contestada

A doctor finds a partial blockage in a blood vessel. The flow speed in the region of the partial blockage is 5100 mm/hour. In a nearby vessel that is clear, the area is 0.51 mm2 . The blood flow speed, in mm/hr, in the clear region is 1200 mm/hr. What is the cross-section area, in mm2 , available for blood flow near the blockage

Respuesta :

Answer:

[tex] 0.12 mm^{2}[/tex]

Explanation:

[tex]v_{1}[/tex] = flow speed in the region of the partial blockage = 5100 mm/h

[tex]v_{2}[/tex] = flow speed in the clear region of nearby vessel = 1200 mm/h

[tex]A_{2}[/tex] = Cross-sectional area for the clear region = 0.51 mm²

[tex]A_{1}[/tex] = Cross-sectional area for the region near the blockage

According to equation of continuity, Volume flow rate must remain same at all points. hence

[tex]A_{1} v_{1} = A_{2} v_{2} \\A_{1} (5100) = (0.51) (1200)\\ A_{1} (5100) = 612\\\\ A_{1} = \frac{612}{5100} \\\\ A_{1} = 0.12 mm^{2}[/tex]

Otras preguntas