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⚙️ Specific Impulse 計算機

專業免費的 Specific Impulse 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)
203.94 seconds (s)
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What Is Specific Impulse?

Specific impulse (Isp) is the key performance measure of a rocket engine or jet propulsion system. It tells you how efficiently a propellant is converted into thrust — essentially how many seconds one unit weight of propellant can produce one unit of thrust. A higher Isp means more efficient use of propellant, which directly affects how much payload a rocket can carry and how far it can travel.

How to Use This Calculator

Enter three values: the thrust F in newtons, the propellant mass flow rate ṁ in kilograms per second, and the standard gravity g₀ (default 9.80665 m/s²). The calculator returns the specific impulse in seconds and the effective exhaust velocity in metres per second.

The Formula Explained

The governing equation is

I_{sp} = ((F) ÷ (\dot{m} · g_0))
Thrust divided by mass flow rate gives the effective exhaust velocity (ve) in m/s. Dividing that by standard gravity converts it into the more commonly quoted Isp expressed in seconds. Engineers use seconds because it is independent of the unit system, making engine comparisons easy worldwide.

Worked Example

Suppose an engine produces 1,000 N of thrust while consuming propellant at 0.5 kg/s, with g₀ = 9.80665 m/s². Then

v_e = ((1000) ÷ (0.5)) = 2000 m/s
and
I_{sp} = ((2000) ÷ (9.80665)) ≈ 203.94 seconds
This is typical of a modest chemical thruster.

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。

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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。

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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。

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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)

Why is Isp measured in seconds?
Dividing exhaust velocity by g₀ removes unit dependence, so the same number works in metric or imperial systems.
What is a good Isp?
Solid rockets are ~250 s, liquid kerosene engines ~300–340 s, hydrogen engines ~450 s, and ion thrusters can exceed 3,000 s.
Does Isp depend on altitude?
Yes — engines usually have higher Isp in vacuum than at sea level because back pressure reduces effective thrust.