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 $$v(r) = \frac{P}{4\eta L}(R^2 − r^2)$$ where $P$ is the pressure difference between the ends of the vessel and $\eta$ is the viscosity of the blood (See Example.). Find the average velocity (with respect to $r$) over the interval $0 \leq r \leq R$.
$v_{\text{ave}} =$______
Compare the average velocity $v_{\text{ave}}$ with the maximum velocity $v_{\text{max}}$.
$\dfrac{v_{\text{ave}}}{v_{\text{max}}}=$_____
This problem is driving me crazy, I understand average value and have no problem with solving average value problems. However I do not know what the question is asking of me, I have tried many different answers on web assign with no luck.
I am given a link to an explanation of blood velocity with an example in it giving me numbers $R=.008~\text{cm}$, $L= 2~\text{cm}$, $\eta =.027$ and $P =4000~\frac{\text{dynes}}{\text{cm}^3}$ and an example radius of $r =.002~\text{cm}$.
Thank you for any help.