Question

An artery with a 3 cm radius carries blood away from the heart. In a constricted region that is partially blocked with plaque, the radius shrinks to 2 cm and the blood's velocity is 5 m/s. What is the bloods velocity in the 3 cm radius unconstricted region?

Answer 1

Answer:

2.32m/s

Explanation:

What is flow rate?

Flow rate is the volume of fluid per unit time flowing past a point through the area  

the formula is Q=Av

where A= area

         v= flow velocity

step one:

given data

radius r1= 3cm= 0.03m

radius r2=2cm= 0.02m

velocity v1=?

velocity v2=5m/s

The area A1

$Area= \pi r^2\\\\Area- A1= 3.142*0.03^2\\\\A1= 0.0028m^2$

The area A2

$Area= \pi r^2\\\\Area- A2= 3.142*0.02^2\\\\A1= 0.0013m^2$

Step two:

For the continuous flow

Q1=Q2

A1v1=A2v2

0.0028*v1=0.0013*5

v1=0.0065/0.0028

v1=2.32m/s

The bloods velocity in the 3 cm radius unconstricted region is 2.32m/s