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Archery & Ballistic Physics

FOC Arrow Calculator (Front of Center Archery)

Calculate archery Front of Center (FOC) percentage, flight stability, and kinetic momentum.

🏹 Calculator Parameters
Throat of nock to end of carbon shaft
Distance where arrow balances on a ruler
Calculated Results
Front of Center (% FOC)
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Archery standard balance index
Flight & Hunting Category
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AMO / ASTM standard rating
Broadhead Stability
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Wind resistance rating

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How to Use the FOC Arrow Calculator (Front of Center Archery)

Front of Center (FOC) describes the percentage of an arrow’s total weight located in the forward half of the projectile. In archery ballistics, FOC acts as the guiding rudder of the arrow. If an arrow is rear-heavy (low FOC), the broadhead’s cutting blades catch the air like wind sails, causing the arrow to plane, wobble in flight, and bleed energy.

Formula and Calculation Methodology

% FOC = 100 × [(Balance Distance – (Arrow Length ÷ 2)) ÷ Arrow Length]
  • Balance Distance: Distance measured from throat of nock to balance point
  • Arrow Length: Overall length from bottom of nock groove to end of bare carbon shaft (excluding point)
  • AMO Standard: Archery Manufacturers Organization standardized formula for FOC balance

A higher FOC (12% to 18%) pulls the arrow straight toward the target, significantly improving fixed-blade broadhead grouping in variable crosswinds. Pioneering ballistic research by Dr. Ed Ashby established that high FOC significantly reduces shaft flex upon impact, driving kinetic momentum straight into bone and vital tissue.

Archery FOC Recommendations by Shooting Discipline

Archery DisciplineRecommended FOC %Primary BenefitCommon Point Weight
Olympic Recurve / Field7.0% – 10.0%Flattest trajectory at long range (70m)80 – 100 Grains
3D Archery (Unknown Distance)9.0% – 12.0%Fast arrow speeds, forgiveness on misjudged yardage100 Grains
Standard Whitetail Bowhunting11.0% – 15.0%Steers fixed-blade broadheads in crosswinds100 – 125 Grains
Heavy Game / Elk / Moose15.0% – 19.0%Enhanced penetration through ribs and shoulder blades150 – 175 Grains
Extreme FOC (Ashby Heavy Arrow)19.0%+Maximum momentum retention and bone penetration200+ Grains

Frequently Asked Questions

How do I increase my arrow’s FOC?

You can increase FOC by adding heavier field points/broadheads (e.g. switching from 100gr to 125gr or 150gr), installing brass shaft inserts, or using lighter fletchings and nocks.

Can an arrow have too much FOC?

Extreme FOC (>22%) causes a steeper trajectory drop at distances past 50 yards, requiring precise rangefinding, but offers unparalleled close-range penetration.

Where do I measure arrow length from for AMO FOC?

Measure from the deepest part of the nock throat (where the bowstring rests) to the end of the carbon shaft where the insert sits, excluding the threaded point.

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