Question

In cold climates, water pipes may freeze and burst if proper precautions are not taken. In such an occurrence, the exposed part of a pipe on the ground ruptures, and water shoots up to 42 m. Estimate the gage pressure of water in the pipe. State your assumptions and discuss if the actual pres- sure is more or less than the value you predicted.

Answer 1

411.953 kpa

Step-by-step explanation:

We have the following assumptions

1. Steady incompressible flow.

2. Burst section water pressure = water main pressure

3. Air and water have negligible friction between them.

Max height = 42 m

Max water density = 277.14k

Density of water

Pwater = 999.8395kg/m

Water gets to 42m because of pressure in the line

P (line) = Pwater * g * h

= 999.8395 x 9.81 x 42

= 411.953Kpa