How Can Bernoulli's Equation Explain a Floating Ball?

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SUMMARY

This discussion focuses on applying Bernoulli's equation to demonstrate the principles of fluid dynamics using a floating ball. The equation used is P1 + 1/2pv1^2 = P2 + 1/2pv2^2, where P1 represents the atmospheric pressure at 101.3 KPa, p is the density of air at 1.29 kg/m^3, and v1 is the velocity at the high-pressure area, which is 0 m/s. The user seeks assistance in determining either the pressure (P2) or the velocity (v2) in the low-pressure area created by the air pump that enables the ball to float.

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smither777
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Hi,

I need help with a project on Bernoulli's floating ball. I wanted to prove with the use of Bernoulli's equation that the the velocity or pressure in one side of the equation (the low pressure area) is lower in pressure or higher in velocity.

This is what I have so far:
Using: P1 + 1/2pv1^2 = P2 + 1/2pv2^2 , where P1 is the High Pressure area (atmospheric pressure), p = density of the gas, v = velocity and where P2 is the Low Pressure area (the air from the pump that makes the ball float).

I was able to obtain the variables for the High PRessure area:
P1 = 101.3 KPa
p = 1.29 kg/m^3
v = 0 m/s

However, I have a problem now for obtaining the variables in the Low Pressure area...
P2 = ? (i could obtain this one instead of velocity..)
p = 1.29 kg/m^3
v = ? (i could obtain this one instead of Pressure)

I don't know now how to obtain either Pressure or the velocity of the fluid that's in the low pressure area... please help.. thank you.
 
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