102k views
2 votes
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.)

1 Answer

4 votes

Answer:

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

Step-by-step 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,


A_1V_1= A_2V_2


A_1= A\\and\\A_2= (A)/(2)

Substituting the given values in above equation, we get -


A*V_1= (A)/(2) * V_2\\V_1= (V_2)/(2) \\\\V_2 = 2V_1

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

User Zelter Ady
by
8.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.