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i need to know how far a .50 cal round will go if fired at a 45 degree angle with a muzzle velocity of 2850fps

 Jul 17, 2015

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 #2
avatar+33658 
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"48 miles.    Mmmm Now that sounds like a stretch."

 

In reality there will be some air-drag resistance.  The resistive force tends to be proportional to velocityn, and while the bullet is supersonic n can be as high as 6.  This would have a significant impact on the total distance travelled!

.

 Jul 25, 2015
 #1
avatar+118703 
+5

i need to know how far a .50 cal round will go if fired at a 45 degree angle with a muzzle velocity of 2850fps

 

The initial vertical velocity will be 2850*sin(45)=1425*sqrt(2)  f/s

The initial horizontal velocity will be 2850*cos(45)=1425*sqrt(2)  f/s

Let the initial point be x=0,y=0

 

¨y=32fps2˙y=32t+14252fpsy=16t2+14252t+0f$Findtwheny=0$0=16t2+14252t0=t(16t+14252)t=0or16t=14252t=0ort=1425216sec

 

¨x=0˙x=14252x=14252tfeetWhent=1425216secx=14252×1425216feetx=14252216feet

 

14252×216=253828.125

 

253828 feet  

 

2538285280=48.0734848484848485

 

48 miles.    Mmmm Now that sounds like a stretch.   

 Jul 17, 2015
 #2
avatar+33658 
+5
Best Answer

"48 miles.    Mmmm Now that sounds like a stretch."

 

In reality there will be some air-drag resistance.  The resistive force tends to be proportional to velocityn, and while the bullet is supersonic n can be as high as 6.  This would have a significant impact on the total distance travelled!

.

Alan Jul 25, 2015
 #3
avatar+118703 
0

Thanks Alan that makes good sense :)

 Jul 25, 2015

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