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Bow Kinetic Energy Calculator

Enter arrow mass and measured speed. The calculation runs in your browser using E = mv²/2.

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E = mv²/2, with mass converted to kilograms and speed to meters per second. 1 ft·lbf = 1.3558179483314 J (NIST conversion factors).

This is an idealized kinetic-energy calculation at the entered speed. It does not predict penetration, hunting effectiveness, or injury, and it does not recommend bows, arrows, or other equipment. Real-world outcomes depend on many factors; follow applicable laws and qualified safety guidance.

A QUICK WALKTHROUGH

How to use this tool

  1. Enter arrow mass and choose grams or grains.
  2. Enter speed and choose m/s or fps.
  3. Calculate and review both energy units.

Formula and conversions

Kinetic energy is E = mv²/2. Mass is converted to kilograms (1 grain = 0.00006479891 kg) and speed to meters per second (1 ft = 0.3048 m). Joules are converted to ft·lbf using the NIST conversion factor.

Limits and safety

The result describes kinetic energy only. It cannot establish penetration, hunting suitability, safety, or equipment compatibility. Use manufacturer information, qualified instruction, and local regulations.

Local processing

Values are calculated in this browser and are not sent to a server.

GOOD TO KNOW

Common questions

Does kinetic energy tell me how far an arrow penetrates?

No. Penetration depends on arrow and target properties, impact conditions, and other factors; this calculator does not predict it.

Can I use this to choose hunting equipment?

No. It is a unit and physics calculation, not hunting, bow, or arrow advice. Follow local laws and qualified guidance.

What is the source for the conversions?

The grain-to-kilogram, foot-to-meter, and joule-to-foot-pound-force conversions follow NIST Special Publication 811 conversion factors.

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