Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Question

Answered step-by-step

A shower head has 20 circular openings, each with radius 1.0 $\mathrm{mm} .$ The shower head is connected to a pipe with radius 0.80 $\mathrm{cm} .$ If the speed of water in the pipe is $3.0 \mathrm{m} / \mathrm{s},$ what is its speed as it exits the shower-head openings?

Video Answer

Solved by verified expert

This problem has been solved!

Try Numerade free for 7 days

Like

Report

Official textbook answer

Video by Nathan Silvano

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Physics 101 Mechanics

Chapter 13

Fluid Mechanics

Temperature and Heat

Cornell University

University of Washington

Hope College

University of Sheffield

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.

03:02

A shower head has 20 circu…

02:58

03:55

A shower head has 20 circ…

00:59

02:00

01:51

01:55

Water entering a house flo…

01:54

A garden hose of inner rad…

02:43

Water flowing through a 2.…

02:51

Water at $20^{\circ} \math…

05:14

A water line with an inter…

01:19

01:43

Water flows through a 2.5 …

Okay, So in this problem, we just need to apply the equation of continue with you, which say's that the initial speed ups issue bfv switch here. The initial speed times, the initial or sectional area. It's going to be equal the final, its speed times, the final cross sectional area. In this case, we have area that is circular. So let's see, we have that are area is going to be, uh, by times their radios square. Okay, so know that we have the equation of continuity. We can answer the problem. So if we want to calculate the exit speed so the final speed, we can say that the final speed is going to be cool. The initial speeds times the initial cross sectional area divided by the Final Course sectional area. But who is a I in F? So let's put in here. We know that the initial area is going to be let's see, all right, times 0.8, which is the first to Raiders Square in the final area. It's going to be ah, 20 by they're multiplies 0.1, it's square. We have to move supply by 20 because the shower the shower had has 20 circular openings, so we're not considered a one opening way. Are considering all the 20 openings. Therefore, we need to put 20. And here Okay, so now that we have all the information, we can finally calculate the exit speed. So decks it's It's going to be three on multiplies by zero point eight square, divided by 20 by they're multiply 0.1 square. Okay, so we can cross by in here and finishing the calculation we get there or finer speech. VF. That's it's a better V in here. The final speed. It's going to be Quote nine 0.6 meters first seconds, and that's the final answer. Thanks for watching.

View More Answers From This Book

Find Another Textbook