A1Calculator arrow speed calculator offers a unique way to determine arrow velocity. It relies on the IBO bow speed guidelines but allows for personalized bow settings. This way, you can get an approximate understanding of how the arrow’s speed changes when you make adjustments from the recommended settings. These results can then be used with a separate projectile motion calculator to study the arrow’s trajectory effectively.

Understanding bow speed IBO specification

The International Bowhunting Organization (IBO) sets the standard for arrow speed in many professional bows. To achieve this standard, certain conditions must be met:

  1. Maintain a draw length of 30 inches.
  2. Ensure the draw weight is at 70 pounds.
  3. Use arrows weighing 350 grains.

If these conditions are not met, the arrow’s speed will vary from the IBO standard. However, it’s common for archers to work with different parameters. This is where the bow speed calculator proves invaluable. It allows you to investigate how your arrow will perform with various bow settings, ensuring your setup aligns with your specific needs.

Archery calculator principles

To adjust arrow speed according to IBO guidelines, follow these simple rules:

  • For each inch of draw length below 30″, subtract 10 ft/s from the IBO value.
  • For each inch of draw length above 30″, add 10 ft/s to the IBO value.
  • For every 3 grains of arrow weight over 5 times the draw weight, subtract 1 ft/s from the IBO value.
  • For every 3 grains of extra weight on the bowstring, subtract 1 ft/s from the IBO value.

These rules can be summed up in one formula:

Actual arrow speed (v) = IBO + (L – 30) * 10 – W/3 + min(0, -(A – 5 * D/3))

Here’s what each variable represents:

  • v is the real arrow speed in ft/s.
  • IBO is the arrow speed according to IBO specs in ft/s.
  • L is the draw length in inches.
  • W is the added weight on the bowstring in grains.
  • A is the arrow weight in grains.
  • D stands for draw weight in pounds.

The arrow speed calculator can also determine the arrow’s momentum and kinetic energy, calculated as follows:

  • Momentum = A * v
  • Kinetic Energy = 0.5 * A * v^2

Arrow Speed Calculator automatically manages unit conversions. But if you prefer manual calculations, be cautious with your units.

For more on kinetic energy and momentum, check out our kinetic energy calculator and impulse and momentum calculator.

How fast does an arrow travel?

Let’s break it down with a practical example: Imagine you’re dealing with an IBO 300 bow, and you want to see how arrow speed changes when you increase both the draw length and arrow weight.

Step 1: Choose the draw length; let’s say you go with 32 inches.

Step 2: Set the draw weight and arrow weight. Stick to a standard peak draw weight of 70 lbs but opt for arrows weighing 400 grains.

Step 3: If there’s any extra weight on the bowstring, make a note of it, like 5 grains.

Now, use these values in the arrow speed formula:

Actual arrow speed (v) = IBO + (L – 30) * 10 – W/3 + min(0, -(A – 5 * D/3))

After plugging everything in, you’ll find the arrow would travel at a speed of around 301.67 feet per second with these settings.

Importance of Arrow Speed Calculator

The Arrow Speed Calculator is a vital tool in archery for several essential reasons:

  1. Precision Shooting: The Arrow Speed Calculator helps archers shoot accurately by adjusting their equipment for the perfect arrow speed.
  2. Improved Performance: Archers can optimize their gear by fine-tuning draw length, draw weight, and arrow weight.
  3. Efficient Hunting: For hunters, it’s crucial for a quick and humane kill, ensuring arrows move at the right speed.
  4. Safety First: It prevents injury by maintaining a manageable draw weight, making shooting safer.
  5. Smart Gear Selection: The calculator assists in selecting the right arrows and bows to match individual needs.
  6. Savings: It helps save money by guiding archers to choose gear that suits them, avoiding unnecessary expenses.
  7. Competitive Advantage: In competitions, it gives archers an edge by meeting specific rules and requirements.
  8. Skill Enhancement: Arrow Speed Calculator encourages archers to learn more about their equipment and improve their skills over time.

Arrow Speed Calculator FAQs

What device measures arrow speed?

You can measure arrow speed using different tools like optical chronographs, Doppler chronographs, or audio applications on laptops. These methods usually give similar speed readings.

Optical chronographs are reliable at any shooting distance but can get damaged if your shots aren’t accurate. Meanwhile, the Doppler chronograph is fast and easy to use.

How can I calculate arrow speed without a chronograph?

To estimate your arrow’s speed, follow these simple steps:

  1. Shoot a group of arrows from 20 yards, using the pin set for this distance.
  2. Mark the center of this group as your reference point.
  3. Change the distance to 40 yards and shoot another group of arrows using the same 20-yard pin.
  4. Mark the center of this second group.
  5. Measure the distance between the two marked centers.

Now, use the table below to find the estimated speed based on the measured distance:

  • 28.7 inches –> 220 fps
  • 24.2 inches –> 240 fps
  • 20.6 inches –> 260 fps
  • 17.7 inches –> 280 fps
  • 15.5 inches –> 300 fps
  • 13.6 inches –> 320 fps
  • 12.8 inches –> 330 fps

This method provides a straightforward way to estimate your arrow’s speed without the need for complex equipment.

How fast can an arrow travel?

Using a recurve bow, arrows typically fly at speeds of about 225 feet per second (fps) which is calculated or around 150 miles per hour (mph). On the other hand, arrows launched from a compound bow can reach speeds of up to 300 fps, equivalent to roughly 200 mph. Heavier longbows, though, send arrows at a slower pace because of their added weight.

What affects arrow speed?

Arrow speed depends on a few factors like the bowstring’s weight and length, the arrow’s weight, and even the weather. Arrows slow down in wet weather or when it’s raining. Arrows that zip through the air at high speed tend to fly straighter and are less influenced by the wind.

How does draw weight affect arrow speed?

Increasing the draw weight makes your arrow fly faster because it gives the arrow more energy. For every 5 pounds you add to the draw weight, your arrow’s speed can increase by 10 feet per second. But remember, it’s crucial to strike a balance and not overdo it with the draw weight to keep the bowstring manageable.