How to Calculate Arrow Speed

Arrow Speed Formula:

\[ v = \sqrt{\frac{2 \times E}{m}} \]

Arrow Speed (m/s):

1. What is Arrow Speed Calculation?

Definition: This calculator estimates the velocity of an arrow based on the energy input from the bow and the mass of the arrow.

Purpose: It helps archers and bowhunters understand and optimize their equipment setup for better performance.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ v = \sqrt{\frac{2 \times E}{m}} \]

Where:

\( v \) — Arrow speed (meters per second)
\( E \) — Energy input from bow (Joules)
\( m \) — Arrow mass (kilograms)

Explanation: The formula calculates the velocity by taking the square root of twice the energy divided by the arrow mass.

3. Importance of Arrow Speed Calculation

Details: Understanding arrow speed helps in trajectory prediction, kinetic energy estimation, and equipment tuning for optimal performance.

4. Using the Calculator

Tips: Enter the energy from your bow in Joules and the arrow mass in kilograms. Both values must be greater than 0.

5. Frequently Asked Questions (FAQ)

Q1: How do I measure bow energy?
A: Bow energy can be measured using specialized equipment or calculated from draw weight and draw length.

Q2: What's a typical arrow mass?
A: Arrow mass typically ranges from 0.02 kg to 0.04 kg (20-40 grams) for most hunting arrows.

Q3: What affects arrow speed the most?
A: The two main factors are bow energy (more energy = higher speed) and arrow mass (lighter arrows = higher speed).

Q4: How accurate is this calculation?
A: This provides a theoretical maximum speed. Real-world speeds may be slightly lower due to energy losses.

Q5: How can I increase my arrow speed?
A: Either increase bow energy (higher draw weight/longer draw) or decrease arrow mass (lighter arrows).