1.Water flowing through a 2 cm-diameter pipe can fill a 442 L bathtub in 9 min.

Question

1.Water flowing through a 2 cm-diameter pipe can fill a 442 L bathtub in 9 min. What is the speed of the water in the pipe? Ans should be in m/s

2. Alcohol flows smoothly through a horizontal pipe that tapers in cross-sectional area from A1 = 21 cm2 to A2= A1/4. The pressure difference ?p between the wide and the narrow sections of the pipe is 9.1 kPa. What is the volume flow rate ?V/?t of the alcohol? The density of the alcohol is ? = 736 kg/m3. Hint: Treat as an ideal fluid. You will need both the conservation of mass properties and the conservation of energy properties. Ans should be in m3/s

3. Water flows at 5 L/s through a horizontal pipe that narrows smoothly from 12 cm diameter to 6 cm diameter. A pressure gauge in the narrow section reads 47 kPa. What is the reading of a pressure gauge in the wide section? Express the result in the unit kPa

4. Water flowing out of a 16 mm-diameter faucet fills a 3-L bottle in 14 s. At what distance below the faucet has the water stream narrowed to 11 mm diameter?
Express the result in the unit m

5. What is the pressure gradient (the drop of pressure per length unit) in a blood vessel with a volume flow rate of ?V/?t = 52 cm3/s and an inner diameter of 8 mm. Hint: the viscosity coefficient of blood in the specific case we study is ?blood= 2.7 x 10-3 Ns/m2
Express the result in the unit Pa/m

6. What is the pressure gradient (the drop of pressure per length unit) in a blood vessel with a volume flow rate of ?V/?t = 52 cm3/s and an inner diameter of 8 mm. Hint: the viscosity coefficient of blood in the specific case we study is ?blood= 2.7 x 10-3 Ns/m2
Express the result in the unit Pa/m

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