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Calcimator

Muzzle Energy Calculator

Calculate muzzle energy in foot-pounds and joules from bullet weight and muzzle velocity. Also computes power factor and momentum.

About this calculator

Muzzle energy is kinetic energy (KE = 1/2 x mass x velocity^2) evaluated in the mixed units ballistics traditionally uses: bullet weight in grains and velocity in feet per second. This calculator uses the standard conversion Energy (ft-lbs) = (weight in grains x velocity in fps squared) / 450,240, a widely cited constant that folds the 1/2 and the grains-to-pounds unit conversion into a single divisor. Because velocity is squared in that formula while weight is not, a given PERCENTAGE change in velocity moves energy more than the same percentage change in weight -- doubling velocity quadruples energy, while doubling weight only doubles it.

Both inputs still move energy substantially in practice, though: bullet weight spans a much wider practical range (10-800+ grains across airgun pellets through heavy rifle bullets) than muzzle velocity does, so weight's real-world spread can end up mattering just as much as velocity's squared sensitivity. Momentum (weight x velocity, in grain-fps) scales linearly with both instead, which is why momentum and energy can rank cartridges differently: a heavier, slower bullet can carry more momentum than a lighter, faster one with similar energy. Power Factor is the USPSA competition metric (bullet weight in grains x velocity in fps, divided by 1,000) used to classify handgun loads into scoring categories -- it is proportional to momentum, not energy, which is why a Power Factor comparison and a muzzle-energy comparison of the same two loads can rank them in different order.

Inputs

gr
fps

Results

Muzzle Energy

2,560 ft-lbs

Muzzle Energy3,470 J
Momentum411,600 gr·fps
Power Factor411.6
How to Use This Calculator
  1. Enter Bullet Weight and Muzzle Velocity.
  2. Review the Muzzle Energy (ft-lbs) result.
  3. Use Muzzle Energy (J) and Momentum (gr·fps) to inform your decision.
  4. Use the chart to visualize the results and explore different scenarios by adjusting inputs.

How the result changes with Muzzle Velocity

Muzzle VelocityMuzzle Energy
1,400640 ft-lbs
2,1001,440 ft-lbs
4,2005,759 ft-lbs
5,0008,162 ft-lbs

What each input means

Bullet Weight
Bullet weight in grains.
Muzzle Velocity
Bullet velocity at the muzzle in feet per second.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    Bullet Weight = 147, Muzzle Velocity = 2800 = 2 input(s) provided
  2. Calculate Muzzle Energy
    Muzzle Energy
    2560 = 2560
  3. Calculate Muzzle Energy
    Muzzle Energy
    3470 = 3470
  4. Calculate Momentum
    Momentum
    411600 = 411600

Engine last updated . Checked against 3 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why does doubling velocity quadruple energy but doubling weight only double it?

The kinetic energy formula squares velocity but only multiplies weight linearly (KE = 1/2 x mass x velocity^2), so a given percentage increase in velocity produces a larger percentage increase in energy than the same percentage increase in weight would. In practice, though, bullet weight also spans a much wider real-world range than muzzle velocity does -- from light airgun pellets to heavy rifle bullets -- so both inputs end up mattering substantially to the final energy figure, just through different mechanisms.

What is the 450,240 figure in the muzzle energy formula?

450,240 is the standard conversion constant for computing kinetic energy in foot-pounds directly from bullet weight in grains and velocity in feet per second -- Energy = (weight x velocity^2) / 450,240. It bundles the kinetic-energy formula's 1/2 factor together with the unit conversion from grains to pounds and squared feet-per- second, so the result comes out directly in foot-pounds without a separate conversion step.

How is Power Factor different from muzzle energy?

Power Factor (bullet weight in grains x velocity in fps, divided by 1,000) is a USPSA competition scoring metric proportional to momentum, not kinetic energy -- it scales linearly with both weight and velocity rather than squaring velocity. Because of that difference, a heavier bullet at modest velocity and a lighter bullet at high velocity can have similar Power Factor scores while having noticeably different muzzle energy.

Can two loads with the same muzzle energy have different momentum?

Yes. Since energy scales with velocity squared but momentum (weight x velocity) scales linearly with each, a lighter bullet driven faster and a heavier bullet driven slower can land at the same energy figure while carrying meaningfully different momentum. This is part of the classic "light and fast" versus "heavy and slow" tradeoff in cartridge and bullet selection.

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