Finding blood pressure from density and height difference

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SUMMARY

The discussion centers on calculating blood pressure using the formula for gauge pressure. A participant initially used the equation P = ρgh, resulting in a pressure of 8544.51 N/m². However, it was clarified that the correct approach involves the equation Δp = ρgΔh, emphasizing the importance of gauge pressure in the calculation. The conversation highlights the distinction between absolute pressure and gauge pressure, referencing the equation Pabs = Pg + Patm.

PREREQUISITES
  • Understanding of fluid mechanics principles
  • Familiarity with the concept of gauge pressure
  • Knowledge of the equation Δp = ρgΔh
  • Basic grasp of atmospheric pressure and its role in pressure calculations
NEXT STEPS
  • Study the derivation and applications of the equation Δp = ρgΔh
  • Explore the differences between absolute pressure and gauge pressure
  • Learn about pressure measurement techniques, including manometers
  • Investigate real-world applications of fluid pressure calculations in medical contexts
USEFUL FOR

Students in physics or engineering, medical professionals involved in blood pressure measurement, and anyone interested in fluid dynamics and pressure calculations.

yourheartandsoul
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Homework Statement
A large artery is cannulated, and a saline solution of density 1300 kg * m ^ - 3 is used as the manometer fluid. What is the blood pressure ( gauge pressure ) if the height difference in the manometer tubes is 0.67 m?
Relevant Equations
P=dgh
I did (1300)(9.81)(0.67) and got 8544.51 N/m^2 but unsure if that was the correct route to take. Please confirm or deny if I was approaching it in the correct way!
 
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yourheartandsoul said:
unsure
Why ?
 
BvU said:
Why ?
Because I know there is another formula for gauge pressure and I'm worried it might be that equation and not the one I used.
 
yourheartandsoul said:
another formula for gauge pressure
Namely ?
 
BvU said:
Namely ?
Pabs = Pg + Patm
 
The exercise text mentions gauge pressure explicitly...
 

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