Calculating Fluid Density: P2-P1/gh

In summary, the conversation discusses using the equation P2=P1+pgh to solve for the density of a fluid when given the pressure at the top and bottom surfaces of a cubical box immersed in the fluid. Despite obtaining the same answer, there seems to be a problem with the CAPA server, which will be addressed with the physics professor the following day. Clarification is also made regarding the correct equation to use, which is p = p1-p2 / g*h rather than P2-P1.
  • #1
superjen
26
0
A cubical box 24.85 cm on each side is immersed in a fluid. The pressure at the top surface of the box is 109.47 kPa and the pressure at the bottom surface is 112.03 kPa. What is the density of the fluid?


i used
P2=P1+pgh

P2-P1 divded by gh = p
i used this to solve for p, when i checked my answer, it was wrong.

any help?
 
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  • #2
Looks okay to me. Did you get 1050 kg/m^3 ?
 
  • #3
i did. but it keeps comming up wrong :S , there must be something wrong with my CAPA server. ill have a talk with my physics prof tomorroe about it
 
  • #4
If you wanted to solve for p, wouldn't the equation be:

[tex]p = p1-p2 / g*h[/tex]


You used P2-P1.

I got 1050 too.
 

FAQ: Calculating Fluid Density: P2-P1/gh

What is the formula for calculating fluid density using P2-P1/gh?

The formula for calculating fluid density using P2-P1/gh is density = (P2 - P1) / (g * h), where P2 is the pressure at the bottom of the fluid, P1 is the pressure at the top of the fluid, g is the gravitational acceleration, and h is the height of the fluid.

Why is it important to calculate fluid density?

Calculating fluid density is important for a variety of reasons. It can help determine the buoyancy of an object in the fluid, the flow rate of a fluid, and the pressure exerted by the fluid. It is also a crucial factor in many engineering and scientific applications, such as designing pumps, turbines, and other fluid systems.

How is fluid density related to pressure and height?

Fluid density is directly related to pressure and height. As the pressure increases, the density of the fluid also increases. Similarly, as the height of the fluid increases, the density decreases. This relationship can be seen in the formula for calculating fluid density, where the pressure difference and height are both factors in the numerator and denominator.

Can fluid density change?

Yes, fluid density can change. It is affected by factors such as temperature, pressure, and composition of the fluid. For example, as the temperature of a fluid increases, its density decreases. Additionally, compressible fluids, such as gases, can have varying densities depending on the pressure they are under.

How do you measure the pressure and height for calculating fluid density?

The pressure can be measured using a pressure gauge, which can be a simple handheld device or a more advanced instrument such as a manometer. The height of the fluid can be measured using a ruler or a measuring tape. It is important to ensure that the height is measured from the same reference point for both P1 and P2 in order to obtain an accurate calculation.

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