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What gauge pressure is required in the city water mains for a stream from a fire hose connected to the mains to reach a vertical height of 15.0 m? (Assume that the mains have a much larger diameter than the fire hose.)

Short Answer

Expert verified

The required gauge pressure is 147000 Pa .

Step by step solution

01

Given data

The vertical height is, h = 15 m.

02

Definition of the gauge pressure

The gauge pressure is equivalent to the product of density of the material, gravitational acceleration and the vertical height.

03

Determination of the gauge pressure

The relation of gauge pressure can be written as:

p=ÒÏgh

Here,ÒÏ is the density of water and g is the gravitational acceleration.

Substitute 1000kg/m3forÒÏ ,9.80m/s2 for g and 15 m for h in the above relation.

role="math" localid="1668140661641" P=1000kg/m39.8m/s215m1Pa1kg/m.s2P=147000Pa

Thus, the gauge pressure is 147000 Pa .

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