Skip to content
Omnikalc

How fast will your arrow fly, and with how much energy?

Estimate your real arrow speed from the bow's IBO rating, your draw length, draw weight and arrow weight, then its kinetic energy and momentum for hunting.

Updated on
Your inputs
fps

Value out of range

in

Value out of range

lb

Value out of range

grains

Value out of range

grains

Value out of range

Results

Estimated arrow speed

302

An estimate for compound bows; a chronograph gives the true speed
Kinetic energy
80.8
Over 65 ft·lb: the toughest game
Momentum
2.38 kg·m/s
Grains per pound of draw weight
6.15

From IBO rating to real speed

Compound bows are sold with an IBO (International Bowhunting Organization) or ATA speed rating, measured under standard conditions: a 70-pound draw weight, a 30-inch draw length and a 350-grain arrow, 5 grains per pound of draw weight. Few hunters shoot that setup. Shorter draws, heavier arrows and accessories on the string all slow the arrow, which changes its trajectory and the energy it delivers.

The rule-of-thumb corrections

Starting from the IBO speed:

  • Draw length: subtract about 10 fps for each inch below 30 inches.
  • Arrow weight: subtract about 1 fps for every 3 grains above 5 grains per pound of your peak draw weight.
  • String accessories: subtract about 1 fps for every 3 grains of peep sight, D-loop, silencers or nock points.

These corrections are averages; modern cam designs vary, and a chronograph gives the true number.

Kinetic energy and momentum

Kinetic energy, in foot-pounds, is arrow weight in grains × speed² ÷ 450,240. Momentum, which predicts penetration better for heavy arrows, is grains × speed ÷ 225,400 in slug·ft/s. Common hunting guidance:

Kinetic energy Suitable for
under 25 ft·lb small game
25 to 41 ft·lb medium game such as deer and pronghorn
42 to 65 ft·lb large game such as elk and black bear
over 65 ft·lb the largest and toughest game

Worked example

A bow rated at 340 fps IBO is drawn to 29 inches at 65 pounds, with a 400-grain arrow and 10 grains of string accessories. The draw length costs 10 fps, the arrow is 75 grains above 325 grains (5 × 65), costing 25 fps, and the string weight costs about 3 fps. The estimated speed is about 302 fps. The kinetic energy is 400 × 302² ÷ 450,240 = about 81 ft·lb, plenty for elk.

Arrow weight and safety

Never shoot an arrow lighter than 5 grains per pound of draw weight from a compound bow. The bow stores more energy than such an arrow can absorb, and the excess, like a dry fire, can break limbs, cables or cams and void the warranty. Many bowhunters choose 6 to 8 grains per pound for quieter shooting and better penetration.

Speed is not everything

A faster arrow drops less over distance, which forgives range-estimation errors. A heavier arrow is slower but quieter, more stable in the wind and penetrates deeper. Accuracy, shot placement and a sharp broadhead matter more than a few feet per second.

Frequently asked questions

What is IBO speed?

A standardized arrow speed rating for compound bows, measured with a 70-pound draw weight, a 30-inch draw length and a 350-grain arrow (5 grains per pound). ATA speed uses similar standards. Your real speed is usually lower.

How much speed do I lose per inch of draw length?

About 10 feet per second for each inch shorter than 30 inches. A bow rated at 340 fps IBO shot at a 28-inch draw starts at about 320 fps before weight adjustments.

How much kinetic energy do I need for hunting?

Common guidance is under 25 ft·lb for small game, 25 to 41 ft·lb for deer-sized game, 42 to 65 ft·lb for elk or black bear and more for the largest game. Shot placement and a sharp broadhead matter just as much.

Why not use the lightest arrow possible?

Arrows under 5 grains per pound of draw weight can damage the bow, much like a dry fire, and void the warranty. Heavier arrows are slower but carry more momentum and penetrate better.

Was this calculator helpful?

Thanks for your feedback!

Results are estimates provided for information purposes. They do not replace professional advice.