a widely used rule of thumb, dropping about 1 inch of pitch typically raises wide-open-throttle RPM by roughly 150–200 RPM, and adding about 1 inch lowers it by a similar amount. Use this to nudge the engine toward the RPM you want.
  3. Stay inside the wide-open-throttle (WOT) range. Verify the chosen prop keeps the engine within the RPM band specified by your engine manufacturer. Running below the range lugs the engine; running above it risks over-revving. Always defer to your specific engine's manual.
  4. Test on the water, then adjust. Load the boat as you normally run it, record actual WOT RPM and GPS speed, and step pitch up or down one increment if you are outside the target band.

This is general guidance for estimation and tuning. For engine-specific limits, warranty and safe operation, follow your engine and propeller manufacturer's documentation.

使用注意事項與精準校對原則(6 大核心守則)

📐 1. 嚴格對齊輸入量綱與單位

輸入各項數值時請務必確認量綱(例如小時、天數、金額、百分比),避免單位不匹配引發推算偏差。

🔒 2. 純前端本機毫秒級隱私保障

所有計算邏輯 100% 在您的終端瀏覽器內完成,資料絕不上傳伺服器,嚴格守護商業與個人隱私。

📊 3. 符合公認學術與產業計算模型

演算法嚴格遵循國際通用數學公式與標準計算模型,經多重情境交叉核對,數值嚴密精確。

📋 4. 一鍵複製與免登入 PDF 匯出

支援一鍵複製推算結果字串至剪貼簿,亦可直接點擊列印按鈕輸出純淨 PDF 工作報表。

🔄 5. 多情景敏感度動態對比

建議針對極端值與多組預期情景分別試算,觀察輸出數據的波動區間,輔助做出更穩健的決策。

🛡️ 6. 專業諮詢與日常參考免責聲明

本工具運算結果供日常排程、學業研習與事前參考之用,如涉及重大法規或投資決策請諮詢持證專家。

常見問題 (FAQ)

Does higher pitch mean more speed?
More pitch increases potential top speed but reduces acceleration and can lug the engine below its RPM range.
What slip should I use?
Efficient hulls run 8–10%; heavier or less efficient setups run 12–15%.
Is this exact?
It is a solid estimate; hull load, trim and prop design still affect real results.