Calculate arrow speed from bow draw weight and draw length, or from chronograph data. Get kinetic energy, momentum, and game suitability analysis.
Arrow speed is one of the main inputs behind kinetic energy, trajectory, penetration potential, and effective range. This calculator estimates arrow velocity from bow specifications or from chronograph data so you can see the full ballistic picture.
The model treats the bow as stored energy converted into arrow motion with a user-adjustable efficiency factor. From that speed it derives kinetic energy, momentum, grains-per-pound ratio, flight time, and gravity drop to the target.
Preset bow types and the arrow-weight comparison table make it easier to see how a heavier arrow trades speed for momentum. A game-suitability chart then places those numbers into a hunting context without making you calculate each variant by hand.
Arrow setup is a tradeoff between speed, energy, and momentum. A light arrow can be fast but may give up penetration, while a heavier arrow may be slower but carry more momentum downrange.
Showing the values together makes it easier to compare setups instead of judging them by speed alone.
Stored energy = ½ × draw_weight × (draw_length / 12) ft-lbs. Arrow speed (fps) = √(2 × delivered_energy × 32.174 / mass_lbs). KE = ½mv². Momentum = mv. Gravity drop = ½gt².
Result: 268 fps, 55.8 ft-lbs KE
A 60 lb compound bow at 30" draw with 78% efficiency delivers ~58.5 ft-lbs to a 350-grain arrow. Speed ≈ 268 fps, producing 55.8 ft-lbs of kinetic energy — sufficient for most North American big game.
Archery physics presents a fundamental trade-off: lighter arrows fly faster but carry less momentum and kinetic energy per unit of frontal area. Heavier arrows are slower but penetrate better due to higher momentum. The optimal balance depends on your application — target archery favors speed for flat trajectory, while hunting benefits from heavy arrows for penetration.
Both KE and momentum matter for hunting. KE measures the total energy available for tissue destruction, while momentum determines how well the arrow maintains its path through resistance. Many experienced bowhunters now focus on momentum (recommending >0.4 slug·ft/s for big game) because it better predicts penetration through bone and hide.
IBO (International Bowhunting Organization) speed ratings are measured at 70 lbs draw weight, 30" draw length, and 350-grain arrow. Your actual speed will differ. For every inch under 30" draw, subtract ~10 fps. For every 10 grains of additional arrow weight, subtract ~5 fps. For every 3 grains of additional string weight (peeps, silencers), subtract ~1 fps.
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Most bowhunters aim for 250-300 fps. More important than raw speed is kinetic energy — you need at least 40 ft-lbs for deer and 55+ for elk. Heavy arrows can achieve this at moderate speeds.
Grains per pound (gr/lb) is the ratio of arrow mass to bow draw weight. Under 5 gr/lb is dangerously light and can damage bows. 6-8 gr/lb is standard, 10+ is heavy for maximum penetration.
Momentum = mass × velocity. Although heavier arrows are slower, the mass increase outweighs the velocity decrease. Higher momentum means better penetration through hide, bone, and tissue.
Bow efficiency is the percentage of stored limb energy transferred to the arrow. Modern compounds achieve 78-85%, recurves 65-75%, and longbows 60-70%. Energy lost goes into limb vibration, noise, and heat.
It is a reasonable approximation (±15 fps for compounds). Actual speed depends on cam design, string quality, arrow spine, and other factors. Use a chronograph for precise measurements.
Gravity constantly pulls the arrow downward at 9.81 m/s². The slower the arrow, the longer it is in flight, and the more it drops. At 20m, a 270 fps arrow drops about 4-5 cm.