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Velocity of Arrow Vs Speed of Sound

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Old 08-14-2008, 12:40 PM
  #11  
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Default RE: Velocity of Arrow Vs Speed of Sound

AF...i did something similar once...but was comparing bow speeds and time it takes...

reallllllly not all that different from most of the bow speeds out there...so i kinda chuckle when i hear guys say shoot a faster bow to avoid the "duck"

cant remember the numbers and have no desire to do the crunching again...it just dont make a difference with the reaction time they have...

i think too many guys shoot alert deer or make deer alert by trying to stop them for the shot....
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Old 08-14-2008, 12:43 PM
  #12  
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Default RE: Velocity of Arrow Vs Speed of Sound

Mauser, I'm not even considering trying to find a way to avoid the duck, just saying at those speeds it's amazing how quickly the deer react to the "whump" of an arrow being sent down range. I am in total awe of that quick of reaction speed.
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Old 08-14-2008, 12:45 PM
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Default RE: Velocity of Arrow Vs Speed of Sound

A while back I did some similar calculations. I arbitrarily chose the horizontal deceleration of the arrow to be 0.25 ft/s per yard travelled. And I dragged my calcs out to 50 yds, at which it takes an arrow starting at 300 fps, .51 sec to get there.
The speed of sound is 1116 ft/s. It takes .134 sec to go 50 yds. Difference in time is .376.
At 30 yds an arrow takes .294 sec & sound takes .08 sec. Difference of .214 sec.

A deer does not have less time to react the farther away it is.
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Old 08-14-2008, 12:47 PM
  #14  
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Default RE: Velocity of Arrow Vs Speed of Sound

A deer does not have less time to react the farther away it is.
Which is why I wanted the "real" numbers.

Thanks, Rybo.
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Old 08-14-2008, 01:00 PM
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Default RE: Velocity of Arrow Vs Speed of Sound

I'm confused.....How can the deer have less time to react on a further shot? At 20 yards, you state it has 3/20 of a second to react.....That's far less time that the 1/3 of a second at 40 yards, isn't it? Or have I completely misread this?
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Old 08-14-2008, 01:14 PM
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Default RE: Velocity of Arrow Vs Speed of Sound

Here are some numbers(speeds @ different yardages)that I pulled from a Kanga post in the Tech forum.

The first arrow is 302gr with a FOC of 6%

The second arrow is 480gr with a 24% FOC.

Both arrows where spined perfectly for the bow.

I first shot the heavy arrow through the crono at point blank 249fps KE 66 ft/lb

Then the light arrow 299fps KE 59.9 ft/lb

Ok now for the fun.

Heavy arrow

10 yds 245 fps KE 64.1 ft/lb
20 yds 241 fps KE 62.3 ft/lb
30 yds 238 fps KE 60.5ft/lb
40 yds235 fpsKE 58.8 ft/lb
50yds231 fps KE 57.1 ft/lb

After a couple of minor tuningadjustments and resighting in for the light arrow.

10 yds 292 fps KE 57.2 ft/lb
20 yds 285 fps KE 54.6 ft/lb
30 yds 278 fps KE 52.1 ft/lb
40 yds272 fps KE 49.7 ft/lb
50 yds266 fps KE 47.4 ft/lb

So doing the Math the heavy arrow lost 18 fps and 9 ft/lb of Ke and the light arrow lost 33 fps and 12.5 ft/lb of KE from 0 to 50 yds.
mobow, you're right 3/20th of a sec is less than 1/3 sec. Think of it in percent. 3/20th is 15% of a second. 1/3 is 33% of a second.

I'm sure AF's brain was hurting after calculating all that. It is interesting though and yes those suckers react fast.
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Old 08-14-2008, 01:32 PM
  #17  
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Default RE: Velocity of Arrow Vs Speed of Sound

ORIGINAL: rybohunter

A while back I did some similar calculations. I arbitrarily chose the horizontal deceleration of the arrow to be 0.25 ft/s per yard travelled. And I dragged my calcs out to 50 yds, at which it takes an arrow starting at 300 fps, .51 sec to get there.
The speed of sound is 1116 ft/s. It takes .134 sec to go 50 yds. Difference in time is .376.
At 30 yds an arrow takes .294 sec & sound takes .08 sec. Difference of .214 sec.

A deer does not have less time to react the farther away it is.
My bad, using your arbitrary deceleration ratio, there is a 5/100ths difference using the initial speeds I used. I concede that the arrow will slow down, but even at that distance its the difference is very miniscule. Now take into affect the sound level difference. Something that is 50 decibels at source is not going to be as audible at 50 yards. Is the softer sound going to startle an animal as much as the lounder one?

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Old 08-14-2008, 01:45 PM
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Default RE: Velocity of Arrow Vs Speed of Sound

I don’t know what the loss of decibels over distance is, but yea it is pretty common that a loud noise close, will incite more reaction that a dull noise from farther away.

I was only number crunching for the situation that if the sound was audible and an animal was going to react, it had more time to do so from further out.
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Old 08-14-2008, 03:53 PM
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Default RE: Velocity of Arrow Vs Speed of Sound

I have seen deer appear to duck a shot from a muzzle loader with a bullet moving at 1800 fps, which is faster than the speed of sound. I personally have never had a deer duck a shot from a bow or a muzzle loader. I always hit right where I am aiming for, or within an inch or two.

I'm not going to say it never happens, but I bet most that say a deer ducked the shot probably miss judged the yardage or the deer was starting to move before they released the arrow. Basically they just missed.
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