On national fried butterstick day, Buttercup the dog eats too many fried butters

Question

On national fried butterstick day, Buttercup the dog eats too many fried buttersticks. One of the dog's arteries is completely clogged. You are working with the veterinarian to perform a bypass. Artery A flows into B and C. Calculate the diameter of vein C, as well as area, volumetric and mass flow rates for all 3 vessels.Do NOT assume that the mass flow rate from A is divided evenly between B & C. Assume density of blood is 1.056 g/cm^3

Round Answers to 2 decimal places. Do not include units in your answer boxes as they are given.

Area Artery A = ? cm^2

Volumetric Flow A = ? cm^3/s

Mass Flow Rate A = ? g/s

Area Artery B = ? cm^2

Volumetric Flow B = ? cm^3/s

Mass Flow Rate B = ? g/s

Area Artery C = ?

Volumetric Flow C = ? cm^3/s

Mass Flow Rate C = ? g/s

Diameter C = ?

Artery A Artery B Artery C Velocity 25.00 cm/s Velocity 30.00 cm/s Velocity 30.00 cm/s Diameter 0.30 cm Diameter 0.21 cm Diameter ??? cm Area ???    cm^2 Area ???    cm^2 Area ???    cm^2 Volumetric Flow ??? cm^3/s Volumetric Flow ??? cm^3/s Volumetric Flow ???    cm^3/s Mass Flow ??? g/s Mass Flow ???    g/s Mass Flow ???    g/s

Explanation / Answer

On national fried butterstick day, Buttercup the dog eats too many fried buttersticks. One of the dog's arteries is completely clogged. You are working with the veterinarian to perform a bypass. Artery A flows into B and C. Calculate the diameter of vein C, as well as area, volumetric and mass flow rates for all 3 vessels.Do NOT assume that the mass flow rate from A is divided evenly between B & C. Assume density of blood is 1.056 g/cm^3

Round Answers to 2 decimal places. Do not include units in your answer boxes as they are given.

Area Artery A = 800 cm^2

Volumetric Flow A = 200 cm^3/s

Mass Flow Rate A = 40g/s

Area Artery B = 800 cm^2

Volumetric Flow B = 45cm^3/s

Mass Flow Rate B = 50 g/s

Area Artery C = 500

Volumetric Flow C = 55 cm^3/s

Mass Flow Rate C = 60 g/s

Diameter C = ?

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