Fluid Flow; Bernoulli's Equation

AI Thread Summary
The discussion revolves around calculating the average speed of blood flow in the major arteries using Bernoulli's equation and given data. The aorta's radius is approximately 1.2 cm, with blood flowing at about 40 cm/s, resulting in a volumetric flow rate of 181 cc/sec. Given the total cross-sectional area of the major arteries is 2.0 cm², the calculated velocity in these arteries is 90.5 cm/s. This speed seems unusually high for blood flow. The conversation emphasizes the need for clarity in applying the equations correctly to solve the problem.
Proleague
Messages
7
Reaction score
0

Homework Statement



Using the data of Example 10-11, calculate the average speed of blood flow in the major arteries of the body, which have a total cross-sectional area of about 2.0cm2

Homework Equations



well... Actually, I don't know how to solve this problem.
The Example 10-11 gives some of datas.

"The blood returns to the heart via the veins. The radius of the aorta is about 1.2cm, and the blood passing through it has a speed of about 40cm/s. A typical capillary has a radius of about 4 x 10-4cm, and blood flows through it at a speed of about 5 x 10-4 m/s.

The Attempt at a Solution



I do now know what should I use equation first, so would you explain detail to me to learn how to solve this problem easily. Please answer the questions!
 
Physics news on Phys.org
All that blood flows through the aorta, and the volumetric flow rate of this blood is the cross sectional area of the aorta times the flow velocity in the aorta: ##Q=\pi (1.2)^2(40)=181 cc/sec##. The total cross sectional area of the major arteries are 2 cm^2. So the velocity in these arteries is ##v=\frac{Q}{A}=181/2=90.5 cm/sec##

Sounds high.
 
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top