Bowhunting Effective Range Calculator
Arrows shed speed, and energy with it, as they fly. Enter your arrow weight and speed to see your kinetic energy and momentum every 10 yards, and the farthest distance your setup still meets the energy guideline for your game.
🎯 Bowhunting Effective Range Calculator
Enter your values below. Results update as you type.
| Distance | Speed | Kinetic Energy | Momentum | Meets Threshold |
|---|
Speed at distance: v = v₀ × e^(−k × yards)
Kinetic energy = grains × v² ÷ 450,800 · Momentum = grains × v ÷ 225,218
The range is the farthest whole yard where KE still meets the threshold, checked out to 100 yards.
📊 Kinetic Energy Guidelines by Game
Commonly cited minimum energy at impact. They are rules of thumb, not legal standards, and shot placement matters more than any number.
| Game | Typical Minimum KE | Notes |
|---|---|---|
| Small game, turkey | 25 ft-lb | Most hunting setups exceed this easily |
| Deer, antelope | 40 ft-lb | A well-tuned 50 lb bow can deliver this |
| Elk, black bear, wild hog | 65 ft-lb | Heavier arrows and good momentum help |
Always follow your state or province's hunting regulations, which may set their own equipment minimums.
🎯 Energy Range vs Ethical Range
Most bows keep enough energy for deer well past 60 yards, so energy is rarely what limits a shot. What limits it is how tightly you can group, wind drift, misjudged distance, and the time an animal has to react before the arrow arrives.
- Accuracy test: your ethical range is the distance where you can keep every arrow inside a paper-plate-size circle, cold, from hunting positions.
- Reaction time: check the arrow time of flight calculator to see how much warning the sound gives an animal at each distance.
- Momentum: for tough game, compare momentum with the momentum calculator. Heavy arrows keep penetrating where light fast arrows slow down.
❓ Frequently Asked Questions
How much kinetic energy do I need for deer?
About 40 ft-lb at impact is the commonly cited guideline for deer and antelope. Most hunting compounds with a 400+ grain arrow deliver far more.
How much kinetic energy do I need for elk?
About 65 ft-lb is the common guideline for elk, black bear, and hogs. Heavier arrows help because they also carry more momentum.
How much energy does an arrow lose at 40 yards?
Energy drops with the square of speed. An arrow that keeps 94% of its speed at 40 yards keeps about 88% of its kinetic energy.
Is my effective range the same as my energy range?
No. Energy range is usually much longer than the range you can shoot accurately under hunting conditions. Use the shorter of the two.
🧮 Related Calculators
Calculator results are planning estimates. Always confirm your setup with chronograph readings and real shooting.