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Arrow Speed Calculator

Enter the required parameters, and the calculator will determine the arrow speed, its kinetic energy, and momentum instantly.

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The arrow speed calculator is designed to estimate the speed of an arrow shot from a bow. This tool follows the guidelines set by the International Bowhunting Organization (IBO) to provide accurate speed predictions based on your bow and arrow specifications.

IBO Bow Speed Standards

The IBO has defined standard conditions for measuring arrow speed for consistency across different bows. These include:

  • Draw weight of 70 lb
  • Arrow length of 30 inches
  • Arrow weight of 350 grains or more

Arrow weight is a crucial factor: heavier arrows tend to travel faster under the same conditions, while lighter arrows move slower. To quickly check the speed of an arrow based on its weight, you can use our free arrow weight calculator.

Arrow Speed Formula

The speed of an arrow can be approximated using:

v = IBO + (L − 30) × 10 − W/3 + min(0, −(A − 5D/3))

Where:

  • v = Arrow speed (ft/s)
  • IBO = Base arrow speed under standard IBO conditions
  • L = Draw length in inches
  • W = Additional weight on the bowstring
  • A = Arrow weight in grains
  • D = Bow draw weight in pounds

All these parameters influence arrow speed and can be instantly calculated using our online archery kinetic energy calculator.

Using the Arrow Speed Calculator

Follow these steps to determine arrow speed:

Inputs:

  • Enter the bow’s IBO rating and draw length
  • Provide the peak draw weight and arrow weight
  • Optionally, enter any extra weight added to the bowstring
  • Click Calculate to see results

Outputs:

  • Arrow speed (ft/s)
  • Arrow momentum
  • Arrow kinetic energy

Additionally, you can explore the motion of other objects using our kinetic energy calculator and potential energy calculator.

References

Wikipedia: Bow and arrow – overview of design, usage, history, and types of bows. Khan Academy: Arrow speed analysis.

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