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Projectile

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About

For air rifle hunters and target shooters, understanding ballistics is critical for both accuracy and legal compliance. Unlike airsoft, air rifles often fire lead pellets measured in grains at velocities that can exceed the speed of sound. This calculator computes the Muzzle Energy in both Joules and Foot-Pounds (ft/lbs), which are the standard units for defining legal ownership limits in countries like the UK, Germany, and Canada.

Accurate energy calculation requires precise input of projectile mass. A standard .22 pellet might weigh 14.3 grains, while a heavy slug could weigh 25 grains. Small deviations in weight significantly alter the calculated energy, which is strictly regulated. This tool handles unit conversions automatically, allowing shooters to input data directly from their ammo tins.

air rifle ballistics muzzle energy ft-lbs grains to grams

Formulas

The calculator uses the kinetic energy formula, adapted for imperial units often used in ballistics (grains and feet per second):

Eft-lb = Weightgr × vfps2450240

The constant 450240 is derived from 2 × 32.174 (gravity) × 7000 (grains per pound). For metric inputs, the standard SI formula is used:

EJ = 0.5 × mkg × vm/s2

Reference Data

RegionLicense LimitEquiv. EnergyTypical Metric
United Kingdom12 ft/lbs~16.27 JFAC required above
Germany7.5 J~5.53 ft/lbsF-stamp req.
Canada500 FPS & 5.7 JBoth conditionsPAL required above
USANone (Federal)N/AVaries by State

Frequently Asked Questions

Grains (gr) are a traditional unit of mass used in ballistics. There are 7000 grains in a pound. Grams (g) are the metric standard. 1 Grain is approximately 0.0648 Grams. Most airgun pellet tins list weight in grains.
This calculator determines energy at the muzzle (immediately upon exit). In Pre-Charged Pneumatic (PCP) rifles, a longer barrel generally increases velocity and energy by allowing the air pressure to accelerate the pellet for a longer distance. In springers, this effect is less pronounced.
Yes. 12 ft/lbs is the legal limit for non-FAC (Firearms Certificate) air rifles in the UK and is considered sufficient for humanely dispatching small game (rabbits, squirrels, pigeons) at moderate ranges (up to 30-40 yards) with precise shot placement.