Continuity Equation: Solutions for Quiz Problems

Solutions for Quiz Problems on Continuity Equation.
Author | Bahodir Ahmedov | www.dr-ahmath.com
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Problem 1: Water flowing through a garden hose of diameter 2.74 cm fills a 25.0-liter bucket in 2.50 min. What is the volumetric flow rate?
Problem 2: Water flowing through a garden hose of diameter 2.6 cm fills a 20.0-liter bucket in 2 min. What is the speed of the water leaving the end of the hose?
Problem 3: Water flowing through a garden hose of diameter 2.6 cm fills a 20.0-liter bucket in 2 min. A nozzle is now attached to the end of the hose from the previous exercise. If the nozzle diameter is one-third the diameter of the hose, what is the speed of the water leaving the nozzle?
Problem 4: What is the average flow speed of blood in the aorta if its diameter is 2.4 cm and volumetric flow rate is 0.1 l/s?
Problem 5: What is the total cross section of the arteries if there are 160 of them and their average diameter is 0.4 cm?
Problem 6: If the total cross sectional area of the arteries is 20 cm2 and the average flow speed is 5 cm/s, what is the volumetric flow rate of blood?
Problem 7: How does the flow speed of the ideal fluid change if the cross section of the tube is doubled?
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For Problem #4: A = 1.44(10^-14), you forgot to multiply by pi