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?
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Expert's answer
2012-02-21T11:07:53-0500
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:
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