(a) the volume flow rate in an artery supplying the brain is 2.6 x 10-6 m3/s. if the radius of the artery is 4.8 mm, determine the average blood speed.
(b) find the average blood speed as a constriction in the artery if the constriction reduces the radius by a factor of 4. assume that the volume flow rate is the same as that in part (a).

(a) Speed will be 0.03594 m/sec

(b) Speed will be 0.0575 m/sec

Explanation:

(a) We have given volume flow rate

Radius of the artery r = 4.8 mm = 0.0048 m

We know that area

We know that volume flow rate , here v is velocity

So

(b) Now radius is reduced by factor 4

So new radius =

We know that area

We know that volume flow rate , here v is velocity

So