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TheLaughingMan
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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?
TheLaughingMan said:wanna explain how u got that one. It shouldn't depend on anything except gravity mabye and the air resistance possibly. (assuming we are talking about only 1 type of cannon ball)
What differential equation? And what value are you using for the air resistance? Don't you think we would need to know that?TheLaughingMan said: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?
TheLaughingMan said: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?
Q_Goest said: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.
The optimal angle for a cannon depends on several factors, such as the velocity and trajectory of the projectile, the distance to the target, and the force of gravity. Generally, a 45-degree angle is considered the most efficient for maximizing distance and accuracy.
To calculate the optimal angle for a cannon, you can use the equations of motion and basic trigonometry. First, determine the velocity of the projectile and the distance to the target. Then, use the equation tan(theta) = (v^2 sin(2theta)) / gD, where theta is the angle, v is the initial velocity, g is the force of gravity, and D is the distance to the target. This will give you the optimal angle for maximum distance.
Yes, the optimal angle for a cannon may vary depending on the type of projectile being used. This is because different projectiles have different velocities, trajectories, and weights, which can affect the optimal angle for maximum distance and accuracy.
Yes, external factors such as wind speed and direction, air resistance, and elevation can all affect the optimal angle for a cannon. These factors should be taken into consideration when calculating the optimal angle for maximum distance and accuracy.
Yes, determining the optimal angle for a cannon has many real-life applications, such as in military operations, sports like archery and javelin throwing, and even in engineering for designing projectile launchers. Knowing the optimal angle can help improve accuracy and efficiency in these fields.