What would happen if......
04-22-2004, 02:13 PM
#1
Thread Starter
Join Date: Feb 2004
Location: Inverness, MS
Posts: 3,982
What would happen if......
OK tech guys, figure this one out. I'm stuck looking out the window of my 11th story office building and wondering how far my arrow would travel from the base of the building if I flung an arrow at a 45 degree angle? My arrow travels about 260fps and weighs 385 grains.
Any ideas?...
Any ideas?...
04-22-2004, 02:29 PM
#4
Nontypical Buck
Join Date: Oct 2003
Location: Michigan
Posts: 4,693
RE: What would happen if......
Hey Rack - you forgot to factor in the added drag due to thermal rise. Let's assume this 11 story building is not in the middle of the woods and could possibly have parking lots around it. Let's also assume that Mississippi is warm this time of year. I'd recalculate if I were you.
04-22-2004, 02:43 PM
#5
Join Date: Feb 2003
Location: East Yapank NY USA
Posts: 3,457
RE: What would happen if......
Forced Angles and Polynomal expresion Formulas.
I run this small Formula based expression on Auto Cad 3d 2004. Using a constant of 2.2 as vector 1. Drag is interpilated by random subtraction and becomes a non variant at the outcome. Angle is not constant as tragectory is determined by Vector 1 x velocity sq.
I run this small Formula based expression on Auto Cad 3d 2004. Using a constant of 2.2 as vector 1. Drag is interpilated by random subtraction and becomes a non variant at the outcome. Angle is not constant as tragectory is determined by Vector 1 x velocity sq.
sinh(x) = ( e^{x} - e^{-x} )/2
csch(x) = 1/sinh(x) = 2/( e^{x} - e^{-x} )
cosh(x) = ( e x + e -x )/2
sech(x) = 1/cosh(x) = 2/( e^{x} + e^{-x} )
tanh(x) = sinh(x)/cosh(x) = ( e^{x} - e^{-x} )/( e^{x} + e^{-x} )
coth(x) = 1/tanh(x) = ( e^{x} + e^{-x})/( e^{x} - e^{-x} )
|<a, b>| = magnitude of vector = (a 2+ b 2)
|<x1, .., xn>| = (x12+ .. + xn2)
<a, b> + <c, d> = <a+c, b+d>
<x1, .., xn> + <y1, .., yn>= < x1+y1, .., xn+yn>
k <a, b> = <ka, kb>
k <x1, .., xn> = <k x1, .., k x2>
(a+b) 2 = a 2 + 2ab + b 2
(a+b)(c+d) = ac + ad + bc + bd
a 2 - b 2 = (a+b)(a-b) (Difference of squares)
a 3 b 3 = (a b)(a 2 ab + b 2) (Sum and Difference of Cubes)
x 2 + (a+b)x + AB = (x + a)(x + b)
if ax 2 + bx + c = 0 then x = ( -b (b 2 - 4ac) ) / 2a (Quadratic Formula)
csch(x) = 1/sinh(x) = 2/( e^{x} - e^{-x} )
cosh(x) = ( e x + e -x )/2
sech(x) = 1/cosh(x) = 2/( e^{x} + e^{-x} )
tanh(x) = sinh(x)/cosh(x) = ( e^{x} - e^{-x} )/( e^{x} + e^{-x} )
coth(x) = 1/tanh(x) = ( e^{x} + e^{-x})/( e^{x} - e^{-x} )
|<a, b>| = magnitude of vector = (a 2+ b 2)
|<x1, .., xn>| = (x12+ .. + xn2)
<a, b> + <c, d> = <a+c, b+d>
<x1, .., xn> + <y1, .., yn>= < x1+y1, .., xn+yn>
k <a, b> = <ka, kb>
k <x1, .., xn> = <k x1, .., k x2>
(a+b) 2 = a 2 + 2ab + b 2
(a+b)(c+d) = ac + ad + bc + bd
a 2 - b 2 = (a+b)(a-b) (Difference of squares)
a 3 b 3 = (a b)(a 2 ab + b 2) (Sum and Difference of Cubes)
x 2 + (a+b)x + AB = (x + a)(x + b)
if ax 2 + bx + c = 0 then x = ( -b (b 2 - 4ac) ) / 2a (Quadratic Formula)
04-22-2004, 02:43 PM
#6
Join Date: Feb 2003
Location: SC USA
Posts: 1,434
RE: What would happen if......
Nothing scientific .......and don't ask me how I know !! But a 350 grain carbon arrow fletched with feathers launched at 291 fps at a little steeper angle than 45 degrees(more like 60) will travel about 300 yrds !!!
Rack.......you want to lend me a hand ? As I am flipping back to my real work [8D] ......I am programming a CNC router to cut several complicated radius' in some MDF panels..........and it's given me a freakin headache !
It'd be a piece of cake for you !!
Rack.......you want to lend me a hand ? As I am flipping back to my real work [8D] ......I am programming a CNC router to cut several complicated radius' in some MDF panels..........and it's given me a freakin headache !
It'd be a piece of cake for you !!
04-22-2004, 03:46 PM
#9
Join Date: Mar 2004
Location: West CO
Posts: 941
RE: What would happen if......
Alright I got around 771.5 meters or 2531 feet.
But keep in mind I did it extremely rushed. I don't have much time between physics and chemistry class.
This is also neglecting thermals, wind, air resistance, and the occasional bird which could pass in front of the arrow.[8D]
But keep in mind I did it extremely rushed. I don't have much time between physics and chemistry class.
This is also neglecting thermals, wind, air resistance, and the occasional bird which could pass in front of the arrow.[8D]