(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The velocity v of blood that flows in a blood vessel with radius R and length l at a distance r from the central axis is v(r), where P is the pressure difference between the ends of the vessel and η is the viscosity of the blood.

v(r) = P/4nl (R^2 - r^2)

a) Find the average velocity vave (with respect to r) over the interval 0 ≤ r ≤ R.

vave =

(b) Compare the average velocity vave with the maximum velocity vmax.

2. Relevant equations

v(r) = P/4nl (R^2 - r^2)

and

http://www.mediafire.com/imageview.php?quickkey=v2qyuycs2k81812&thumb=6 [Broken]

3. The attempt at a solution

I'm looking at this and trying to work it out and the best I can do now is cry. But seriously, I don't know what's important and what's not. I'll take anything. I know average velocity is 1/(b-a) integral of what you're doing but it doesn't make much sense to me to take the integral of that nasty equation so I'm at a loss.

Thanks

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# Homework Help: Average velocity over an interval

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