Question

The pressure drop along a length of artery is 100 Pa, the radius is 10 mm, and the flow is laminar. The average speed of the blood is 15 mm/s. (a) What is the net force on the blood in this section of artery

Answer 1

Explanation:

The given data is as follows.

   radius (r) = $10 mm = 10 \times 10^{-3} m$   (as 1 mm = $10^{-3}$)

      $\Delta P$ = 100 Pa,       F = ?

Therefore, formula to calculate force is as follows.

              F = $\Delta P \times A$       (as A = $\pi \times r^{2}$)

so,          F = $\Delta P \times \pi \times r^{2}$

                 = $100 Pa \times 3.14 \times (10^{-2})^{2}$

                 = $3.14 \times 10^{-2}$ N

Thus, we can conclude that net force on the blood in this section of artery is $3.14 \times 10^{-2}$ N.