# How Do You Calculate Blood Flow and Power in the Circulatory System?

• abcphysics123
So if the volume flow rate through the aorta is Q(a)= 5.40 L/minand the average radius of the aorta is R(a) = 1.20×10−2m , what is the average speed of the blood through the aorta? In summary, the blood serves the function of transporting substances required by the body and waste products of metabolism. It is composed of various components and is treated as a uniform liquid with specific viscosity and density. The aorta is the primary blood vessel that carries blood away from the heart and its average radius, length, and volume flow rate are known. The blood circulates at a slow speed through capillaries and its average speed through the aorta can be
abcphysics123

## Homework Statement

The blood transports substances required by the body and the waste products of metabolism. The blood contains many different constituents including red blood cells, white blood cells, platelets and protein. However, for calculation purposes, it is sufficient to treat blood as a uniform liquid with viscosity = 2.95×10−3 Pa.s and density = 1050 kg/m^3 at normal body temperature. The aorta is the principal blood vessel through which blood leaves the heart in order to circulate around the body. The average radius of the aorta is R(a) = 1.20×10−2m , the average length is L(a)= 0.210m and the volume flow rate is Q(a)= 5.40 L/min The blood circulates very slowly at V(c) = 3.75×10−4 m/s through many small blood vessels called capillaries. The average radius of a capillary is R(c)= 4.00×10−6 .

a) Calculate the average speed of the blood though the aorta.
b) Calculate the average speed of the blood though the aorta.
c) Calculate the average power supplied in maintaining the blood flow through the artery.

*net force to drive blood through the aorta is (the pressure drop along the aorta)*(the area of the aorta).

## Homework Equations

h=2ycos(@)/pgr y= force tension p = density of liquid g=gravity =9.81 r = radius

y= F/l F=force l= length (i think)

P(i)-P(o) = 2y/r = 4y/r = y/r ( 3 different equations)

## The Attempt at a Solution

I have no clue which equation to use to find the a,b,c...

i don't even know how to begiin..

Hi abcphysics123!

(erm … what's the difference between a and b?! )
abcphysics123 said:
a) Calculate the average speed of the blood though the aorta.
b) Calculate the average speed of the blood though the aorta.
c) Calculate the average power supplied in maintaining the blood flow through the artery.

I have no clue which equation to use to find the a,b,c...

i don't even know how to begiin..

Be logical!

What is volume flow rate?

Volume flow rate = volume per second

= area times distance per second

= area times speed

## 1. What is a blood circulation problem?

A blood circulation problem, also known as a circulatory disorder, refers to any condition that affects the flow of blood throughout the body. This can include issues such as blockages, inflammation, or damage to blood vessels, which can lead to a variety of symptoms and potential health complications.

## 2. What causes blood circulation problems?

There are several factors that can contribute to blood circulation problems. These can include lifestyle habits such as smoking, poor diet, and lack of exercise, as well as underlying health conditions such as diabetes, high blood pressure, and heart disease. Genetics can also play a role in some cases.

## 3. What are the symptoms of a blood circulation problem?

The symptoms of a blood circulation problem can vary depending on the specific condition and its severity. However, common symptoms may include numbness or tingling in the extremities, cold hands or feet, swelling, pain or cramping in the legs, and fatigue. In more severe cases, it can also lead to tissue damage and organ dysfunction.

## 4. How is a blood circulation problem diagnosed?

A blood circulation problem may be diagnosed through a combination of physical exams, medical history, and diagnostic tests. These may include blood tests, imaging tests such as ultrasounds or MRIs, and specialized tests to measure blood flow and pressure in specific areas of the body.

## 5. Can blood circulation problems be treated?

Yes, in many cases, blood circulation problems can be treated through lifestyle changes, medication, and in severe cases, surgery. Quitting smoking, maintaining a healthy diet and exercise routine, and managing underlying health conditions can all help improve blood flow. Depending on the specific condition, medications may be prescribed to improve blood pressure or reduce inflammation. In some cases, surgery may be necessary to remove blockages or repair damaged blood vessels.

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