Arrow Speed Formula:
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Definition: This calculator determines the speed of an arrow based on its kinetic energy and mass using the physics formula for kinetic energy.
Purpose: It helps archers and bowhunters understand the velocity of their arrows for better accuracy and performance tuning.
The calculator uses the formula:
Where:
Explanation: The formula derives from the kinetic energy equation, solving for velocity when energy and mass are known.
Details: Knowing arrow speed helps with trajectory prediction, kinetic energy at impact, and bow tuning for optimal performance.
Tips: Enter the kinetic energy in joules and arrow mass in kilograms. All values must be > 0.
Q1: How do I measure arrow kinetic energy?
A: Use a chronograph to measure speed, then calculate energy with \( E = \frac{1}{2}mv^2 \).
Q2: What's a typical arrow mass?
A: Most arrows range from 0.02 to 0.04 kg (20-40 grams), depending on materials and purpose.
Q3: Why use meters/second instead of fps?
A: The formula uses SI units; you can convert m/s to fps by multiplying by 3.281.
Q4: Does this account for air resistance?
A: No, this calculates initial speed at launch. Actual speed downrange will be less due to drag.
Q5: What's a good speed for hunting?
A: Most hunters aim for at least 60 m/s (200 fps) with sufficient kinetic energy for ethical kills.