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(III) A fire hose exerts a force on the person holding it. Thisis because the water accelerates as it goes from the hosethrough the nozzle. How much force is required to holda 7.0 -cm-diameter hose delivering 450 $\mathrm{L} / \mathrm{min}$ through a0.75 -cm-diameter nozzle?

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1300N

Physics 101 Mechanics

Chapter 13

Fluids

Fluid Mechanics

University of Michigan - Ann Arbor

Simon Fraser University

Hope College

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.

04:16

A fire hose exerts a force…

0:00

05:57

02:03

$\mathrm{A}$ fire nozzle i…

03:43

(a) What is the pressure d…

03:40

Fire hose A volunteer fire…

01:49

Water flows through a fire…

05:12

A fire nozzle is supplied …

02:22

$A$ volunteer firefighter …

07:45

What is the pressure drop …

we can say that the volumetric flow rate is equaling ace of one times V someone, and this is equaling a sub to visa To do to the equation of continuity. To find the force, the force is gonna be able to amass time to change in velocity divided by doubt the T this would be equal to mass times visa to my chest piece of one divided by Delta T Uh, and so we can say that the force is gonna be able to the density times velocity for time, the volumetric flow rate times visa to minus fees of one. Uh and so this is gonna be equal to ah ro times v over tea, us times a sub to visa to divide by ace, up to minus ace of one V's of one divided by a someone. And then we can say that if the force will be density times a volumetric floor, eight squared times one over ace up to minus one over ace of one. And this is going to equal the density times the over t squared and then times one over pi are so two squared minus one over pi r. Someone squared and so that would be the formula for the force. And then the question asked us to solve. So the force will be the density of water. 1000 kilograms per cubic meter times 450 liters per minute for everyone. Minute there are 60 seconds and then for every meter cubed there are 1000 leaders. So this will be squared. And then we're going to multiply this by one divided by pi of 1/2 times 0.75 meters quantity squared. And then this will be minus one over pi times one over two times point 07 meters. Quantity squared, and we find that the force is going to be equal to 1259 Newton's. So this would be our final answer. That is the end of the solution. Thank you for watching

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