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Engine horsepower cannot be directly calculated from bore and stroke. Bore and stroke are measurements of the engine's cylinders which contribute to the engine's total displacement, usually measured in litres or cubic inches. They are part of what determines an engine's efficiency and power potential, but are not the sole determinants.
Horsepower is calculated based on the torque an engine produces and at what speed (RPM). The formula is Torque x RPM ÷ 5252 = Horsepower.
However, you can determine the engine displacement with bore and stroke using the formula:
π/4 x (Bore)^2 x Stroke x Number of cylinders.
This gives you the size of the engine, which plays a big role in how much power an engine can produce, but it doesn't directly translate into a simple horsepower rating. Other factors like fuel delivery, air intake, exhaust system, mechanical efficiency, ignition system etc., also play significant roles in the horsepower output.