Arrow Speed Formula:
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Arrow speed calculation determines the velocity of an arrow based on its kinetic energy and weight. This calculation is essential for archers to understand arrow performance, trajectory, and impact force.
The calculator uses the physics formula:
Where:
Explanation: The formula derives from the kinetic energy equation rearranged to solve for velocity, accounting for the relationship between energy, mass, and speed.
Details: Knowing arrow speed helps archers optimize equipment setup, improve accuracy, understand trajectory drop, and ensure adequate kinetic energy for ethical hunting.
Tips: Enter kinetic energy in ft-lbs and arrow weight in grains. Both values must be positive numbers. The calculator will compute the arrow speed in feet per second (fps).
Q1: What is a typical arrow speed range?
A: Most compound bows shoot arrows between 250-350 fps, while traditional bows typically range from 150-250 fps.
Q2: Why is arrow weight important?
A: Heavier arrows carry more kinetic energy and penetrate better, while lighter arrows travel faster with flatter trajectories.
Q3: How do I measure kinetic energy?
A: Kinetic energy can be calculated using: \( KE = \frac{Arrow\ Weight \times Speed^2}{450,240} \) or measured with specialized chronograph equipment.
Q4: What affects arrow speed besides weight?
A: Bow draw weight, draw length, arrow spine, string material, and cam efficiency all influence arrow speed.
Q5: Is higher speed always better?
A: Not necessarily. While higher speed means flatter trajectory, it may sacrifice kinetic energy and forgiveness. Balance is key for optimal performance.