How Fast Does Blood Travel Through an Arteriole?

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Homework Help Overview

The discussion revolves around calculating the speed of blood flow through an arteriole, given its diameter and volumetric flow rate. The subject area includes fluid dynamics and the properties of blood as a fluid.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between volumetric flow, area, and velocity, with one participant attempting to apply the density of water to the problem. There is also a distinction made between speed and velocity, prompting clarification on these terms.

Discussion Status

The discussion is exploring different interpretations of the terms speed and velocity, with some participants providing insights into the equations relevant to fluid flow. There is no explicit consensus on how to proceed with the calculations, but foundational concepts are being clarified.

Contextual Notes

Participants are working with specific values for diameter and flow rate, but there is uncertainty regarding the application of these values in the context of pressure and the definitions of speed versus velocity.

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Homework Statement



A typical Arteriole has a diameter of .030 mm and carries blood at the rate of 5.5* 10^-6 cm^3/s. What is the speed of the blood in an arteriole?

Homework Equations



s=P/vρ

The Attempt at a Solution



Blood is made of mostly water, so I used the same ρ as water (ρ=1000), and multiplied by the velocity given. I have the diameter, but I am not sure what do do with it or how to find the pressure.
 
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Volumetric flow is given by:

Q=A*V and has the units of volume per unit time. A is area, V is velocity

So, determine the velocity from the above equation.
 
I already have velocity, I am looking for speed
 
Speed is the magnitude of velocity. Velocity is a vector entity. It has both magnitude and direction. Speed is only the magnitude of velocity.
 

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