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(I) A gardener feels it is taking too long to water a garden with$\mathrm{a} \frac{3}{8}$ -in.--diameter hose. By what factor will the time be cut using a$\frac{5}{8}$ -in.-diameter hose instead? Assume nothing else is changed.

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time has been cut by 87$\%$

Physics 101 Mechanics

Chapter 13

Fluids

Fluid Mechanics

University of Michigan - Ann Arbor

University of Sheffield

McMaster University

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.

A gardener feels it is tak…

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01:23

(I) A gardener feels it is…

04:18

03:35

A $\frac{5}{8}$-in. (insid…

02:16

(II) A $\frac{5}{8}$ -inch…

03:37

It takes a farmer $2.0 \ma…

01:38

Irrigating a field It take…

(II) $\mathrm{A} \frac{5}{…

04:28

A garden hose having an in…

01:10

A garden hose attached wit…

00:55

A fire hose nozzle has a d…

so from process liaise equation we get that Q over R to the fourth is gonna equal the volumetric flow rate of the over tee times one over R to the fourth. Um, this is gonna be constant. So the volumetric flow rate is constant is essentially what it's saying because according to prosper Ways, equation Q is directly proportional to the radius to the fourth power. So we know that Visa one equals visa to the total volume doesn't change, therefore, t someone are to the fourth with equal t's up to our our someone to the fourth are sent to to the fourth, and so teeth, too, would be equal to teeth of one. Times are someone divided by are some, too, to the fourth power. And so T's up to would be equal to teeth of one times 3/8 divided by 5/8 to the fourth power and this is equaling point 13 t someone so essentially time was cut by 87%. So this equals t's up to. So it should be our full answer here. That is the end of the solution. Thank you for watching

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