Physics

Engine Displacement Calculator

Calculate total engine displacement from bore, stroke, and cylinder count.


Engine Displacement Calculator

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Find an engine’s total displacement — the combined swept volume of all its cylinders — from bore, stroke, and cylinder count.

How it works

Each cylinder’s volume is modeled as a simple cylinder: displacement = (π ÷ 4) × bore² × stroke × cylinders. A 4-cylinder engine with an 8.6 cm bore and 8.6 cm stroke displaces about 1,998 cm³ — close to a real 2.0-liter engine.

What this does not include

This models each cylinder as a perfect geometric cylinder. It doesn’t account for combustion chamber shape, valve pockets, or other real engine geometry that causes a manufacturer’s stated displacement to differ very slightly from this pure geometric calculation.

How to use this calculator

  1. Enter the cylinder bore diameter.
  2. Enter the piston stroke length.
  3. Enter the number of cylinders.

A worked example

A 4-cylinder engine with 8.6 cm bore and stroke: displacement = 1998.2289 cc (≈2.0 liters).

An 8-cylinder engine with 10.2 cm bore, 8.85 cm stroke: displacement = 5785.268 cc (≈5.8 liters).

What the variables mean

Variable Meaning
Bore Cylinder diameter
Stroke Distance the piston travels inside the cylinder
Cylinders Number of cylinders in the engine

Edge cases worth knowing

Total displacement scales directly with cylinder count — doubling the number of identical cylinders exactly doubles total displacement, which is why V8 engines typically displace far more than 4-cylinder engines even with similar bore and stroke.

A bore of zero collapses the cylinder to nothing, so the calculator declines to show a result for that input.

What’s the difference between bore and stroke?

Bore is the cylinder’s diameter; stroke is the distance the piston travels up and down inside it — together they define how much volume each cylinder sweeps per cycle.

Why is displacement usually expressed in liters or cc?

A liter (1,000 cm³) gives a convenient, easy-to-compare figure for total engine size — a “2.0-liter engine” is immediately more meaningful than its displacement in cubic inches or cubic centimeters alone.

Does a bigger displacement always mean more power?

Generally larger displacement allows for more power, but actual output also depends heavily on other factors like turbocharging, compression ratio, and engine tuning.

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Written by

R. Solano

Physics writer

R. Solano writes the physics calculators, spanning mechanics, electricity, optics and thermodynamics. Each page names the physical model it uses and the conditions under which that model holds — ideal gas, no air resistance, small-angle approximation — because a physics result without its assumptions is a number without a meaning. Formulas are given in symbols first, then in the calculator.

Reviewed by

V. Kowalski

Calculator reviewer — physics and engineering

V. Kowalski reviews the physics and engineering calculators, checking that each page states the physical model it assumes and that the stated model matches the formula actually implemented. Review covers unit consistency throughout a calculation and whether approximations are flagged where the underlying physics is more complicated than the formula suggests.

How we write and review

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