Tags
applied physics, archery science, arrow speed, bow physics, crossbow physics, draw weight, empirical formula, energy transfer, historical weapons, projectile velocity
root(bow / arrow) * (material +- sd) = velocity
bow = the draw weight of the bow in kg (or a measuring unit the same as the arrow).
arrow = the mass of the arrow in kg (or a measuring unit the same as the bow).
material = the material multiplier, shown below for Compound, Yew, Composite Buffalo Horn, Maple, Steel.
sd = the standard deviation of the material multiplier.
velocity = the starting velocity of the arrow, in meters per second. For feet per second, add “/ 0.3048” to the end of the first half of the equation, e.g. “root(bow / arrow) * (material +- sd) / 0.3048 = velocity in fps”.
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