Arrow Force Calculator

Arrow Force Calculator:

Enter the values of mass, m_(kg), velocity, V_(m/s), and distance, d_(m), to determine the value of arrow Force, AF_(N).

Enter Mass :		kg
Enter Velocity :		m/s
Enter Distance :		m
Result – Arrow Force :		N

Arrow Force Formula:

The Arrow Force calculator measures the exerted force by an arrow as it strikes a target, derived from the kinetic energy imparted by its mass and velocity upon impact, and spread over a certain distance.

Arrow Force, AF_(N) in Newtons, is calculated by dividing half of the product of the mass of the arrow, m_(kg) in kilograms and the square of its velocity, V_(m/s) in metres per seconds by the distance, d_(m) in metres over which the force is exerted.

Arrow Force, AF_(N) = 1 / 2 * m_(kg) * V²_(m/s) / d_(m)

AF_(N) =arrow force in Newtons, N.

m_(kg) = mass in kilograms, kg.

V_(m/s) = velocity in metres per seconds, m/s.

d_(m) = distance in metres, m.

Arrow Force Calculation:

1.Calculate the force exerted by an arrow of mass 0.05 kg traveling at a velocity of 60 m/s when it penetrates a target to a depth of 0.1 metres.

Given: m_(kg) = 0.05kg, V_(m/s) = 60m/s, d_(m) = 0.1m.

Arrow Force, AF_(N) = 1 / 2 * m_(kg) * V²_(m/s) / d_(m)

AF_(N) = 1 / 2 * 0.05 * 60² / 0.1

AF_(N) = 0.5 * 0.05 * 3600 / 0.1

AF_(N) = 900N.

2.Suppose you want to find out how deep an arrow penetrates into a target when the arrow has a mass of 0.04 kg and is traveling at a velocity of 50 m/s, exerting a force of 500 N upon impact.

Given: m_(kg) = 0.04kg, V_(m/s) = 50m/s, AF_(N) = 500N.

Arrow Force, AF_(N) = 1 / 2 * m_(kg) * V²_(m/s) / d_(m)

d_(m) = 1 / 2 * m_(kg) * V²_(m/s) / AF_(N)

d_(m) = 1 / 2 * 0.04 * 50² / 500

d_(m) = 0.5 * 0.04 * 2500 / 500

d_(m) = 0.2m.