thecalcs
Ballistics Tool

FPE Calculator - Foot Pound Energy Calculator & Ballistics Energy Calculator

Free FPE calculator & foot pound energy calculator for hunting and shooting sports. Calculate bullet energy, arrow kinetic energy, momentum, and power factor from weight and velocity. Our calculator uses the standard ballistics formula for rifles, handguns, shotguns, arrows, and airguns.

Last updated: December 15, 2024

Instant energy calculations
Multiple projectile types supported
Hunting suitability recommendations

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FPE Calculator
Calculate Foot-Pound Energy for ballistics and hunting

Weight of the projectile

Speed of the projectile at muzzle

Results

Foot-Pound Energy (FPE)
2611.94 ft-lbs
Momentum
60.00 lb·s
Energy (Joules)
3539.76 J
Power Factor
60000
Medium Energy

Adequate energy for intended applications with proper shot placement.

Suitable Applications
  • General hunting
  • Target shooting
  • Medium game

Comparison: Standard energy levels for most applications

FPE Formula
FPE = (Weight × Velocity²) ÷ 450,240

Where weight is in grains, velocity is in feet per second (fps), and result is in foot-pounds

FPE Calculator Types & Applications

Bullet Energy Calculator
Calculate kinetic energy for rifle and handgun ammunition

Typical rifle energy

1,000-3,500 ft-lbs

Calculate muzzle energy for hunting cartridges and match ammunition

Arrow Kinetic Energy Calculator
Calculate KE for archery hunting and bowhunting applications

Deer hunting minimum

40-65 ft-lbs

Essential for determining arrow weight and bow setup for hunting

Muzzle Energy Calculator
Calculate energy at the muzzle for load development

Handgun range

200-800 ft-lbs

Compare muzzle energies between different loads and calibers

Ballistics Calculator
Complete ballistic energy analysis for shooting sports

Energy + Momentum

Complete Analysis

Calculates FPE, momentum, and power factor for comprehensive analysis

Hunting Energy Calculator
Determine adequate energy levels for ethical hunting

Big game minimum

1,500+ ft-lbs

Ensure adequate energy for humane, ethical game harvesting

Projectile Energy Calculator
Universal energy calculator for any projectile type

All types supported

Bullets, Arrows, Pellets

Works with rifles, handguns, shotguns, bows, and airguns

Example FPE Calculation

For 150-grain bullet at 2,800 fps (typical .308 Winchester):

Foot-Pound Energy

2,611 ft-lbs

Energy (Joules)

3,541 J

How Our FPE Calculator Works

Our FPE calculator uses the standard ballistics formula to determine kinetic energy from projectile weight and velocity. The calculation converts inputs to standard units (grains and feet per second) and applies the fundamental physics formula for kinetic energy, then converts to foot-pounds for easy interpretation.

The FPE Formula

FPE = (Weight × Velocity²) ÷ 450,240

Where weight is in grains, velocity is in feet per second (fps), and the constant 450,240 converts to foot-pounds. This formula is derived from the kinetic energy equation (KE = ½mv²) with unit conversions built in for practical ballistics applications.

🎯 FPE Comparison Chart

Shows energy levels for common cartridges and applications

Understanding Kinetic Energy in Ballistics

Kinetic energy represents the work capacity of a moving projectile. Because velocity is squared in the formula, doubling velocity quadruples energy (while doubling weight only doubles energy). This explains why high-velocity cartridges produce disproportionately more energy than low-velocity rounds of similar weight.

  • Energy decreases with distance as projectiles slow due to air resistance
  • Higher energy generally means flatter trajectory and more retained downrange energy
  • Energy transfer depends on bullet construction, expansion, and target composition
  • Minimum energy recommendations ensure ethical, humane game harvesting
  • For hunting, energy at impact range matters more than muzzle energy
  • Momentum (mass × velocity) is equally important for penetration

Sources & References

  • Sierra Bullets Reloading Manual - 5th Edition (2003)Industry standard reference for ballistic calculations and data
  • Lyman Reloading Handbook - 50th EditionComprehensive ballistics data and energy calculations
  • SAAMI - Sporting Arms and Ammunition Manufacturers InstituteOfficial standards for ammunition specifications and testing
  • Archery Trade Association - Kinetic Energy Standards for BowhuntingGuidelines for adequate arrow energy for ethical hunting

FPE Calculator Examples

Deer Hunting Rifle Energy Example
Calculate adequate FPE for ethical deer hunting with .308 Winchester

Ammunition Specs:

  • Cartridge: .308 Winchester
  • Bullet Weight: 150 grains
  • Muzzle Velocity: 2,800 fps
  • Projectile Type: Rifle

Calculation Steps:

  1. Weight: 150 grains
  2. Velocity: 2,800 fps
  3. Calculate: (150 × 2,800²) = 1,176,000,000
  4. Divide: 1,176,000,000 ÷ 450,240 = 2,611 ft-lbs

Result: FPE = 2,611 ft-lbs

Excellent energy for deer hunting at typical ranges (well above 1,000 ft-lbs minimum). Suitable for medium to large deer out to 300+ yards.

Arrow Kinetic Energy Example

400-grain arrow at 280 fps

FPE = 69.7 ft-lbs (Perfect for elk)

9mm Self-Defense Example

124-grain bullet at 1,150 fps

FPE = 364 ft-lbs (Adequate defense)

Frequently Asked Questions

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