Engine Cubic Inch Calculator
Understanding Engine Cubic Inches (Displacement)
Engine displacement, often measured in cubic inches (CI) in the United States or liters (L) elsewhere, is a fundamental specification that describes the total volume swept by all the pistons in an engine's cylinders. It's a key indicator of an engine's potential power output and is directly related to how much air and fuel an engine can consume and burn during each complete cycle.
Why is Engine Displacement Important?
- Power and Torque: Generally, a larger displacement engine can produce more power and torque because it can ingest and combust a greater volume of air-fuel mixture.
- Fuel Efficiency: While larger engines often mean more power, they typically consume more fuel. However, modern engine design and technology can significantly impact this relationship.
- Vehicle Classification: Engine displacement is often used for vehicle classification, taxation, and racing regulations.
- Engine Character: Larger displacement engines often have a different "feel" or character, sometimes offering more low-end torque and a smoother power delivery.
How is Cubic Inch Displacement Calculated?
The calculation for engine displacement involves three primary measurements:
- Bore: The diameter of each cylinder.
- Stroke: The distance the piston travels from its highest point (Top Dead Center – TDC) to its lowest point (Bottom Dead Center – BDC).
- Number of Cylinders: The total count of cylinders in the engine.
The formula for calculating the volume of a single cylinder is based on the volume of a cylinder in geometry: π × (radius²) × height. In engine terms, the radius is half the bore, and the height is the stroke. So, for one cylinder:
Volume per cylinder = π × (Bore/2)² × Stroke
To get the total engine displacement, you multiply the volume of one cylinder by the total number of cylinders:
Total Displacement (CI) = (π / 4) × Bore² × Stroke × Number of Cylinders
Using π ≈ 3.14159, the formula simplifies the (Bore/2)² to (Bore² / 4).
Example Calculation:
Let's calculate the displacement for a common V8 engine:
- Bore: 4.00 inches
- Stroke: 3.48 inches
- Number of Cylinders: 8
Volume per cylinder = 3.14159 × (4.00/2)² × 3.48
Volume per cylinder = 3.14159 × (2.00)² × 3.48
Volume per cylinder = 3.14159 × 4.00 × 3.48
Volume per cylinder ≈ 43.75 cubic inches
Total Displacement = 43.75 × 8
Total Displacement ≈ 350.00 cubic inches (CI)
This calculation reveals a classic 350 cubic inch engine, a very popular size in American muscle cars and trucks.
Use the calculator above to quickly determine the cubic inch displacement of any engine by simply entering its bore, stroke, and number of cylinders.