/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q.62 聽Water flowing out of a 16mm-di... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 14: Q.62 (page 386)

Water flowing out of a 16mm-diameter faucet fills a 20Lbottle in 10s. At what distance below the faucet has the water stream narrowed to10mm diameter?

Short Answer

Expert verified

The distance below stream the faucet water is 0.283m

Step by step solution

01

Step :1 Introduction 

Diameter of the faucet 1 is D1=16mm

Radius of the faucet is r1=8mm

=8脳10鈭�3m

Water flow at the speed of v1=1.0m/s2

Acceleration due to gravity is g=9.80m/s2

Diameter of the faucet when it is narrowed D2=10mm

Radius of the faucetisr2=5mm

=5脳10鈭�3m

Water flow after the faucet is narrowed v=?

From the equation, continuity is

A1v1=A2v2

蟺r12v1=蟺r22v2

Speed of the water in the narrowed faucet is

v2=v1r12r22

=(1.0m/s)8脳10鈭�3m25脳10鈭�3m2

=6425m/s

=2.56m/s

The pressure difference is the same in both of the faucets. Therefore, from Bernoulli's equation

蚁gh1+12蚁v12=蚁gh2+12蚁v22

02

Step :2 Substituution

蚁gh1鈭�h2=12蚁v22鈭�v12

gh1鈭�h2=12v22鈭�v12

h1鈭�h2=12脳9.8(2.56m/s)2鈭�(1.0m/s)2

=119.6(5.5536)

蚁g=0.283m

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

The tank shown in FIGURECP14.72is completely filled with a liquid of density 蚁. The right face is not permanently attached to the tank but, instead, is held against a rubber seal by the tension in a spring. To prevent leakage, the spring must both pull with sufficient strength and prevent a torque from pushing the bottom of the right face out.

a. What minimum spring tension is needed?

b. If the spring has the minimum tension, at what height dfrom the bottom must it be attached?

A sphere completely submerged in water is tethered to the bottom with a string. The tension in the string is one-third the weight of the sphere. What is the density of the sphere?

A 5.0-m-diameter solid aluminum sphere is launched into space. By how much does its diameter increase? Give your answer in mm.

a. What volume of water has the same mass as 8.0 m3 of ethyl alcohol?
b. If this volume of water is in a cubic tank, what is the pressure at the bottom?

What is the volume in mL of 55 g of a liquid with density 1100 kg/m3?
See all solutions

Recommended explanations on Physics Textbooks

Famous Physicists

Read Explanation

Nuclear Physics

Read Explanation

Translational Dynamics

Read Explanation

Electricity

Read Explanation

Conservation of Energy and Momentum

Read Explanation

Circular Motion and Gravitation

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.