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
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Weight of the projectile
Speed of the projectile at muzzle
Results
Adequate energy for intended applications with proper shot placement.
- • General hunting
- • Target shooting
- • Medium game
Comparison: Standard energy levels for most applications
Where weight is in grains, velocity is in feet per second (fps), and result is in foot-pounds
FPE Calculator Types & Applications
Typical rifle energy
1,000-3,500 ft-lbs
Calculate muzzle energy for hunting cartridges and match ammunition
Deer hunting minimum
40-65 ft-lbs
Essential for determining arrow weight and bow setup for hunting
Handgun range
200-800 ft-lbs
Compare muzzle energies between different loads and calibers
Energy + Momentum
Complete Analysis
Calculates FPE, momentum, and power factor for comprehensive analysis
Big game minimum
1,500+ ft-lbs
Ensure adequate energy for humane, ethical game harvesting
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.
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
Need more shooting sports tools? Check out our scope ring height calculator and ski length calculator.
Get Custom Calculator for Your BusinessFPE Calculator Examples
Ammunition Specs:
- Cartridge: .308 Winchester
- Bullet Weight: 150 grains
- Muzzle Velocity: 2,800 fps
- Projectile Type: Rifle
Calculation Steps:
- Weight: 150 grains
- Velocity: 2,800 fps
- Calculate: (150 × 2,800²) = 1,176,000,000
- 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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