HistoryCalcAncient & Medieval Warfare Calculators
How far could a trebuchet throw, and how many men could a Greek city-state put in the field? These calculators estimate army size from population, compare hoplite phalanx strength, model catapult and trebuchet range, compare siege engines, count the arrows a longbow army needed, and measure how fast the Mongol Empire expanded. Each states its assumptions and shows a worked example, for students, writers and game designers.
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All War, Armies & Sieges Calculators
Ancient Greek City-State Population & Army Size Estimator
Estimate the population and military strength of any ancient Greek city-state (polis). Based on historically accurate formulas used by modern classical scholars.
Ancient Roman Catapult Range Calculator
Calculate the range, trajectory, and impact of ancient Roman catapults and ballistae. Enter projectile weight, launch angle, and tension to get accurate results.
Greek Hoplite Phalanx Battle Strength Calculator
Calculate the battle strength of a Greek hoplite phalanx. Input unit size, equipment, morale, and terrain to get combat effectiveness ratings.
Medieval Longbow Arrow Production Calculator
Calculate medieval longbow arrow production rates by skill level, tools, and workforce. Discover how many arrows a fletcher could craft per day in the Middle Ages.
Medieval Siege Engine Comparison Tool
Compare medieval siege engines by range, payload, crew size, and combat effectiveness. Trebuchet vs catapult vs ballista — find the best siege weapon for your scenario.
Medieval Trebuchet Range & Projectile Calculator
Calculate trebuchet range, projectile velocity, and flight time using real physics. Enter counterweight, arm ratio, and projectile mass for accurate results.
Mongol Empire Conquest Speed Calculator
Calculate the Mongol Empire's expansion rate, conquest speed, and territorial growth across history. Compare to modern nations with accurate historical data.