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If cholesterol buildup reduces the diameter of an artery by$15 \%,$ by what $\%$ will the blood flow rate be reduced,assuming the same pressure difference?

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52$\%$

Physics 101 Mechanics

Chapter 13

Fluids

Fluid Mechanics

Cornell University

University of Michigan - Ann Arbor

University of Washington

Lectures

03:45

In physics, a fluid is a substance that continually deforms (flows) under an applied shear stress. Fluids are a subset of the phases of matter and include liquids, gases, plasmas and, to some extent, plastic solids.

09:49

A fluid is a substance that continually deforms (flows) under an applied shear stress. Fluids are a subset of the phases of matter and include liquids, gases and plasmas. Fluids display properties such as flow, pressure, and tension, which can be described with a fluid model. For example, liquids form a surface which exerts a force on other objects in contact with it, and is the basis for the forces of capillarity and cohesion. Fluids are a continuum (or "continuous" in some sense) which means that they cannot be strictly separated into separate pieces. However, there are theoretical limits to the divisibility of fluids. Fluids are in contrast to solids, which are able to sustain a shear stress with no tendency to continue deforming.

01:29

If cholesterol buildup re…

04:56

If cholesterol buildup red…

01:57

If cholesterol build-up re…

05:49

Clogged artery. Viscous bl…

02:19

Suppose an occlusion in an…

05:45

The diameter of a certain …

03:29

Viscous blood is flowing t…

01:58

An artery in a person has …

02:49

When physicians diagnose a…

04:20

03:34

01:39

Arterial blood flow. By wh…

02:10

What change in blood vesse…

01:04

Blood flows through an art…

so, essentially from prosperity A's equation. We know that cue. The volumetric flow rate is directly proportional to the radius to the fourth power. Therefore, decent two equals. We know the decent two equals 20.85 piece of one. So we then can say that arse of two equals 20.85 are someone, um, and so accused of two divided by cues of one would be equal to our sub two to the fourth about it by arse of one to the fourth on. This is gonna be equal 2.85 to the fourth power. So this legal 0.52 which means I accused of two equals 20.52 ofc use of one. Therefore, the volumetric flow rate volumetric flow rate is reduced by 48%. This is our final answer. That is the end of the solution. Thank you for watching

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