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8 Apr 2020
Blood Flow. As blood moves through a vein or an artery, its velocity
is greatest along the central axis and decreases as the distance
from the central axis increases (see the figure).The formula that gives
as a function of
is called the law of laminar flow. For an artery with radius 0.5 cm, the relationship between
and
in cm is given by the function.
![](data:image/png;base64,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)
Find
and ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAOBAMAAAC1GaP7AAAACXBIWXMAAABkAAAAZAAPlsXdAAAAKlBMVEVHcEwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAHrpZrAAAADnRSTlMAiES7ETNVd8wioGbd+kFzRM8AAACuSURBVBjTY2AAAU4GGHCBMUoYGBQgUuwOEBE2BYZ0xQAgg4OBRQAixMzA0MByAMjYwcBQChEKZGAyYGgF6lMGsRncl3IVlDEwGjAYAQ1gBuvYsIhtgxBUKIUZZByDywGmACOIEGcARBW3ABuDEAMbyCxuQVkhkCpGAW+gEEsDwwG2AAZesCrWRQkgW7azJ3AJcAJVTQS6gJWBgQtovybUI6Vw18PBAoQfoYDRgQEApvUWqSGyWNUAAAAASUVORK5CYII=)
What do your answers to part (a) tell you about the flow of blood in this artery?
Make a table of values of
for ![](data:image/png;base64,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)
Find the net change in the velocity
as
changes from 0.1cm to 0.5cm.
![](data:image/png;base64,)
Blood Flow. As blood moves through a vein or an artery, its velocity is greatest along the central axis and decreases as the distance
from the central axis increases (see the figure).The formula that gives
as a function of
is called the law of laminar flow. For an artery with radius 0.5 cm, the relationship between
and
in cm is given by the function.
Find
and
What do your answers to part (a) tell you about the flow of blood in this artery?
Make a table of values of
for
Find the net change in the velocity
as
changes from 0.1cm to 0.5cm.
Keith LeannonLv2
22 May 2020