Answer :
Answer:
(a) Net force on the blood is 0.0314 N
(b) Power expanded is [tex]4.41\times10^{-4}[/tex] W
Explanation:
Given that,
"Pressure drop" along a length of "artery" (P) is 100 Pa = [tex]100N/m^2[/tex]
The radius (r) is 10 mm = 0.01 m
"Velocity" of the blood is 15 mm/s = 0.015 m/s
(a) Calculation of Net force:
We know that,
Net force on the blood at the given section is equal to "pressure at the given section" times "area of the given section".
[tex]Net force=pressure\times area[/tex]
Area is [tex]\pi\times r^2[/tex]
Plug the given values in the above formula,
[tex]Net force=100\times \pi\times 0.01^2[/tex]
[tex]Net force=100\times \pi\times 1\times10^{-4}[/tex]
Net force = 0.0314 N
(b) Calculation of Power:
We know that,
[tex]Power= force\times velocity[/tex]
[tex]Power= 0.0314\times 0.015[/tex]
[tex]Power = 4.71\times10^{-4}[/tex] W