What is the formula for the 3D trajectory of a curving ball?

In summary, the conversation revolves around the question of whether there is a formula for the trajectory of a curving ball in 3D. The response is that there is no general formula for such a complex problem, and that it would require breaking it down into its individual components and possibly using numerical solutions. The questioner is asked to provide more information before a solution can be determined.
  • #1
mariokan
1
0
Hello.
Does anybody knows the formula for trajectory of curving ball (in 3D).
 
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  • #2
Sorry Physics doesn't work that way. There is no store of "equations" on the shelf waiting for each and every situation.

We can say that it is a difficult problem of fluid dynamics. You could possibly generate numeric solutions to simplified versions of the problem. But there will be no closed form solution. It is not clear to me that there can even be a "simple" functional description of the general case.
 
  • #3
You'd definitely have to begin by splitting the problem into its x, y and z components and working from there. Think about projectile motion, etc. Anyway, you haven't given us enough info. Does it start from rest, is it moving, accelerating?
 

What is the trajectory of a curving ball?

The trajectory of a curving ball is the path that the ball takes as it moves through the air. It is affected by factors such as the initial velocity, angle of release, air resistance, and spin of the ball.

Why does a curving ball curve?

A curving ball curves due to the Bernoulli Principle, which states that an increase in the speed of a fluid (in this case the air) will result in a decrease in pressure. This pressure difference causes the ball to deflect in the opposite direction of the spin, resulting in a curved path.

How does spin affect the trajectory of a curving ball?

Spin plays a crucial role in the trajectory of a curving ball. Depending on the direction and speed of the spin, the ball will curve in the opposite direction. This is due to the Magnus effect, which states that the direction of the deflection will be perpendicular to the direction of the spin.

Can the trajectory of a curving ball be predicted?

Yes, the trajectory of a curving ball can be predicted using mathematical equations and physics principles. However, the exact trajectory may vary depending on external factors such as wind and air resistance.

What are some techniques for controlling the trajectory of a curving ball?

Some techniques for controlling the trajectory of a curving ball include adjusting the spin, speed, and angle of release. Additionally, changes in the surface of the ball, such as adding texture or altering the seams, can also affect the trajectory.

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