Finding blood pressure from density and height difference

In summary, the density and height difference of a liquid, such as blood, can affect the pressure it exerts on vessel walls. Using only density and height difference may not provide an accurate measure of blood pressure as other factors such as vessel size and elasticity, heart rate, and blood volume also play a role. The formula for finding blood pressure using density and height difference is P = ρgh. However, this method should be used as a supplemental tool and is only reliable when considering other factors. This method can only be used for measuring blood pressure in vertical vessels with significant height difference and cannot be used for measuring blood pressure in horizontal or irregularly shaped vessels.
  • #1
yourheartandsoul
6
0
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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  • #2
yourheartandsoul said:
unsure
Why ?
 
  • #3
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.
 
  • #4
yourheartandsoul said:
another formula for gauge pressure
Namely ?
 
  • #5
BvU said:
Namely ?
Pabs = Pg + Patm
 
  • #6
The exercise text mentions gauge pressure explicitly...
 

FAQ: Finding blood pressure from density and height difference

How does density and height difference affect blood pressure?

The relationship between density and height difference can affect blood pressure through the hydrostatic pressure principle. As the height of a fluid column increases, the weight of the fluid also increases, resulting in higher pressure at the bottom. This pressure is transmitted to the blood vessels, causing an increase in blood pressure.

What is the formula for calculating blood pressure using density and height difference?

The formula for calculating blood pressure using density and height difference is P = ρgh, where P is the blood pressure, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the height difference between the two points.

How does the density of the fluid affect blood pressure?

The density of the fluid directly affects blood pressure as it is a key component in the calculation of pressure using the hydrostatic pressure principle. A higher density of the fluid will result in a higher pressure at the bottom, leading to an increase in blood pressure.

Can the height difference between two points affect blood pressure even if the density of the fluid remains constant?

Yes, the height difference between two points can still affect blood pressure even if the density of the fluid remains constant. This is because the hydrostatic pressure principle states that the pressure at the bottom of a fluid column is directly proportional to the height of the column, regardless of the density of the fluid.

How can measuring blood pressure using density and height difference be useful in a scientific setting?

Measuring blood pressure using density and height difference can be useful in various scientific settings, such as in the study of fluid dynamics, cardiovascular health, and in medical research. It can also be used in practical applications, such as monitoring blood pressure in patients and designing medical devices.

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