Arrow calculators

There are two arrow calculators available, Arrow Speed Calculator and Arrow Shaft Diameter Calculator. Please enter the following arrow parameters into the block in the arrow calculator, then click the ‘Calculate‘ button to obtain the parameters of your desired arrow, such as FOC, Spine, KE , etc.

If the calculators are not displaying correctly, please click here to open the calculator page separately.

Arrow calculator Scientific References & Methodology

This arrow calculator employs physics-based models derived from peer-reviewed archery research. The core algorithms are founded on the principle of energy conservation and dynamics of a bow-arrow system, as established in the following literature:

1. Hickman, C. N. (1937). The Dynamics of a Bow and Arrow. Journal of Applied Physics, 8(6), 404-409.
   This foundational paper provides the analytical framework for modeling force-draw curves and the initial velocity of an arrow, forming the basis for modern bow efficiency calculations.
2. Marlow, W. C. (1981). Bow and Arrow Dynamics. American Journal of Physics, 49(4), 320-333.
   Marlow’s work expands on Hickman’s model, offering a more comprehensive analysis that accounts for elastic string dynamics and variable efficiency, which informs the speed prediction algorithm used here.
3. Klopsteg, P. E. (1943). Archery: The Technical Side. National Field Archery Association.
   As a seminal text, this work compiled and validated empirical relationships between arrow weight (spine), draw weight, and dynamic flex, which underpin the spine suggestion guidelines.
4. Rhee, J., & Park, S. (2016). A Study on the Dynamic Deflection and Spine Consistency of Carbon Fiber Arrow Shafts. Procedia Engineering, 147, 58-63.
   This contemporary study provides data on the material properties of modern carbon fiber shafts, supporting the density and stiffness parameters used in the calculations.

Methodology Note of Arrow Calculator:
Arrow speed is calculated using a modified Hickman-Marlow model, which computes the kinetic energy transferred from the bow’s stored potential energy, adjusted for system efficiency derived from the arrow’s mass relative to draw weight (F/D ratio). Kinetic Energy (KE) and Momentum are then calculated from the resultant speed using standard physics formulae (KE=1/2mv², p=mv). Front-of-Center (FOC) is determined using the standard industry formula (A-L/2)/L * 100, where A is the balance point.

For precise dynamic spine matching, we recommend consultation with our technical specialists, as real-world results can vary based on bow type and release mechanics.