Question

A particular swimming pool has one inlet and one outlet pipe.

The diameter of the inlet pipe is 1 cm.

The diameter of the outlet pipe is 10 cm.

The average velocity of the flow in both inlet and outlet pipes is 0.1 m/s.

The pipes are very old and rusty, so e = 0.2 mm.

The dynamic viscosity is 1 x 10-3 N-s/m^2 The kinematic viscosity is 1 x 10-6 m^2/s

(A) What’s the head loss per meter of the inlet pipe?

(B) What’s the head loss per meter of the outlet pipe?

(C) What power (in watts) would be required to pump the water through the outlet pipe assuming no elevation change and that the pump is 70% efficient?

Note:

- Keep variables in your problem as long as possible.

- Clearly indicate the numbers that are plugged in for each variable.

- Answers may be left as fractions

- Use g = 10 m/s^2

-Be careful with the units (millimeters, centimeters, and meters)

Answer 1