How Can Bernoulli's Equation Explain a Floating Ball?

AI Thread Summary
Bernoulli's equation can be applied to demonstrate how a floating ball is influenced by pressure differences. The equation P1 + 1/2pv1^2 = P2 + 1/2pv2^2 illustrates the relationship between high and low pressure areas, where P1 represents atmospheric pressure and P2 is the pressure in the low pressure area created by the air pump. The user has successfully identified variables for the high pressure area but is struggling to determine either the pressure or velocity for the low pressure area. To solve this, they need to rearrange the equation to isolate the unknown variable. Understanding these relationships is crucial for completing the project on Bernoulli's floating ball.
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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