Arrow Speed Calculator

Calculate arrow speed from bow draw weight, draw length, arrow weight, and efficiency using kinetic energy transfer principles.

ARROW SPEED
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Arrow Speed
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Kinetic Energy
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Momentum
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Stored Energy
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Arrow Speed Fundamentals

Arrow speed depends on the energy stored in the bow at full draw, the efficiency of energy transfer from the bow limbs to the arrow, and the arrow mass. Heavier arrows fly slower but carry more momentum, while lighter arrows fly faster with less kinetic energy. Compound bows typically achieve 80-85% efficiency, while traditional recurve bows are around 70-75%.

Arrow speed is one of the most important ballistic parameters for archers and bowhunters. Faster arrows have flatter trajectories, reducing the need for range estimation. However, momentum (mass times velocity) is what determines penetration on game animals, so there is always a trade-off between speed and arrow weight.

Energy Transfer Formula

Stored Energy = ½ × Draw Weight × Draw Length
KE = Stored Energy × Efficiency
v = √(2 × KE / mass)

The stored energy is the potential energy in the bow limbs at full draw. After accounting for energy lost to limb vibration, string oscillation, and noise, the remaining kinetic energy accelerates the arrow.

Typical Arrow Speeds

Bow TypeDraw WeightArrow WeightSpeed (fps)
Compound (hunting)70 lbs400 gr280-310
Compound (target)50 lbs350 gr250-270
Recurve45 lbs450 gr170-190
Longbow50 lbs500 gr150-170

FAQ

What is the minimum arrow weight?

The general rule is a minimum of 5 grains per pound of draw weight. For a 60 lb bow, that is 300 grains minimum. Shooting lighter arrows is called dry-firing and can damage the bow because excess energy stays in the limbs. Most manufacturers recommend 6-8 grains per pound.

Does arrow speed affect accuracy?

Faster arrows have flatter trajectories, reducing errors from range estimation. However, lighter arrows for speed are more affected by wind drift. The best accuracy comes from finding the right balance of speed, weight, and spine stiffness for your specific bow setup.

How is IBO speed measured?

The International Bowhunting Organization (IBO) standard measures speed at 70 lb draw weight, 30 inches draw length, and 350 grain arrow weight. This provides a standardized comparison between bows. Actual hunting speeds are typically 20-40 fps slower due to heavier arrows and shorter draw lengths.