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Crossbow Kinetic Energy Calculator (FPS & Grain)

Enter your crossbow's speed and arrow weight to get kinetic energy, momentum and a game suitability guide.

Last updated September 2026
Hunter in a tree stand at misty dawn

Calculator

Kinetic energy

142.1 ft-lbs

Momentum

0.710 slug-ft/s

Suitable for

Very large game

elk, moose, cape buffalo class animals

Muzzle values only. Arrows lose speed and energy downrange. This is a general guide, not a guarantee of performance. Always follow your state's hunting regulations.

Crossbow presets

Tap a crossbow to load its rated speed. Rated speeds come from our verified product data.

Game suitability guide

This widely cited kinetic energy guideline is a starting point. Shot placement, broadhead quality and distance matter more than raw numbers.

Game classMin. kinetic energyExamples
Small game0+ ft-lbsrabbit, squirrel, groundhog
Medium game25+ ft-lbscoyote, pronghorn, turkey
Large game42+ ft-lbswhitetail deer, black bear, wild hog
Very large game65+ ft-lbselk, moose, cape buffalo class animals

Every crossbow we review clears the large game guideline many times over at the muzzle. See best crossbow for deer hunting and how far a 400 FPS crossbow can shoot.

The formulas

  • Kinetic energy (ft-lbs) = grains × FPS² ÷ 450,240
  • Momentum (slug-ft/s) = grains × FPS ÷ 225,218

Kinetic energy grows with the square of speed, so faster bows gain energy quickly. Momentum grows linearly with both weight and speed, and is often used to compare penetration potential, which is why some hunters prefer heavier arrows. Compare bows side by side in the crossbow comparison tool.

FAQ

How do you calculate crossbow kinetic energy?
Kinetic energy in ft-lbs = arrow weight in grains × FPS² ÷ 450,240. A 400 grain arrow at 400 FPS carries about 142 ft-lbs.
How do you calculate arrow momentum?
Momentum in slug-ft/s = arrow weight in grains × FPS ÷ 225,218.
How much kinetic energy do you need for deer?
A widely cited guideline is at least 42 ft-lbs for large game such as whitetail. Every crossbow we review far exceeds that at the muzzle.
Does a heavier arrow change speed?
Yes. Heavier arrows fly slower from the same bow. Rated FPS is measured with a specific arrow weight, so enter the real speed of your arrow if you have chronograph data.