contestada

An artery is constricted at one location to 1/2 its normal cross-sectional area. How does the speed of blood past the constriction compare to the speed of blood flow in the rest of the artery? (Note: Assume ideal fluid flow.)

Respuesta :

Answer:

Speed of blood past the constriction becomes two times the speed of blood flow in the rest of the artery.

Explanation:

For an ideal fluid flow condition, the equation of continuity is applicable which means that the flow of any fluid at a given point of time at two different cross section remains same at constant density

Thus,

[tex]A_1V_1= A_2V_2[/tex]

[tex]A_1= A\\and\\A_2= \frac{A}{2}[/tex]

Substituting the given values in above equation, we get -

[tex]A*V_1= \frac{A}{2} * V_2\\V_1= \frac{V_2}{2} \\\\V_2 = 2V_1[/tex]

Thus, speed of blood past the constriction becomes two times the speed of blood flow in the rest of the artery.