- #1
Telemachus
- 835
- 30
Hi there. I'm having some trouble to determine the distance determined by the Coriolis effect over a projectile. Let's suppose the projectile is fired from the north pole over the noth-south direction, with enough speed to get to the equator. How do I determine the distance that the projectile will travel over the west-east direction as a consequence of the Coriolis force? the thing is that there are a couple of things to have in mind. At first, the acceleration of gravity will produce changes over the relative speed. We know that the coriolis acceleration is: [tex]a_{cor}=2\omega\times{v_{rel}}[/tex], where [tex]a_{cor}[/tex] is the coriolis acceleration, omega is the rotational speed of the earth, and [tex]v_{rel}[/tex] is the relative speed of the object measured from the earth, which is the non inertial frame.
So, the acceleration of gravity will produce a change of speed on the direction of the radius vector directed to the center of the earth, and at the same time the coriolis effect will produce changes over the speed. I don't know how to do the math for this. I will really appreciate if someone can give me some help with this. I'm not intending to get numbers concretely but a mathematic analysis of the case, giving consideration only to the effects produced by the coriolis effect, but having in mind the other things that directly affect the coriolis acceleration, which are the other accelerations, so probably I should have in consideration the centrifugal force too. But if I'm asked to only determine the deflection produced by the coriolis effect in the case of the projectile fired from the north pole, what am I exactly supposed to do?
By there, and thanks for your help and your time.
So, the acceleration of gravity will produce a change of speed on the direction of the radius vector directed to the center of the earth, and at the same time the coriolis effect will produce changes over the speed. I don't know how to do the math for this. I will really appreciate if someone can give me some help with this. I'm not intending to get numbers concretely but a mathematic analysis of the case, giving consideration only to the effects produced by the coriolis effect, but having in mind the other things that directly affect the coriolis acceleration, which are the other accelerations, so probably I should have in consideration the centrifugal force too. But if I'm asked to only determine the deflection produced by the coriolis effect in the case of the projectile fired from the north pole, what am I exactly supposed to do?
By there, and thanks for your help and your time.