Arrow Speed Calculator

Calculate arrow speed from bow draw weight and draw length, or from chronograph data. Get kinetic energy, momentum, and game suitability analysis.

Arrow Speed Calculator

lbs
inches
Typical: 70-85% for compounds, 65-75% recurves
%
Total arrow weight including point, fletchings, nock
grains
For flight time and drop calculation
meters
Arrow Speed
274.4 fps
83.6 m/s · 301 km/h · 187 mph
Kinetic Energy
58.5 ft-lbs
79.3 J — KE = ½mv²
Momentum
1.897 kg·m/s
Higher momentum = better penetration through hide and bone
Grains per Pound
5.8 gr/lb
Light (fast but less penetration)
Flight Time
0.239 sec
At 20 m distance (straight-line estimate)
Gravity Drop
28.0 cm
11.0 inches at 20 m
Kinetic Energy Level
25 ft-lb (small game)40 (deer)65+ (elk/moose)

Arrow Weight Comparison

Arrow CategoryMass (gr)Speed (fps)KE (ft-lbs)Momentum
Light (5 gr/lb)30029658.51.756
Standard (6 gr/lb)36027158.51.924
Midweight (8 gr/lb)48023458.52.221
Heavy (10 gr/lb)60021058.52.483
Ultra Heavy (12 gr/lb)72019158.52.720

Minimum KE Requirements

GameMin KE (ft-lbs)Your Setup
Small game (rabbit, turkey)25✓ Sufficient
Medium game (whitetail deer)40✓ Sufficient
Large game (elk)55✓ Sufficient
Dangerous game (moose, bear)65✗ Insufficient
African dangerous game80✗ Insufficient
Planning notes, formulas, and examples

About the Arrow Speed Calculator

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.

When This Page Helps

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.

How to Use the Inputs

  1. Choose mode: estimate from bow specs or enter chronograph speed.
  2. For bow estimation, enter draw weight (lbs) and draw length (inches).
  3. Enter the total arrow mass in grains (shaft + point + fletchings + nock).
  4. Adjust bow efficiency if you know it (default 78% for compounds).
  5. Enter target distance for flight time and drop calculation.
  6. Read speed, kinetic energy, momentum, and game suitability from outputs.
  7. Use the arrow weight comparison table to optimize your setup.
Formula used
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.

Example Calculation

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.

Tips & Best Practices

  • Never shoot arrows lighter than 5 grains per pound of draw weight — it can damage the bow ("dry fire" effect).
  • For hunting, prioritize kinetic energy and momentum over raw speed.
  • A 10% increase in arrow mass typically reduces speed by about 5% but increases momentum.
  • Broadhead-tipped arrows are typically 100+ grains heavier than field-point arrows.
  • Bow efficiency varies: test with a chronograph for valid inputs.
  • Crossbow bolts use different ballistic models — adjust efficiency downward (~70%).

The Speed-Weight Tradeoff

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.

Kinetic Energy vs Momentum

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.

Understanding IBO Speed Ratings

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.

Sources & Methodology

Last updated:

Frequently Asked Questions

  • 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.