Solving Blood Pressure Difference with Constricted Artery

[LostInScience]

Homework Statement

Normal blood speed is 0.13 meters/second. If an artery has a narrowing down to one-seventh of the normal cross-sectional area, what is the difference in blood pressures between the normal and constricted segments? Answer is Pascals. Blood density is 1060 kg/meters^3.

I tried this problem using a number of different equations and am just stumped. My answers range from -429.9 to 422.7!

I have tried Pressure 2 - Pressure 1=1/2(Density)(Velocity^2 segment 1 -Velocity^2 segment 2)

I also tried Pressure 2 - Pressure 1 =
1/2(Density)(Velocity^2 segment 1 [(Area 1/Area 2)(Velocity 1)]^2

Am I totally wrong with all of my equations?

Any help would be greatly appreciated!

 

[member 553083]

Homework Equations Pressure 2 - Pressure 1=1/2(Density)(Velocity^2 segment 1 -Velocity^2 segment 2)Pressure 2 - Pressure 1 = 1/2(Density)(Velocity^2 segment 1 [(Area 1/Area 2)(Velocity 1)]^2The Attempt at a Solution I tried this problem using a number of different equations and am just stumped. My answers range from -429.9 to 422.7!