Equation for Floating Ball in Air Jet: F=ma

  • Thread starter Thread starter skin
  • Start date Start date
AI Thread Summary
The discussion centers on finding an equation to describe the forces acting on a floating ball in an air jet. The user calculates the downward force on a 2g ball using F=ma, resulting in 0.0196N. They seek to determine the upward force, expecting it to be similar to the downward force. Suggestions include considering the drag coefficient and acknowledging the complexity of the situation, which may not yield a simple equation. Ultimately, the consensus leans towards applying Newton's second law for a comprehensive understanding.
skin
Messages
7
Reaction score
0
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 ?
 
Last edited by a moderator:
Physics news on Phys.org
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 :)
 
I think it's easist first to watch a short vidio clip I find these videos very relaxing to watch .. I got to thinking is this being done in the most efficient way? The sand has to be suspended in the water to move it to the outlet ... The faster the water , the more turbulance and the sand stays suspended, so it seems to me the rule of thumb is the hose be aimed towards the outlet at all times .. Many times the workers hit the sand directly which will greatly reduce the water...
Back
Top