Home Back

Arrow Kinetic Energy Calculator

Arrow Kinetic Energy Formula:

\[ KE_{arrow} = \frac{Weight_{arrow} \times Speed_{arrow}^2}{450240} \]

grains
fps

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Arrow Kinetic Energy?

Arrow kinetic energy is a measure of the energy an arrow carries when in motion. It's a crucial factor in archery and bowhunting, as it determines the arrow's penetration capability and effectiveness on target.

2. How Does the Calculator Work?

The calculator uses the arrow kinetic energy formula:

\[ KE_{arrow} = \frac{Weight_{arrow} \times Speed_{arrow}^2}{450240} \]

Where:

Explanation: The formula calculates kinetic energy by multiplying arrow weight by the square of its velocity, then dividing by a constant that converts grains and fps to foot-pounds.

3. Importance of Arrow Kinetic Energy

Details: Kinetic energy is critical for determining an arrow's effectiveness. Higher kinetic energy results in better penetration, which is especially important for hunting applications where ethical and humane harvests are paramount.

4. Using the Calculator

Tips: Enter arrow weight in grains and arrow speed in feet per second. Both values must be positive numbers. For accurate results, use precise measurements from a chronograph for speed and a grain scale for weight.

5. Frequently Asked Questions (FAQ)

Q1: What is a good kinetic energy value for hunting?
A: For most big game hunting, a minimum of 40-50 foot-pounds is recommended, though larger game may require more energy for ethical harvest.

Q2: How does arrow weight affect kinetic energy?
A: Heavier arrows generally produce more kinetic energy at the same speed, though they may travel slower. The relationship is linear - double the weight doubles the energy.

Q3: How does arrow speed affect kinetic energy?
A: Speed has a squared relationship with kinetic energy. Doubling the speed quadruples the kinetic energy, making speed a more significant factor than weight.

Q4: What's the difference between kinetic energy and momentum?
A: Kinetic energy measures the arrow's ability to do work (penetration), while momentum measures its tendency to keep moving (inertia). Both are important for arrow performance.

Q5: Can I use this calculator for crossbow bolts?
A: Yes, the same formula applies to crossbow bolts. Simply enter the bolt weight and speed to calculate kinetic energy.

Arrow Kinetic Energy Calculator© - All Rights Reserved 2025