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.
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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.
적용 수학 공식 및 방정식
이 Compression Ratio Calculator는 5가지 핵심 수학 공식을 사용합니다:
1 Compression Ratio ▼
A cylinder with 500cc swept volume and 55cc clearance: CR = (500 + 55) / 55 = 10.09:1.
2 Swept Volume (Single Cylinder) ▼
Bore = 86mm, Stroke = 86mm: V = 0.7854 × 86² × 86 = 499.6 cc.
3 Clearance Volume from CR ▼
To achieve 9.5:1 with 500cc displacement: CV = 500 / (9.5 - 1) = 58.82 cc.
Explore all calculation options on the 비율 계산기 home page.
비율 계산기 사용법
이 비율 계산기는 아래의 3단계로 쉽게 사용할 수 있습니다:
수치 입력하기
입력 칸에 알고 있는 비율 값을 입력합니다. 구하려는 미지수 자리의 칸 하나는 비워둡니다.
모드 선택하기
비율 모드(풀기, 간소화, 스케일링)를 선택합니다. 각 모드는 입력한 수치에 맞춰 다른 공식들을 적용합니다.
결과 확인하기
계산하기 버튼을 누릅니다. 결과 화면에 정답과 함께 시각적인 비율 바, 원형 차트, 상세한 단계별 풀이 과정이 출력됩니다.
실제 예제 문제 및 단계별 풀이
비율 계산기를 활용하여 아래 3가지 예제 문제를 단계별로 해결하는 과정입니다:
입력 1 Engine with 600cc displacement and 60cc chamber
입력 2 Calculate displacement for 88mm bore, 82mm stroke
입력 3 Find clearance volume for 12:1 CR, 450cc displacement
자주 묻는 질문 (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.