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Calculating Arrow Speed

Arrow Speed Formula:

\[ Speed\_arrow\_c = (Screen\_dist\_a / Screen\_time\_a) \times Scale\_a \]

inches
seconds
factor

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1. What is Arrow Speed Calculation?

Arrow speed calculation using high-speed camera involves measuring the distance an arrow travels across the screen, the time it takes, and applying a scaling factor to determine the actual speed in feet per second (fps).

2. How Does the Calculator Work?

The calculator uses the arrow speed formula:

\[ Speed\_arrow\_c = (Screen\_dist\_a / Screen\_time\_a) \times Scale\_a \]

Where:

Explanation: This formula calculates the speed of an arrow by measuring its movement on screen and converting it to real-world speed using a scaling factor.

3. Importance of Arrow Speed Measurement

Details: Accurate arrow speed measurement is crucial for archery performance analysis, equipment testing, and bow tuning. It helps archers optimize their setup for better accuracy and consistency.

4. Using the Calculator

Tips: Enter screen distance in inches, screen time in seconds, and scaling factor. All values must be valid positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical arrow speed for compound bows?
A: Most modern compound bows shoot arrows between 300-350 fps, though speeds can vary based on draw weight, arrow weight, and bow efficiency.

Q2: How accurate is the high-speed camera method?
A: With proper calibration and high frame rates, this method can be very accurate, typically within ±2-3% of chronograph measurements.

Q3: What frame rate is needed for accurate measurement?
A: For most arrows, a minimum of 1000 fps is recommended, with higher frame rates (2000+ fps) providing better accuracy for faster arrows.

Q4: How do I determine the scaling factor?
A: The scaling factor is determined by comparing a known real-world distance to its measurement on screen. For example, if a 12-inch ruler appears as 6 inches on screen, the scale factor would be 2.

Q5: Can this method be used for other projectiles?
A: Yes, this method can be adapted for measuring the speed of any projectile visible on high-speed camera footage, including bullets, paintballs, and baseballs.

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