Calculating Force Needed to Push Fluid into a Vein at 18 mm Hg Pressure

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Homework Help Overview

The discussion revolves around calculating the force required to push fluid into a vein at a gauge pressure of 18 mm Hg. The original poster is attempting to understand the necessary conversions and equations involved in this fluid mechanics problem.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster discusses the need for the density of mercury and attempts to convert gauge pressure into pascals. They express uncertainty about their calculations and the appropriate diameter to use in their equations.

Discussion Status

The discussion appears to be ongoing, with the original poster seeking clarification on their calculations and the correct parameters to use. There is a lack of responses providing guidance or alternative approaches, indicating that the topic may still be open for exploration.

Contextual Notes

There is mention of potential confusion regarding unit conversions and the diameter needed for calculations, which suggests that these factors are critical to the problem but have not been fully resolved in the discussion.

Paulbird20
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What force on the plunger would be needed to push fluid into a vein where the gauge pressure is 18 mm Hg? Answer for the instant just before the fluid starts to move.

I know i need the density of mercury (in Meters) and that equals = 13.534e-3 / 100 which is

1.3534e-4 for the density

Next i did the conversion of the atm pressure of mercury and got 133 n / m2. (i think that's correct)

ok so i know i need to use pascals and i developed my equations i was given and ended with

F1 = P1/ A1

Which is

Density mercury * atm pressure mercury * 9.8 / pie * D^2

I think that is the correct equation and when i use it i get the wrong answer.

What I am really stuck with is what i use as the diameter.

Any help would be great if i messed up any conversions and what not. TY
 
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