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What gauge pressure must a pump produce to pump water from the bottom of the Grand Canyon (elevation 730 $\mathrm{m} )$ to Indian Gardens (elevation 1370 $\mathrm{m} ) ?$ Express your result in pascals and in atmospheres.

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Physics 101 Mechanics

Chapter 13

Fluid Mechanics

Temperature and Heat

University of Washington

Hope College

University of Sheffield

University of Winnipeg

Lectures

03:45

In physics, a fluid is a substance that continually deforms (flows) under an applied shear stress. Fluids are a subset of the phases of matter and include liquids, gases, plasmas and, to some extent, plastic solids.

09:49

A fluid is a substance that continually deforms (flows) under an applied shear stress. Fluids are a subset of the phases of matter and include liquids, gases and plasmas. Fluids display properties such as flow, pressure, and tension, which can be described with a fluid model. For example, liquids form a surface which exerts a force on other objects in contact with it, and is the basis for the forces of capillarity and cohesion. Fluids are a continuum (or "continuous" in some sense) which means that they cannot be strictly separated into separate pieces. However, there are theoretical limits to the divisibility of fluids. Fluids are in contrast to solids, which are able to sustain a shear stress with no tendency to continue deforming.

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in this problem. We want to know how much gauge pressure is required to plump of water to a certain height. And the change in elevation that the at the water undergoes is on 13. 70 minus 7 37 30 is the starting hate of the water. And 13 70 is the height that we want. Teo, pump it up too. And so our pump must be able. Tio sustained the pressure associated with that water column. And the expression for the pressure is going to be equal to row. She each where Rowe is the density of the substance, G is the gravitational acceleration and a earth. Excuse me. H is the Heidi. So, um, we need to insert here the density of water which is tend to the three come kilograms per meter cubed. We need to multiply by 9.8 meters per second squared, which is the gravitational acceleration and lastly by the height difference. And so this will give us the pressure in Paschal's. And if we want to convert this to atmospheres to give the pressure and units of atmospheres, then we would divide by thiss conversion factor here

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