Register to reply 
Optimal angle for cannon? 
Share this thread: 
#1
Jun705, 10:47 PM

P: 9

I was trying to figure out the best angle to shoot a cannon, with air resistance in the differential equation. I came up with ~36.5 degrees, is that right?



#2
Jun705, 10:48 PM

P: 4

I would bend a little more towards 30 degrees...



#3
Jun705, 10:58 PM

P: 9

wanna explain how u got that one. It shouldnt depend on anything except gravity mabye and the air resistance possibly. (assuming we are talking about only 1 type of cannon ball)



#4
Jun705, 11:13 PM

P: 4

Optimal angle for cannon?



#5
Jun705, 11:19 PM

P: 9

Im talking about an idealized situation where the cannon balls are the same and the air is exactly the same.
Anyone else have an opinion? 


#6
Jun805, 03:43 AM

P: 1

How did you arrive at your answer?



#7
Jun805, 05:02 AM

Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 39,348




#8
Jun805, 06:11 AM

P: 2,179

For realtively low muzzle velocity, it matters whether the distance is measured at the same elevation as the muzzle. For relatively high muzzle velocity, the radius of the planet you are on becomes an issue. With a high enough muzzle velocity, you could put a projectile in orbit using an angle of zero degrees.



#9
Jun805, 09:20 AM

Sci Advisor
HW Helper
PF Gold
P: 2,903

The angle is dependant on a number of variables including initial ball velocity, mass of ball and size of ball (cross sectional area for drag calculation). If you wanted to get more accurate, the variation of air density with altitude and variation of coefficient of drag as a function of velocity would need to be added.
There is no single value for the angle which is optimal. 


#10
Jun805, 03:24 PM

Sci Advisor
HW Helper
P: 3,033




Register to reply 
Related Discussions  
An optimal diet  General Discussion  39  
Optimal number of goes  Set Theory, Logic, Probability, Statistics  7  
Optimal Cost  Precalculus Mathematics Homework  5  
Optimal Angle  Introductory Physics Homework  8  
Trouble with Proof of Optimal Launch Angle  Introductory Physics Homework  2 