# ARROW CALCULATORS

## ARROW WEIGHT CALCULATOR

The Arrow Weight Calculator is a valuable tool designed to determine the complete weight of an arrow. By utilizing this calculator, archers gain a comprehensive understanding of their arrows’ total mass, which is necessary for accurately estimating arrow speed, calculating kinetic energy, and assessing their suitability for bowhunting.

To use the Arrow Weight Calculator, input the weights of the various arrow components, including the shaft, points/broadhead, fletching, inserts, and nocks. These weight values can usually be found in the specifications provided by the manufacturer or determined using a digital scale.

The Arrow Weight Calculator is a valuable tool for archers to accurately determine the weight of their arrows and understand their characteristics to optimize their shooting experience.

## ARROW SPEED CALCULATOR

The Arrow Speed Calculator is a tool used to estimate the actual speed of an arrow after it is released from the bow. This calculation uses the manufacturer’s IBO speed as well as other characteristics of a bow and arrow setup to develop an estimate of the bow’s actual speed.

IBO speed is a standardized method used to measure and compare the speed of bows in the archery industry. The IBO speed rating provides a consistent and objective way to assess the speed potential of different bow models. However, the IBO speed likely does not represent the actual speed of a bow configured for hunting.

Knowing an arrow’s actual speed helps bowhunters understand the performance characteristics of their setup. It is also used in calculating the potential power, or kinetic energy, behind their setups.

It’s important to note that the Arrow Speed Calculator only provides estimations. Actual arrow speeds may vary depending on a variety of factors. Although, the Arrow Speed Calculator offers a good starting point for assessing arrow performance and comparing different setups.

An arrow’s kinetic energy can be calculated using the calculator below, or by using the following formula with the arrow’s mass *m* and the arrows velocity *v*:

KE = (mv²) ÷ 450,240

## FOC (Front-of-Center) CALCULATOR

The Front-of-Center (FOC) is the term used to describe the percentage of an arrow’s total weight located in the front half of the arrow. The FOC Calculator is a tool used to measure that percentage. An arrow’s FOC is a critical component of its stability, consistency, and accuracy, especially at longer ranges.

The FOC calculation is an essential part of helping an archer optimize the performance and accuracy potential of their arrows.

To determine the F.O.C. of an arrow, measure the overall length of the arrow from the throat of the nock to the end of the arrow shaft (not including the point). Find the balance point of the arrow with all components installed and measure the distance from the balance point to the throat of the nock.

## ARROW DISTANCE, VELOCITY, AND TIME CALCULATOR

The purpose of this calculator is to provide estimations for an arrow’s velocity and kinetic energy at different distances, aiding in the assessment of a specific archery setup’s capabilities. Additionally, it calculates the time it takes for an arrow to reach its target at varying distances. This information is useful in determining a bowhunting setup’s maximum effective range for hunting different animal species. Understanding the calculated time allows for better comprehension of the potential for an animal to react or move following the arrow’s release.

This calculator uses an acceleration rate derived from the average velocity of a 426-grain arrow fired multiple times through a chronograph at multiple distances.

The following formulas are used in determining the estimated Arrow Velocity, and Time to Target:

**v = √u² + 2ad**

**t = d / v**

- u = initial velocity
- v = final velocity (fps)
- a = acceleration (fps²)
- d = distance (feet)
- t = time (seconds)

Please note that this formula is an approximation and assumes ideal conditions, ignoring factors like air resistance, which can have a significant impact on an arrow’s velocity at long distances. Additionally, archery setups can vary, and the actual arrow velocity at different distances may not strictly follow this formula. To obtain more accurate results, advanced ballistics software or chronograph testing should be used.