What is the maximum distance my PSE Drive LT compound bow can shoot an arrow?

  • Context: Undergrad 
  • Thread starter Thread starter Joe Collins
  • Start date Start date
Click For Summary

Discussion Overview

The discussion centers around estimating the maximum distance a PSE Drive LT compound bow can shoot an arrow under optimal conditions. Participants explore various factors influencing arrow flight, including specifications of the bow and arrow, environmental conditions, and the effects of air resistance.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant provides detailed specifications of their bow and requests an estimate of arrow flight distance under optimal conditions.
  • Another participant questions whether air resistance should be considered in the calculations, suggesting it complicates the estimation.
  • Some participants argue that practical testing in an open field may yield better results than theoretical calculations.
  • There is a suggestion that varying the launch angle could optimize distance, with some proposing that a higher angle than 45 degrees might be necessary due to wind resistance.
  • One participant emphasizes the importance of knowing the drag coefficient for accurate calculations, noting that estimates may be uncertain.
  • Another participant expresses a desire for a range of distances rather than a specific yardage, acknowledging the variability in arrow flight due to various factors.
  • Some participants discuss the complexities of projectile motion with air resistance and the challenges of deriving accurate estimates without experimental data.
  • There is a mention of the potential for overestimating launch angles and the need for careful consideration of the angle for maximum range.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best method to estimate the maximum distance. There are multiple competing views regarding the importance of air resistance, the optimal launch angle, and the feasibility of practical testing versus theoretical calculations.

Contextual Notes

Limitations include the dependence on assumptions about environmental conditions, the complexity of calculating drag coefficients, and the variability of results due to human factors and external conditions.

Joe Collins
Messages
2
Reaction score
0
I have a PSE Drive LT compound bow. I would like to know how far my arrow will fly in optimal conditions. Here are the specifications. If additional information is needed feel free to ask.

Average arrow weight(in grains)- 358.030714
Draw length(in inches)- 26.5
Draw weight(in pounds)- 50
Arrow velocity when leaving the bow(in feet per second)- 253.32
Bow/projectile angle when leaving the bow(in degrees)- 45

Let's assume that barometric pressure is between 20-40 inHg, humidity is between 30-75%, 0mph wind, flat ground with no obstructions, 100 feet above sea level, with the temperature being between 50-80F.

The reason I want to know is because I'm curious as to what the limits of my bow are. Any help would be greatly appreciated. Thanks in advance!

-Joe
 
Physics news on Phys.org
You give the approximate barometric pressure and ask for the optimal conditions, so would you hope to calculate the situation with the resistance of the air?
 
Joe Collins said:
I have a PSE Drive LT compound bow. I would like to know how far my arrow will fly in optimal conditions. Here are the specifications. If additional information is needed feel free to ask.

Average arrow weight(in grains)- 358.030714
Draw length(in inches)- 26.5
Draw weight(in pounds)- 50
Arrow velocity when leaving the bow(in feet per second)- 253.32
Bow/projectile angle when leaving the bow(in degrees)- 45

Let's assume that barometric pressure is between 20-40 inHg, humidity is between 30-75%, 0mph wind, flat ground with no obstructions, 100 feet above sea level, with the temperature being between 50-80F.

The reason I want to know is because I'm curious as to what the limits of my bow are. Any help would be greatly appreciated. Thanks in advance!

-Joe

Welcome to the PF, Joe.

You can't neglect air resistance, especially because of the fletchings on the arrow. Figuring out the drag coefficient will probably be pretty complicated. It may be easier to just go out to an open field and test it yourself.
 
berkeman said:
It may be easier to just go out to an open field and test it yourself.
It's really a practical good way, but the result may vary a lot to get an accurate answer? Maybe try to simplify the model?
 
tommyxu3 said:
It's really a practical good way, but the result may vary a lot to get an accurate answer? Maybe try to simplify the model?

The results shouldn't vary that much. The OP should vary the launch angle a bit off of 45 degrees to find the optimum distance launch angle. With wind resistance, I think the launch angle will need to be a bit higher than 45 degrees to get maximum flight distance.
 
tommyxu3 said:
It's really a practical good way, but the result may vary a lot to get an accurate answer? Maybe try to simplify the model?
Any calculation will require to know the drag coefficient. Attempting to estimate this coefficient will very likely result in uncertainties that will be much larger than what you can get by direct experiment with your arrow.
I am not sure what even "a more accurate answer" will mean in this context. The range of your bow is not some constant, very "accurate" number. The best you can get is some estimate.
 
I am looking for more of a range rather than a specific yardage; an estimate is what I'm after. I'm well aware that the arrow will not travel the same distance every time due to wind variations(which is why I omitted them), human error(differences in releasing the string, etc), and other factors. However, I do think the range of the arrow when fired at any specific angle will be relatively consistent. (i.e. If fired at 45.5degrees it will land between 500-520 yards consistently.) This is the type of answer I was looking for.

Unfortunately, I do not have a large piece of property in which I can fire my bow to test it's range. The guys over on the bow hunting forum suggested I do that, which is why I came here and asked.
 
So you mean you cannot actually use your bow to maximum range?
Why does it have to be your own property?
Sorry, these don't answer you question, just being curious. :smile:

But if want to compare bows, knowing the initial speed (which you seem to know) should be enough.
For same type or arrow, higher initial speed will produce longer range.

This may be interesting though:
https://sites.google.com/site/techn...rag-coefficients-of-bullets-arrows-and-spears

It gives some specifics of some arrows, towards the bottom.
 
  • Like
Likes   Reactions: berkeman
  • #10
berkeman said:
The results shouldn't vary that much. The OP should vary the launch angle a bit off of 45 degrees to find the optimum distance launch angle. With wind resistance, I think the launch angle will need to be a bit higher than 45 degrees to get maximum flight distance.
The optimal angle is lower than 45 degrees. The arrow falls down steeper than it rises, making that even steeper does not help. The added range in the earlier flight increases distance more.

On the other hand, we usually overestimate angles relative to the ground, so aiming for 45 degrees or even more is probably not a bad idea.

Without an estimate for the drag coefficient of the arrow it is impossible to make reasonable estimates. Air resistance is certainly not negligible.
 
  • Like
Likes   Reactions: berkeman
  • #11
You want someone that will happily solve your nonlinear differential equation for minimal action. This must have been done one thousand times, and is elemental in M1A1 target solutions. Ask the mathematicians. The physicists scratch their heads. The math guys should love this simple respite from whatever it is they do.