CalcCilindrada Motor
Last updated: 2026-05-07
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| Diameter Cilindro (mm) | Stroke (mm) (mm) | Number Cilindros | |
|---|---|---|---|
| City | 40 mm | 45 mm | 4 |
| Suburban | 60 mm | 68 mm | 4 |
| Highway | 80 mm | 90 mm | 4 |
| Long haul | 120 mm | 135 mm | 4 |
| International | 160 mm | 180 mm | 4 |
Engine Displacement Calculator: Determine Your Engine’s Cubic Capacity
The engine displacement calculator computes the total swept volume of all pistons in your engine based on bore diameter, stroke length, and cylinder count. Whether you are rebuilding an engine, comparing vehicles, or calculating compression ratios, knowing the exact displacement is essential for understanding an engine’s potential power output, fuel requirements, and classification for tax or racing purposes.
You may also find the Depth of Field Calculator, Hyperfocal Distance Calculator, and Fuel Consumption Calculator useful.
Engine Displacement Formula
D = (π/4) × b² × s × n
Where D is the total engine displacement in cubic centimeters (cc), b is the bore diameter in millimeters, s is the stroke length in millimeters, and n is the number of cylinders. The term (π/4) × b² calculates the area of the cylinder bore, and multiplying by the stroke gives the swept volume of one cylinder. Multiplying by the number of cylinders yields the total engine displacement.
To convert displacement from cubic centimeters to liters, divide by 1000. For example, an engine with 1998 cc of displacement is commonly called a 2.0-liter engine. The bore and stroke dimensions are typically stamped in the engine service manual or can be measured directly with a bore gauge and micrometer during engine rebuilding. Most production engines have bores between 70 mm and 105 mm and strokes between 70 mm and 100 mm.
Worked Examples
Example 1: Four-Cylinder Engine
A modern 2.0L four-cylinder engine has a bore of 82.5 mm and a stroke of 92.8 mm. What is its displacement?
Calculation: D = (π/4) × (82.5)² × 92.8 × 4 = 0.7854 × 6806.25 × 92.8 × 4 = 0.7854 × 6806.25 × 371.2 = 1984 cc
The displacement is 1984 cubic centimeters, or 1.98 liters, which rounds to the common 2.0L designation. This engine configuration is typical of modern turbocharged four-cylinder engines found in everything from family sedans to sport compacts, producing between 150 and 300 horsepower depending on turbocharging and tuning.
Example 2: V8 Muscle Car Engine
A classic American V8 has a bore of 101.6 mm (4.00 inches) and a stroke of 88.9 mm (3.50 inches). What is the displacement in cubic inches and cubic centimeters?
Calculation: D = (π/4) × (101.6)² × 88.9 × 8 = 0.7854 × 10322.56 × 88.9 × 8 = 0.7854 × 10322.56 × 711.2 = 5764 cc
Converting: 5764 cc ÷ 16.387 = 351.7 cubic inches. This is a 352 CID (cubic inch displacement) engine, which would be marketed as a 5.7L or 5.8L V8. Engines of this size were common in 1960s and 1970s muscle cars, producing substantial torque and typically making 250–350 horsepower in stock form with carbureted induction.
Common Uses
- Identifying an unknown engine by calculating displacement from measured bore and stroke dimensions during vehicle restoration
- Computing compression ratios by comparing cylinder volume at bottom dead center versus top dead center
- Determining vehicle tax classification and insurance brackets that are based on engine displacement in many countries
- Planning engine modifications such as boring cylinders oversize or changing stroke with a different crankshaft
- Comparing engine sizes when shopping for vehicles, especially in markets where displacement correlates with registration costs
- Calculating displacement for racing class eligibility where engine size determines competition category
Common Mistakes
- Forgetting to convert bore and stroke from inches to millimeters when using the metric formula — multiply inches by 25.4 to get millimeters
- Confusing bore with radius — the formula uses the bore diameter, not the radius. The π/4 factor accounts for using diameter, so do not divide the bore by 2
- Calculating single-cylinder displacement and forgetting to multiply by the number of cylinders, especially common with V engines where cylinders are easy to miscount
- Using nominal bore and stroke instead of actual measured values — after engine wear or overboring, the actual displacement differs from the factory specification
- Omitting the deck height contribution in high-performance engines where the piston may not reach the top of the cylinder at top dead center
Pro Tip
When building an engine for a specific racing class displacement limit, remember that overboring cylinders during a rebuild increases displacement. A standard 350 CID (5.7L) V8 with a 0.030-inch overbore becomes approximately 355 CID (5.8L). Always measure actual bore and stroke rather than relying on nominal values — production tolerances can make a claimed 2.0L engine actually displace anywhere from 1950 to 2050 cc. If you are machining a engine for maximum displacement within a class limit, calculate the maximum safe overbore with your machinist before ordering pistons. This ensures you stay legal while maximizing power potential.
Frequently Asked Questions
Engine displacement measures the total swept volume of all pistons in cubic centimeters or liters, representing the physical size of the engine. Horsepower measures the engine's power output. Generally, larger displacement engines can produce more power, but modern turbocharging and variable valve timing allow smaller engines to match the output of larger naturally aspirated engines while achieving better fuel economy.
Not always. While a larger displacement engine can potentially burn more fuel and air per cycle to produce more power, forced induction (turbocharging, supercharging), compression ratio, fuel type, valve timing, and engine tuning all significantly affect power output. A modern 2.0L turbocharged four-cylinder can produce 250–300 horsepower, matching many 5.0L naturally aspirated V8 engines from a decade ago.
All else being equal, larger displacement engines consume more fuel because they ingest more air and fuel per revolution. However, real-world fuel consumption depends heavily on driving habits, vehicle weight, transmission gearing, and engine load. A large engine operating at low RPM under light load can be more efficient than a small engine working hard at high RPM to produce the same power.
Bore is the diameter of each cylinder bore (the hole in the engine block where the piston moves). Stroke is the distance the piston travels from top dead center to bottom dead center. Engines are classified as oversquare (bore larger than stroke), undersquare (stroke larger than bore), or square (bore equals stroke). Oversquare engines tend to rev higher, while undersquare engines produce more torque at lower RPM.