Question

A) What is the flow speed in the arterioles?

B) What is the pressure difference across a 1.0 cm length of arteriole?

(USE THE CHART BELOW TO ANSWER THESE QUESTIONS)

Use the data describing blood flow in the circulatory system from the table below, and assume a typical blood flow rate of 5.0 L per minute.

	Aorta	Arteries	Arterioles	Capillaries	Venules	Veins	Vena cava
Diameter (cm)	2	0.5	0.002	0.0009	0.003	0.5	3
Total area (cm2)	3	20	500	4000	3000	80	7

Answer 1

A. The flow speed in the arteriolea = 1.7 × 10^ 3 m/s .

B. Poiseuille's equation:

V= π × ∆p× r ⁴ × t / 8nL

V - volume of liquid = 5L

r - radius of the vessel = 0.001 cm

t - time

n - coefficient of viscosity

∆p -change of pressure = ?

L - length of vessel = 1cm

∆p = 8nL × V / π× r^{​​​​​​4} ×t

= 8n×1cm × 5 L / 3.14 × ( 0.001) ⁴ × t