Arrow Speed Calculator

The following criteria should be used to modify the IBO-specified arrow speed

• For each inch of draw length less than 30′′, subtract 10 ft/s from the IBO value.
• For every inch of draw length beyond 30′′, add 10 ft/s to the IBO value.
• For every 3 grains of total arrow weight overdraw weight multiplied by 5, subtract 1 ft/s from the IBO value.
• For every 3 grains of additional weight on the bowstring, subtract 1 ft/s from the IBO number.

All of these rules can be summed up as follows v = IBO + (L - 30) * 10 - W / 3 + min (0, -(A - 5D)/3)

• Where, v = actual arrow speed in ft/s,
• IBO is the arrow speed according to the IBO specification in ft/s,
• L = draw length in inches,
• W = additional weight on the bowstring in grains,
• A = arrow weight in grains, and
• D = draw weight in pounds.

You may also use the arrow speed calculator to calculate the arrow's momentum and kinetic energy. These are calculated in the following way

• Momentum = A * v
• Kinetic energy = A *v^2 / 2

The units are automatically converted using our arrow speed calculator. If you're doing all of these calculations by hand, keep track of the units you're using

To quickly verify the arrow speed, follow these easy rules and guidelines.

• Step 1:Examine the question for the necessary information.
• Step 2: Subtract 30 from the length of the sketch and multiply it by 10.
• Step 3: Three times the added weight is divided on the bowstring
• Step 4: Subtract step 2's result from step 3's result.
• Step 5: Fill in the blanks in the IBO with the outcome.

For more concepts check out physicscalculatorpro.com to get quick answers by using this free tool.

Question 1: If the draw length is 42 inches, the BOW IBO rating is 450 ft/s, the draw weight is 80 lbs, the arrow weight is 600 grains, and the additional weight is 6 grains. How do you calculate the arrow's speed and kinetic energy?

Solution:

Given:

Bow IBO rating = 450 ft/s

Draw length L = 42 in

Additional weight on the bow W = 6 grains

Draw weight D = 80 lbs

Arrow weight A = 600 grains

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

v = 450 + (42 - 30) x 10 - 6/3 + min(0, -(600 - 5 x 80)/3)

= 450 + 120 - 2 + min(0, -(600 - 400)/3)

= 568 - 66.67

= 501.33

Hence, the speed of the arrow is 501.33 ft/s.

1. Is it true that arrow speed calculators are accurate?

The precision of the IBO rating on the bow determines the accuracy of the calculation, and different manufacturers utilise varying tolerances for draw length and draw weight.

2. Is arrow speed affected by the length of the draw?

The greater your draw length is, the longer your bow's power stroke is, and the faster your bow shoots. As a matter of thumb, 1 inch of draw length equals around 10 feet per second of arrow velocity.

3. Is it true that lighter arrows go faster?

Lighter arrows fly quicker and can form tighter groups, but they're more difficult to tune. Heavier arrows go slower, but they are more resistant to wind and penetrate further.

4. Is it faster to shoot an arrow or a bullet?

Arrows travel at a slower rate than bullets. The speed of an arrow is determined by the archer's and bow's capabilities. The fastest bow's arrow travels at 360 feet per second, whereas the slowest bullet travels at 400 feet per second. Bullets are thus faster than arrows.