Engine Displacement Calculator — CC, Liters & Cubic Inches
Calculate engine displacement using the formula: displacement = (π/4) × bore² × stroke × cylinders. Enter bore diameter (mm), stroke length (mm), and number of cylinders to get the total displacement in cubic centimeters (cc), liters (L), and cubic inches (cu in). For example: 86mm bore × 86mm stroke × 4 cylinders = 1998cc ≈ 2.0L.
Engine Displacement Calculator
Calculate engine displacement in cc, liters, and cubic inches from bore, stroke, and cylinder count.
Frequently Asked Questions
What is engine displacement?
Engine displacement is the total swept volume of all cylinders in an engine. It is usually expressed in cubic centimeters (cc), liters (L), or cubic inches (cu in). Larger displacement generally means more potential for power and torque, although tuning and efficiency also matter.
How do you calculate engine displacement?
For a single cylinder, displacement = (π / 4) × bore² × stroke. Multiply by the number of cylinders to get total displacement. Bore and stroke must use the same unit before converting the result into cc, liters, or cubic inches.
What is the difference between bore and stroke?
Bore is the cylinder diameter, and stroke is the distance the piston travels from top dead center to bottom dead center. A larger bore usually supports higher RPM breathing, while a longer stroke tends to increase low-end torque.
How do I convert cc to liters or cubic inches?
To convert cc to liters, divide by 1,000. To convert cc to cubic inches, divide by 16.387. For example, 2,000 cc is 2.0 liters or about 122.0 cubic inches.
Why does cylinder count matter?
Total engine displacement is the volume of one cylinder multiplied by the number of cylinders. A 4-cylinder and 6-cylinder engine can share the same bore and stroke but still have different total displacement because of the cylinder count.
About the Engine Displacement Calculator
About Engine Displacement
Engine displacement is the total volume swept by all pistons inside the cylinders of a reciprocating engine in a single movement from top dead center (TDC) to bottom dead center (BDC). It's one of the primary specifications of an engine and is closely related to power output, fuel consumption, and vehicle taxation in many countries.
Displacement is measured in cubic centimeters (cc), liters (L), or cubic inches (cu in) depending on the region and application.
Displacement Formula
Displacement = (π/4) × Bore² × Stroke × Cylinders
Where:
- Bore — Cylinder diameter (mm)
- Stroke — Piston travel distance from TDC to BDC (mm)
- Cylinders — Number of cylinders in the engine
- π/4 — Area of a circle (bore diameter to bore area conversion)
The formula calculates the volume of one cylinder (a circular cross-section swept through a stroke length) and multiplies by the number of cylinders.
Real Engine Examples
| Engine | Bore (mm) | Stroke (mm) | Cylinders | Displacement |
|---|---|---|---|---|
| Toyota 3S-GE (inline-4) | 86 | 86 | 4 | 1998 cc (2.0L) |
| Chevy 350 small-block V8 | 101.6 | 88.4 | 8 | 5735 cc (5.7L) |
| Honda CBR1000RR (inline-4) | 76 | 55.1 | 4 | 998 cc (1.0L) |
| Bugatti W16 | 86 | 86 | 16 | 7993 cc (8.0L) |
Unit Conversions
| From | To | Factor |
|---|---|---|
| cc (cm³) | Liters (L) | ÷ 1000 |
| cc (cm³) | Cubic inches (cu in) | × 0.0610237 |
| Liters (L) | cc (cm³) | × 1000 |
| Cubic inches | cc (cm³) | × 16.3871 |
Bore vs Stroke: Engine Character
The ratio of bore to stroke defines an engine's character:
- Over-square (bore > stroke) — High-revving, performance-oriented; typical in sports cars and motorcycles. Lower piston speeds allow higher RPM.
- Square (bore = stroke) — Balanced design; good combination of torque and power across RPM range.
- Under-square / long-stroke (stroke > bore) — Higher torque at lower RPM; typical in diesel engines and heavy-duty trucks.
Displacement and Power
While larger displacement generally means more power potential (more air/fuel mixture burned per cycle), modern turbocharged engines produce significantly more power per liter than naturally aspirated engines. A turbocharged 2.0L engine can produce as much power as a naturally aspirated 4.0L engine.
Specific power output (hp/L or kW/L) is a better measure of engineering sophistication than raw displacement. Formula 1 engines can produce over 300 hp/L from 1.6L turbocharged units.