1. What is the Compound Bow FPS Formula?

The FPS (Feet Per Second) formula calculates the speed of an arrow shot from a compound bow based on its kinetic energy and mass. This measurement is crucial for archers to understand their equipment's performance.

2. How Does the Calculator Work?

The calculator uses the FPS equation:

Where:

• \( FPS \) — Feet per second (arrow speed)
• \( KE \) — Kinetic energy in foot-pounds
• \( m \) — Mass in slugs

Explanation: The equation shows the relationship between an arrow's speed, its kinetic energy, and its mass. Higher kinetic energy or lower mass results in higher FPS.

3. Importance of FPS Calculation

Details: Knowing your bow's FPS helps with accuracy, range estimation, and equipment tuning. It's also important for hunting regulations which often require minimum FPS levels.

4. Using the Calculator

Tips: Enter kinetic energy in ft-lb and mass in slugs. All values must be valid (greater than 0). For best results, measure your bow's kinetic energy with a chronograph.

5. Frequently Asked Questions (FAQ)

Q1: What is a good FPS for a compound bow?
A: Most modern compound bows shoot between 300-350 FPS. Hunting bows typically range 300-340 FPS while target bows may be slightly slower.

Q2: How does arrow weight affect FPS?
A: Heavier arrows (higher mass) will result in lower FPS but may have more kinetic energy and penetration power.

Q3: What factors besides KE and mass affect arrow speed?
A: Draw weight, draw length, bow efficiency, string material, and arrow spine all influence actual FPS.

Q4: How accurate is this calculation?
A: This provides theoretical maximum FPS. Real-world speeds will be slightly lower due to energy losses in the bow system.

Q5: Why use slugs for mass measurement?
A: Slugs are the imperial unit of mass that properly balances the equation when using foot-pounds for energy.