Calculate Blood Pressure in Brain 30cm Above Heart - Help Please!

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    Human Pressure
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SUMMARY

The discussion centers on calculating the blood pressure in an artery located 30 cm above the heart, given a heart pressure of 120 mmHg and blood density of 1.05 g/cm³. The correct formula to use is: Pressure in head = Pressure in heart - (Height from heart to brain × density of blood × gravitational acceleration). The expected answer is approximately 96.73 mmHg, which aligns with the book's answer. The confusion arises from unit conversions and the need to use SI units for accurate calculations.

PREREQUISITES
  • Understanding of hydrostatic pressure principles
  • Familiarity with unit conversions, particularly between g/cm³ and kg/m³
  • Knowledge of gravitational acceleration (9.8 m/s²)
  • Basic proficiency in physics formulas related to fluid dynamics
NEXT STEPS
  • Review hydrostatic pressure calculations in fluid mechanics
  • Study unit conversion techniques between different measurement systems
  • Learn about the effects of temperature on blood density
  • Explore applications of pressure calculations in medical scenarios
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This discussion is beneficial for students in physics or medical fields, healthcare professionals involved in cardiovascular studies, and anyone interested in understanding blood pressure dynamics in relation to body positioning.

jmandas
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Human Pressure! Help Please!

I'm having a difficult time getting this blood pressure problem to work out. Here is the question:
Neglecting the pressure drop due to resistance, calculate the blood pressure in mmHg in an artery in the brain 30 cm above the heart. The pressure at the heartis 120mmHg and the density of blood is 1.05g/cm^3.
The answer in the book is 96.8mmHG but I keep getting a long negative answer!
Here is the formula I'm using:
Pressure in head=Pressure in heart - Height from heart to brain(density of blood)(9.8m/s^2).(may be using wrong formula)

Any help would be great I don't know what else to do?!
 
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The formula u're using is correct.I'm sure that u're screwing up the units.It would be okay to use SI-MKgs units.U'll need

\rho_{Hg}^{1 \ atm,293K}\sim13.595 Kg m^{-3}

Daniel.
 
Yes,i know that,on normal basis,the blood's temperature is not 20°,but ~37°,but using the density of Hg which i gave u,u get the answer ~96.73 mmHg...

Daniel.
 

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