Pressure Variation in a Tilted Fluid Column

AI Thread Summary
The discussion revolves around calculating the gauge pressure at the top of a tilted fluid column in a tube filled with a sterile solution. The tube is 0.3 m long and tilted at 40°, with a known gauge pressure of 3000 Pa at the base. Initial calculations using the formula pgh did not yield the expected pressure, leading to confusion regarding the impact of the tilt on pressure measurements. Participants suggest considering the vertical height change due to the tilt and applying Bernoulli's equation for a more accurate solution. Understanding the geometry of the situation is crucial for determining the correct pressure at the top of the tube.
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Homework Statement


A 0.3 m long tube is filled with sterile solution of density 1037 kg m-3 and closed at the top. The tube is tilted at 40°. to the horizontal. The gauge pressure at the base of the tube is 3000 Pa. What is the gauge pressure at the top of the tube (in Pa)?

Homework Equations





The Attempt at a Solution



So I assumed that the tilting would have no effect so I just used pgh to find the weight of the fluid up until the bottom but that didnt even give me 3000 ... i got 3111
im really confused as how to how to respond to the change in angle.

cheers
 
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The tilting would change the vertical height. It would be like a right angled triangle. I also think Bernoulli's equation would work here.
 

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