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 a height z2, of 52 m. Estimate the gage pressure of water in the pipe. The gage pressure of water in the pipe is determined to be kPa..

Answer 1

Gauge Pressure = 408.3 KPa

Step-by-step explanation:

The pressure inside the pipe can be given in terms of the elevation, by the following formula:

P = ρgΔz

where,

P = Absolute Pressure = ?

ρ = Density of Water = 1000 kg/m³

g = acceleration due to gravity = 9.8 m/s²

Δz = elevation = 52 m

Therefore,

P = (1000 kg/m³)(9.8 m/s²)(52 m)

P = 509.6 KPa

Now, for gauge pressure:

Gauge Pressure = P - Atmospheric Pressure

Gauge Pressure = 509.6 KPa - 101.3 KPa

Gauge Pressure = 408.3 KPa