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Water flowing, circular pipe, diameter

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1. Water is flowing at 5m/s in a circular pipe. If the diameter of the pipe decreases to three-fifth its former value, what is the velocity of the water downstream? Answer in units of m/s.

2. Calculate the flow rate of blood (p = 1.52g/cm^3) in an aorta with a cross-sectional area of 1.95cm^2 if the flow speed is 18cm/s. Answer in units of g/s.

3. Assume: The aorta branches to form a large number of capillaries with a combined cross-sectional area of 2220cm^2. What is the flow speed of the capillaries? Answer in units of cm/s.

4. When a person inhales, air moves down the bronchus (windpipe) at 19.9cm/s. The average flow speed of the air doubles through a constriction in the bronchus. Use p = 1.29 kg/m^3. Assuming incompressible flow, determine the pressure drop in the constriction. Answer in units of Pa.

5. Assume: The fluid is incompressible and non-viscous. Shown below is a cross-section of vertical view of a pipe discharging a fluid into the atmosphere at its highest elevation. The pipe diameter increases and then remains constant. See attachment for rest of the question.

6. The relationship between the pressure P at position y and r is...

7. The relationship between the pressure P at position u and z is...

8. The relationship between the pressure P at position u and y is...

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Solution provides detailed answers with equations, regarding classical mechanics and velocity.

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