Equation for Floating Ball in Air Jet: F=ma

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SUMMARY

The discussion centers on calculating the forces acting on a floating ball in an air jet, specifically using the equation F=ma. The ball's mass is given as 2g (0.002kg), and the gravitational force acting downwards is calculated to be 0.0196N. Participants suggest exploring the drag coefficient equation to determine the upward force acting on the ball, while acknowledging the complexity of deriving a single equation for this scenario. The consensus indicates that a mathematical model may be necessary, but a closed-form solution is not guaranteed.

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Is anybody aware of an equation that can be used to describe a floating ball in an air jet?

http://www.ap.stmarys.ca/demos/content/fluids/bernoulli_floating_ball/bernoulli_floating_ball.html

I'd just like to put numbers into an equation and prove that the forces on either side of the ball are equal.

the balls mass is 2g
take gravity as 9.81ms ?

F=ma (0.002kg x 9.81) = 0.0196N

that should be the component of force acting downwards upon the ball, would you agree?

Now i'd like to find a way of calculating the force acting up on the ball, which I'd expect to be close to the figure above. Any suggestions ?

I don't know if I'm on the right track because I'm a bit thick but should I be looking into the drag coefficient equation ?
 
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I do not think that you will find a single simple equation which will do what you want. One could create a mathematical model of this situation, but I cannot guarantee that the resulting system of equations would have a closed form solution.
 
i'm probably just better off saying that it follows Newtons 2nd law. Thnx for reply anyway :)
 

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