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Compression Ratio Calculator

Calculate your engine's compression ratio from cylinder swept volume and combustion chamber clearance volume. Model the effects of head milling, piston changes, and gasket thickness on compression — critical for engine builders, performance tuners, and automotive engineers.

Compression Ratio Calculator — リアルタイム比率プレビュー
Compression Ratio
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        What is Compression Ratio?

        Compression ratio (CR) is the ratio of the total cylinder volume when the piston is at bottom dead center (BDC) to the remaining volume when the piston reaches top dead center (TDC). Expressed as CR:1, it quantifies how much the air-fuel mixture is compressed before ignition. A 10:1 compression ratio means the cylinder's total volume is ten times greater than its clearance volume, compressing the charge to one-tenth its original size.

        Higher compression ratios increase thermodynamic efficiency by extracting more energy from each combustion cycle, producing more power and better fuel economy. However, higher compression requires higher octane fuel to resist pre-ignition (knock). Typical gasoline engines run 9:1 to 13:1, while diesel engines — which ignite fuel through compression alone — operate at 14:1 to 25:1.

        使用される計算公式・方程式

        この計算ツールは5つの主要な公式を使用しています:

        1 Compression Ratio ▼
        CR = (Swept Volume + Clearance Volume) / Clearance Volume

        A cylinder with 500cc swept volume and 55cc clearance: CR = (500 + 55) / 55 = 10.09:1.

        2 Swept Volume (Single Cylinder) ▼
        Swept Volume = π/4 × Bore² × Stroke

        Bore = 86mm, Stroke = 86mm: V = 0.7854 × 86² × 86 = 499.6 cc.

        3 Clearance Volume from CR ▼
        Clearance Volume = Swept Volume / (CR - 1)

        To achieve 9.5:1 with 500cc displacement: CV = 500 / (9.5 - 1) = 58.82 cc.

        Explore all calculation options on the 比率計算ツール home page.

        比率計算ツールの使い方

        この比率計算ツールは、以下の3ステップで簡単にご利用いただけます:

        1

        数値を入力

        入力欄に既知の比率の値を入力します。求めたい未知数の入力欄は空欄のままにしておきます。

        2

        モードを選択

        比率モード(解く、簡素化、スケーリング)を選択します。各モードで異なる計算式が適用されます。

        3

        結果を確認

        計算するボタンを押します。結果画面に答えと、視覚的な比率バー、円グラフ、詳細なステップバイステップの解決プロセスが表示されます。

        実例問題と段階的な解説

        本比率計算ツールを使って、以下の3つの例題をステップバイステップで解決するプロセスです:

        入力 1 Engine with 600cc displacement and 60cc chamber
        1 Identify swept volume (V_d = 600cc) and clearance volume (V_c = 60cc).
        2 Apply formula: CR = (V_d + V_c) / V_c = (600 + 60) / 60.
        3 Compute: 660 ÷ 60 = 11.0.
        ✓ Compression Ratio is 11.0 : 1
        入力 2 Calculate displacement for 88mm bore, 82mm stroke
        1 Convert dimensions to cm: Bore radius r = 8.8 / 2 = 4.4 cm, Stroke S = 8.2 cm.
        2 Calculate cylinder volume: π × r^2 × S = 3.14159 × 19.36 × 8.2 = 498.7cc per cylinder.
        3 Multiply by 4 cylinders for total displacement: 498.7 × 4 = 1,995cc.
        ✓ Cylinder Volume is 498.7cc (2.0L 4-Cyl Engine)
        入力 3 Find clearance volume for 12:1 CR, 450cc displacement
        1 Rearrange formula: V_c = V_d / (CR - 1).
        2 Substitute values: V_c = 450 / (12 - 1) = 450 / 11.
        3 Compute: 450 ÷ 11 = 40.91cc.
        ✓ Clearance Volume needed is 40.91cc

        よくある質問 (FAQ)

        What compression ratio is best for pump gas (87 octane)? ▼

        For 87 octane regular gas, keep static compression at or below 9.5:1. Modern engines with direct injection and variable valve timing can safely run 10:1 to 11:1 on regular fuel due to advanced knock detection and combustion chamber design.

        How does compression ratio affect horsepower? ▼

        Each 1-point increase in compression ratio typically yields 3-4% more power, up to a practical limit. Going from 9:1 to 10:1 might add 10-15 HP on a 300 HP engine. Beyond about 13:1 on pump gas, detonation risk outweighs the diminishing power gains.

        What is the compression ratio of a diesel engine? ▼

        Diesel engines run 14:1 to 25:1 compression ratios. The extreme compression heats intake air to 500°C+, enough to auto-ignite diesel fuel without spark plugs. Modern common-rail diesels typically use 16:1 to 18:1 for an optimal balance of efficiency and emissions.

        How do I measure clearance volume? ▼

        Seal the combustion chamber with the valves closed (use light grease or modeling clay), mount the head with spark plug hole up, and fill with isopropyl alcohol or light oil from a graduated burette. The volume of fluid needed to fill the chamber equals the clearance volume.

        Does milling the head increase compression ratio? ▼

        Yes. Milling (surfacing) the cylinder head removes material from the deck surface, reducing combustion chamber volume and therefore increasing compression ratio. Removing 0.010 inches typically raises CR by 0.1 to 0.2 points, depending on original chamber size.

        What compression ratio do I need for a turbo engine? ▼

        Most turbocharged gasoline engines use 8.5:1 to 9.5:1 static compression, depending on boost pressure and intercooling. Lower compression allows higher boost without detonation. Modern factory turbo engines run up to 10.5:1 with sophisticated knock control and direct injection.

        How does bore size affect compression ratio? ▼

        Boring the cylinders increases swept volume while clearance volume stays the same, raising compression ratio. A 0.030-inch overbore on a 4.000-inch cylinder increases displacement by about 1.5%, raising CR by approximately 0.15 points.

        What is the difference between static and dynamic compression ratio? ▼

        Static CR is calculated from physical volumes (geometric). Dynamic CR accounts for when the intake valve actually closes — if it closes after BDC (common with performance cams), some charge escapes, lowering effective compression. Dynamic CR better predicts actual cylinder pressure and knock tendency.

        Can I increase compression ratio without changing pistons? ▼

        Yes. You can mill the cylinder heads to reduce chamber volume, use a thinner head gasket, or deck the block to bring pistons closer to the head surface. Each method reduces clearance volume without replacing pistons.

        What compression ratio is safe for E85 ethanol? ▼

        E85 has an effective octane rating of about 105, allowing compression ratios of 12:1 to 14:1 for naturally aspirated engines. Turbocharged E85 engines can run 10:1 to 11:1 with significant boost. E85's high octane and cooling effect provide excellent knock resistance.

        How does altitude affect compression ratio requirements? ▼

        At higher altitudes, atmospheric pressure is lower, effectively reducing the charge density entering the cylinder. This allows slightly higher compression ratios without knock. Some mountain-region vehicles run 0.5 to 1.0 CR points higher than sea-level specs safely.

        比率の理論を学ぶ

        比率とは具体的に何ですか?

        比率とは、2つ以上の数量の大きさを互いに比較して相対的な割合を表した数値です。記号では A : B のように表し、「Aの量に対してBの量が対応する」という相互関係を意味します。例えば、3 : 4 の比率は、Aが3つ分配されるときBは4つマッチするという正比例関係を持ちます。料理、工学設計、財務分析など日常のあらゆる場面で使われます。

        比例式はどのように解きますか?

        比例式は、2つの比率の値が等しいことを表す等式です(A : B = C : D)。外項の積(A × D)と内項 of 積(B × C)は常に等しくなります。未知数 D を求めるには、内項の積を求め、それをもう一方の外項 A で割ります: D = (B × C) / A。当ツールの比例式解決モードに既知の3つの数値を入力すれば、未知数を即座に算出できます。

        比率はどのように簡単に整理しますか?

        2つの数値の最大公約数(GCD)を求めた後、両方の数値をその最大公約数で割って約分します。例えば 24 : 36 の場合、24と36の最大公約数が 12 なので、両方を 12 で割ると最も簡単な自然数の比である 2 : 3 になります。比率計算ツールがGCDの算出と約分を自動的に処理します。

        比率のスケーリングはいつ使用しますか?

        比率の関係を崩さずに全体の分量を増やしたり減らしたりするときに使用します。例えば、2 : 5 の割合の材料があるとき、両方に 3 を掛ければ 6 : 15 になり、同じ比重を保ったまま3倍の量の配合物を準備することができます。パン生地の容量変更や、図面の縮尺変更に欠かせません。

        比率と分数の違いは何ですか?

        比率(A : B)は同等の要素同士の大きさの比較(部分対部分)に適しており、分数(A/B)は全体の中である要素が占める割合(部分対全体)を表現することが多いです。ただし、比率 3 : 4 も分数 3/4(小数で0.75)として表現できます。使われる文脈や意味合いにおいてニュアンスの違いがあります。