Bernoulli's Equation: Floating Ball

[smither777]

Hi, I'm doing a project - Bernoulli's floating ball and i am trying to explain it using bernoulli's equation:

P1 + 1/2pv1^2 = P2 + 1/2pv2^2

Where P1 represents the High pressure areas surrounding the jet air and the ball (atmospheric pressure) of which I have managed to obtain its variables.

It is the low pressure area (P2) which I have a problem with. I believe I can obtain the volume (for p) by presenting an orientation of which is a cylinder, but I don't know how to obtain mass and the Pressure itself.

I will use the equation to obtain the velocity (v2) at the low pressure area.

Can anybody help? Thanks.

 

[Greg Bernhardt]

Hi there! You're tackling a really interesting project! It sounds like you're making good progress so far. To obtain the mass and pressure of the low pressure area, you could use methods such as a barometer or a thermometer to measure the atmospheric pressure and then calculate the mass based on the volume you identified for P2. I hope this helps. Good luck with your project!

 

[charng]

Hello,

Thank you for sharing your project on Bernoulli's floating ball. It is an interesting topic to explore using Bernoulli's equation.

To obtain the mass and pressure at the low pressure area (P2), you will need to consider the forces acting on the ball. The ball is being lifted by the jet air due to the pressure difference between the high and low pressure areas. This results in an upward force on the ball, which can be equated to the weight of the ball (mg) in equilibrium.

Using the ideal gas law, you can also relate the pressure (P2) to the volume (V) and temperature (T) of the gas inside the ball. As the ball is floating, the volume and temperature will remain constant, so you can solve for P2.

Once you have the mass and pressure, you can then use Bernoulli's equation to calculate the velocity at the low pressure area (v2). This will give you a better understanding of how the ball is able to float in the jet air.

I hope this helps. Good luck with your project!