the pressure inside a 1.0cm radius vessel carrying blood with a speed of 0.50m/s is 5200 Newton/ square meter, while the pressure outside is 3200 Newton/ square meter. to what radius must the vessel be reduced so that the outside pressure is greater than that inside, thus making the vessel close at the constriction?
Let's find the area of the vessel:
S = 4πr² = 4π1² = 4π.
We denote the inside pressure force by Fi and outside pressure force by Fo. When the radius is r=1 the values of these forces are: