Enter the arrow speed, mass, and stopping distance into the calculator to determine the arrow force.

Arrow Force Formula

The following equation is used to calculate the Arrow Force.

AF = 1/2*m*V^2 / d
  • Where AF is the arrow force (N)
  • m is the mass of the arrow (kg)
  • V is the velocity of the arrow (m/s)
  • d is the stopping distance (m)

To calculate the arrow force, square the velocity, multiply by one half the mass, then divide by the stopping distance.

What is an Arrow Force?


An arrow force is the total force an arrow exerts on a target when it strikes. The total arrow force depends on the arrow’s mass, velocity, and stopping distance.

How to Calculate Arrow Force?

Example Problem:

The following example outlines the steps and information needed to calculate Arrow Force.

First, determine the mass of the arrow. In this example, the mass is found to be 2kg.

Next, determine the velocity of the arrow. For this problem, the velocity of the arrow is found to be 26 m/s.

Next, determine the stopping distance. In this case, the stopping distance is measured to be .3m.

Finally, calculate the arrow force using the formula above:

AF = 1/2*m*V^2 / d

AF = 1/2*2*26^2 / .3

AF = 2253.33 N