Pressure and buoyancy in fluids

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "Pressure and buoyancy in fluids"

Transcription

1 Pressure and buoyancy in fluids FCQ s for lecture and tutorials will be next week. Buoyancy force today Fluid dynamics on Monday (alon with the loudest demonstration of the semester). Review on Wednesday and Friday next week. Final exam at 7:30am on Tuesday, May 5.

2 Pressure in a liquid A Consider the bottom of a column of water with depth d and cross sectional area A inside a container open to the atmosphere. Atmospheric pressure pushes down with force of A. m pa A d pa The weiht of the column pushes down with force m. For a liquid with density ρ, m=ρv=ρad. Because the liquid is in static equilibrium, the upward force from pressure, pa, must equal the downward forces pa = A + ρad so p = + ρd (hydrostatic pressure) When you descend in a liquid, the weiht of the liquid above you causes the pressure to increase. 2

3 Clicker question 1 Set frequency to BA Three vessels are full of the same liquid and open to the same atmosphere. The pressure is measured in each at a distance of 3 m below the surface. What can we say about the pressures? A. only two are the same B. all three are different C. all three are the same 3 m The hydrostatic pressure is p = + ρd It only depends on the pressure on top and the amount of water in a column directly overhead so it is the same for all 3. 3

4 In the problem, the liquids had the same heiht because they were filled that way. Pressure in a liquid If they were all connected (as shown), the liquid levels would have to be the same. A B Why? Well, assume the first container had a hiher level. Then, since p = + ρd, pressure at A would be reater than at B. Assume a radual decrease from A to B. Then at any point between them, pressure from the left is reater than from the riht resultin in a net force to the riht (not equilibrium). Therefore, fluid will flow to the riht until equilibrium is reached. 4

5 Some rules for pressure Anywhere in a connected, static, uniform density fluid, the pressure at a iven heiht is the same. Pascal s law: A pressure chane at one point in an incompressible fluid appears undiminished at all points in the fluid. A force F is applied to a piston of area A, increasin the pressure by F/A. F p = + F A d d 2 1 p = = + p F 0 A + ρd 1 p = + ρd 2 5

6 Clicker question 2 Set frequency to BA Uma Thurman (mass of 60 k) is standin on a piston, connected as shown to another piston on which a 6000 k stretch Hummer is restin. How much bier in area is the piston under the Hummer compared to the one under Uma? Try writin down two expressions for the pressure at the dotted line. A. same B. 10 times C. 100 times D times E times On the left side we have p L = + F L A L F L = m U Riht side: F R = m H p R = + F R A R Both pressures at same heiht so must be the same. Settin equal: + F L = + F R F L A R = F R A L A R = F R so so A L =100 A L A L A R F L

7 Buoyancy Take a volume of water with density ρ f and area A extendin from a depth of d 2 to d 1. Summin the forces of the free body diaram ives F y m f A + ρ f Ad 1 d 2 A + ρ f Ad 2 = A + ρ f Ad 1 A ρ f Ad 2 m f = ρ f A(d 1 d 2 ) m f = 0 d 1 A pa If we replace the fluid with an object, the only difference is mass. F y = ρ f A(d 1 d 2 ) m o = 0 Note that A(d 1 -d 2 ) is the volume V f of fluid displaced Upward force ρ f A(d 1 d 2 ) = ρ f V f equals the weiht of displaced fluid

8 Archimedes principle A body partially or fully immersed in a fluid feels an upward force equal to the weiht of the displaced fluid. This force is called the buoyant force: = ρ f V f As shown, it is due to the increase of pressure with depth in a fluid. If the object is fully immersed then the volume of the displaced fluid is equal to the volume of the object: V f = V o Note that volume is related to mass and density: m o = ρ o V o If an object is only partially submered, the volume of the displaced fluid is less than the volume of the object: V f < V o

9 Buoyancy example A 2 cm by 2 cm by 2 cm cube of iron (ρ=8 /cm 3 ) is weihed with the iron outside, half in and fully in the water, as shown in the diaram. What is the measured weiht in each case? Iron mass: m o = ρ o V o = 8 /cm 3 8 cm 3 = 64 = k Out of the water: T T m o = 0 so m o T = m o = k 10 m/s 2 = 0.64 N In the water: ½ in the water: T m o +T m o = 0 so T = m o = ρf Vf = 1/cm 8cm 10m/s = 0.08N so T = m o = 0.64 N 0.08 N = 0.56 N T m o +T m o = 0 so T = m o = ρ f V f =1 /cm 3 4 cm 3 10 m/s 2 = 0.04 N so T = m o = 0.64 N 0.04 N = 0.60 N

10 Archimedes crown Archimedes lived from 287 BC to 212 BC. Kin Hiero II ave a oldsmith old to make a crown. When the crown was made, it was found to weih the same as the old iven but the kin suspected that silver had been mixed in so he asked Archimedes to find out (without damain the crown). One day while ettin into his tub, Archimedes noticed water was displaced in an amount equal to his volume and fiure out a way to determine the density of the crown. He ran naked throuh the streets of Syracuse shoutin Eureka, Greek for I found it. What had he found? Balance the weiht of the crown with pure old in air. Submere both in water. If the crown is less dense than the old, it must have a larer volume (in order to have the same weiht). In that case, the crown will displace more water than the old, leadin to a larer buoyant force on the crown, and a smaller apparent weiht.

11 Clicker question 3 Set frequency to BA An ice cube is floatin in a lass of water. As the ice cube melts, the level of the water A. rises. B. falls. The buoyant force is always C. stays the same. equal to the weiht of the liquid displaced by the object. Since the ice cube is in equilibrium, the weiht of water displaced is equal to the weiht of the ice cube. When the ice cube melts it becomes water with the same weiht as the ice cube so real water takes the place of the displaced water.

Fluids, Pressure and buoyancy

Fluids, Pressure and buoyancy Fluids, Pressure and buoyancy Announcements: CAPA due Friday at 10pm. Comment on the hint in Problem 5. CAPA solutions from previous sets can be found by logging onto CAPA and selecting View Previous Set

More information

Phys101 Lectures Fluids I. Key points: Pressure and Pascal s Principle Buoyancy and Archimedes Principle. Ref: 10-1,2,3,4,5,6,7.

Phys101 Lectures Fluids I. Key points: Pressure and Pascal s Principle Buoyancy and Archimedes Principle. Ref: 10-1,2,3,4,5,6,7. Phys101 Lectures 24-25 luids I Key points: Pressure and Pascal s Principle Buoyancy and Archimedes Principle Ref: 10-1,2,3,4,5,6,7. Page 1 10-1 Phases of Matter The three common phases of matter are solid,

More information

ρ B ρ A Physics: Principles and Applications, 6e Giancoli Chapter 10 Fluids = m B V B m A = m A V A = ρ A = ρ B m B Answer B = 4 3

ρ B ρ A Physics: Principles and Applications, 6e Giancoli Chapter 10 Fluids = m B V B m A = m A V A = ρ A = ρ B m B Answer B = 4 3 Physics: Principles and Applications, 6e Giancoli Chapter 10 Fluids Conceptual Questions 1) The three common phases of matter are A) solid, liquid, and as. B) solid, liquid, and vapor. C) solid, plasma,

More information

Chapter 13 Fluids. Copyright 2009 Pearson Education, Inc.

Chapter 13 Fluids. Copyright 2009 Pearson Education, Inc. Chapter 13 Fluids Phases of Matter Density and Specific Gravity Pressure in Fluids Atmospheric Pressure and Gauge Pressure Pascal s Principle Units of Chapter 13 Measurement of Pressure; Gauges and the

More information

Chapter 14 Fluids Mass Density Pressure Pressure in a Static Fluid Pascal's Principle Archimedes' Principle

Chapter 14 Fluids Mass Density Pressure Pressure in a Static Fluid Pascal's Principle Archimedes' Principle Chapter 14 Fluids Mass Density Pressure Pressure in a Static Fluid Pascal's Principle Archimedes' Principle Fluids in Motion The Equation of Continuity DEFINITION OF MASS DENSITY The mass density ρ is

More information

FLUID STATICS II: BUOYANCY 1

FLUID STATICS II: BUOYANCY 1 FLUID STATICS II: BUOYANCY 1 Learning Goals After completing this studio, you should be able to Determine the forces acting on an object immersed in a fluid and their origin, based on the physical properties

More information

PHYS 101 Previous Exam Problems

PHYS 101 Previous Exam Problems PHYS 101 Previous Exam Problems CHAPTER 14 Fluids Fluids at rest pressure vs. depth Pascal s principle Archimedes s principle Buoynat forces Fluids in motion: Continuity & Bernoulli equations 1. How deep

More information

In the liquid phase, molecules can flow freely from position to position by sliding over one another. A liquid takes the shape of its container.

In the liquid phase, molecules can flow freely from position to position by sliding over one another. A liquid takes the shape of its container. In the liquid phase, molecules can flow freely from position to position by sliding over one another. A liquid takes the shape of its container. In the liquid phase, molecules can flow freely from position

More information

Chapter 14. Fluids. A fluid a substance that can flow (in contrast to a solid)

Chapter 14. Fluids. A fluid a substance that can flow (in contrast to a solid) Chapter 4 luids A luid a substance that can low (in contrast to a solid) Air Water luids comort to the boundaries o any container in which we put them, and do not maintain a ixed shape density and pressure

More information

In the liquid phase, molecules can flow freely from position. another. A liquid takes the shape of its container. 19.

In the liquid phase, molecules can flow freely from position. another. A liquid takes the shape of its container. 19. In the liquid phase, molecules can flow freely from position to position by sliding over one another. A liquid takes the shape of its container. In the liquid phase, molecules can flow freely from position

More information

Physics 221, March 1. Key Concepts: Density and pressure Buoyancy Pumps and siphons Surface tension

Physics 221, March 1. Key Concepts: Density and pressure Buoyancy Pumps and siphons Surface tension Physics 221, March 1 Key Concepts: Density and pressure Buoyancy Pumps and siphons Surface tension Fluids: Liquids Incompressible Gases Compressible Definitions Particle density: Density: Pressure: ρ particle

More information

Lecture Outline Chapter 15. Physics, 4 th Edition James S. Walker. Copyright 2010 Pearson Education, Inc.

Lecture Outline Chapter 15. Physics, 4 th Edition James S. Walker. Copyright 2010 Pearson Education, Inc. Lecture Outline Chapter 15 Physics, 4 th Edition James S. Walker Chapter 15 Fluids Density Units of Chapter 15 Pressure Static Equilibrium in Fluids: Pressure and Depth Archimedes Principle and Buoyancy

More information

More About Solids, Liquids and Gases ASSIGNMENT

More About Solids, Liquids and Gases ASSIGNMENT More About Solids, Liquids and Gases ASSIGNMENT 1. Fill in the blank spaces by choosing the correct words from the list given below: List : water, density, altitudes, lateral, intermolecular, force, cohesion,

More information

Chapter 15 Fluid. Density

Chapter 15 Fluid. Density Density Chapter 15 Fluid Pressure Static Equilibrium in Fluids: Pressure and Depth Archimedes Principle and Buoyancy Applications of Archimedes Principle By Dr. Weining man 1 Units of Chapter 15 Fluid

More information

Additional Information

Additional Information Buoyancy Additional Information Any object, fully or partially immersed in a fluid, is buoyed up by a force equal to the weight of the fluid displaced by the object. Archimedes of Syracuse Archimedes principle

More information

Density and Buoyancy Notes

Density and Buoyancy Notes Density and Buoyancy Notes Measuring Mass and Volume 3.1 Density A balance can be used to measure the mass of an object. If the object is a liquid, pour it into a graduated cylinder to measure the volume.

More information

1. All fluids are: A. gases B. liquids C. gases or liquids D. non-metallic E. transparent ans: C

1. All fluids are: A. gases B. liquids C. gases or liquids D. non-metallic E. transparent ans: C Chapter 14: FLUIDS 1 All fluids are: A gases B liquids C gases or liquids D non-metallic E transparent 2 Gases may be distinguished from other forms of matter by their: A lack of color B small atomic weights

More information

Fluid Mechanics - Hydrostatics. AP Physics B

Fluid Mechanics - Hydrostatics. AP Physics B luid Mechanics - Hydrostatics AP Physics B States of Matter Before we begin to understand the nature of a luid we must understand the nature of all the states of matter: The 3 primary states of matter

More information

Chapter 10 Fluids. Which has a greater density? Ch 10: Problem 5. Ch 10: Problem Phases of Matter Density and Specific Gravity

Chapter 10 Fluids. Which has a greater density? Ch 10: Problem 5. Ch 10: Problem Phases of Matter Density and Specific Gravity Chapter 10 Fluids 10-1 Phases of Matter The three common phases of matter are solid, liquid, and gas. A solid has a definite shape and size. A liquid has a fixed volume but can be any shape. A gas can

More information

Chapter 9 Fluids CHAPTER CONTENTS

Chapter 9 Fluids CHAPTER CONTENTS Flowing fluids, such as the water flowing in the photograph at Coors Falls in Colorado, can make interesting patterns In this chapter, we will investigate the basic physics behind such flow Photo credit:

More information

Page 1

Page 1 Contents: 1. Thrust and Pressure 2. Pressure in Fluids 3. Buoyancy 4. Why objects sink or Float when placed on surface of water? 5. Archimedes Principle 6. Relative Density Learning Objectives: The students

More information

3. A fluid is forced through a pipe of changing cross section as shown. In which section would the pressure of the fluid be a minimum?

3. A fluid is forced through a pipe of changing cross section as shown. In which section would the pressure of the fluid be a minimum? AP Physics Multiple Choice Practice Fluid Mechanics 1. A cork has weight mg and density 5% of water s density. A string is tied around the cork and attached to the bottom of a water-filled container. The

More information

Chapter 15 Fluids. Copyright 2010 Pearson Education, Inc.

Chapter 15 Fluids. Copyright 2010 Pearson Education, Inc. Chapter 15 Fluids Density Units of Chapter 15 Pressure Static Equilibrium in Fluids: Pressure and Depth Archimedes Principle and Buoyancy Applications of Archimedes Principle Fluid Flow and Continuity

More information

DENSITY AND BUOYANCY

DENSITY AND BUOYANCY DENSITY AND BUOYANCY DENSITY - RECAP What is DENSITY? The amount of MASS contained in a given VOLUME Density describes how closely packed together the particles are in a substance Density Experiment SINK

More information

Fluid Mechanics. Liquids and gases have the ability to flow They are called fluids There are a variety of LAWS that fluids obey

Fluid Mechanics. Liquids and gases have the ability to flow They are called fluids There are a variety of LAWS that fluids obey Fluid Mechanics Fluid Mechanics Liquids and gases have the ability to flow They are called fluids There are a variety of LAWS that fluids obey Density Regardless of form (solid, liquid, gas) we can define

More information

LECTURE 16: Buoyancy. Select LEARNING OBJECTIVES:

LECTURE 16: Buoyancy. Select LEARNING OBJECTIVES: Lectures Page 1 Select LEARNING OBJECTIVES: LECTURE 16: Buoyancy Understand that the buoyant force is a result of a pressure gradient within a fluid. Demonstrate the ability to analyze a scenario involving

More information

Old-Exam.Questions-Ch-14 T072 T071

Old-Exam.Questions-Ch-14 T072 T071 Old-Exam.Questions-Ch-14 T072 Q23. Water is pumped out of a swimming pool at a speed of 5.0 m/s through a uniform hose of radius 1.0 cm. Find the mass of water pumped out of the pool in one minute. (Density

More information

Pressure is defined as force per unit area. Any fluid can exert a force

Pressure is defined as force per unit area. Any fluid can exert a force Physics Notes Chapter 9 Fluid Mechanics Fluids Fluids are materials that flow, which include both liquids and gases. Liquids have a definite volume but gases do not. In our analysis of fluids it is necessary

More information

2 Buoyant Force. TAKE A LOOK 2. Identify What produces buoyant force?

2 Buoyant Force. TAKE A LOOK 2. Identify What produces buoyant force? CHAPTER 3 2 Buoyant Force SECTION Forces in Fluids BEFORE YOU READ After you read this section, you should be able to answer these questions: What is buoyant force? What makes objects sink or float? How

More information

PRESSURE. 7. Fluids 2

PRESSURE. 7. Fluids 2 DENSITY Fluids can flow, change shape, split into smaller portions and combine into a larger system One of the best ways to quantify a fluid is in terms of its density The density, ρ, of a material (or

More information

. In an elevator accelerating upward (A) both the elevator accelerating upward (B) the first is equations are valid

. In an elevator accelerating upward (A) both the elevator accelerating upward (B) the first is equations are valid IIT JEE Achiever 2014 Ist Year Physics-2: Worksheet-1 Date: 2014-06-26 Hydrostatics 1. A liquid can easily change its shape but a solid cannot because (A) the density of a liquid is smaller than that of

More information

AP Lab 11.3 Archimedes Principle

AP Lab 11.3 Archimedes Principle ame School Date AP Lab 11.3 Archimedes Principle Explore the Apparatus We ll use the Buoyancy Apparatus in this lab activity. Before starting this activity check to see if there is an introductory video

More information

10.4 Buoyancy is a force

10.4 Buoyancy is a force Chapter 10.4 Learning Goals Define buoyancy. Explain the relationship between density and buoyancy. Discuss applications of Archimedes principle. 10.4 Buoyancy is a force Buoyancy is a measure of the upward

More information

Chapter 13 Fluids. Copyright 2009 Pearson Education, Inc.

Chapter 13 Fluids. Copyright 2009 Pearson Education, Inc. Chapter 13 Fluids Phases of Matter Density and Specific Gravity Pressure in Fluids Atmospheric Pressure and Gauge Pressure Pascal s Principle Units of Chapter 13 Measurement of Pressure; Gauges and the

More information

Chapter 9. Forces and Fluids

Chapter 9. Forces and Fluids Chapter 9 Forces and Fluids Key Terms hydraulic systems incompressible mass neutral buoyancy pascal pneumatic systems pressure unbalanced forces weight Archimedes principle average density balanced forces

More information

Fluids: Floating & Flying. Student Leaning Objectives 2/16/2016. Distinguish between force and pressure. Recall factors that allow floating

Fluids: Floating & Flying. Student Leaning Objectives 2/16/2016. Distinguish between force and pressure. Recall factors that allow floating Fluids: Floating & Flying (Chapter 3) Student Leaning Objectives Distinguish between force and pressure Recall factors that allow floating Differentiate between cohesion and adhesion Analyze Pascal s principle

More information

ARCHIMEDES PRINCIPLE AND THE COMPUTATION OF BUOYANT FORCES. Alexis Rodriguez-Carlson

ARCHIMEDES PRINCIPLE AND THE COMPUTATION OF BUOYANT FORCES. Alexis Rodriguez-Carlson ARCHIMEDES PRINCIPLE AND THE COMPUTATION OF BUOYANT FORCES Alexis Rodriguez-Carlson September 20, 2006 Purpose: The purpose of this experiment is to show that the buoyant force acting on an object submerged

More information

A microscopic view. Solid rigid body. Liquid. Fluid. Incompressible. Gas. Fluid. compressible

A microscopic view. Solid rigid body. Liquid. Fluid. Incompressible. Gas. Fluid. compressible Hello! I m Chris Blake, your lecturer for the rest of semester We ll cover: fluid motion, thermal physics, electricity, revision MASH centre in AMDC 503-09.30-16.30 daily My consultation hours: Tues 10.30-12.30

More information

Key Terms Chapter 7. boiling boiling point change of state concentration condensation deposition evaporation flow rate fluid freezing point

Key Terms Chapter 7. boiling boiling point change of state concentration condensation deposition evaporation flow rate fluid freezing point Foldable Activity Using the instructions on page 267 in your textbook on how to make foldables, write a key term on each front tab, and the definition on the inside (see example that I made up). You will

More information

Matter is made up of particles which are in continual random motion Misconception: Only when a substance is in its liquid or gas state do its

Matter is made up of particles which are in continual random motion Misconception: Only when a substance is in its liquid or gas state do its Kinetic Theory of Matter Matter is made up of particles which are in continual random motion Misconception: Only when a substance is in its liquid or gas state do its particles move because in these two

More information

1. The principle of fluid pressure that is used in hydraulic brakes or lifts is that:

1. The principle of fluid pressure that is used in hydraulic brakes or lifts is that: University Physics (Prof. David Flory) Chapt_15 Thursday, November 15, 2007 Page 1 Name: Date: 1. The principle of fluid pressure that is used in hydraulic brakes or lifts is that: A) pressure is the same

More information

Slide 5 / What is the difference between the pressure on the bottom of a pool and the pressure on the water surface? A ρgh B ρg/h C ρ/gh D gh/ρ

Slide 5 / What is the difference between the pressure on the bottom of a pool and the pressure on the water surface? A ρgh B ρg/h C ρ/gh D gh/ρ Slide 1 / 47 1 Two substances mercury with a density 13600 kg/m3 and alcohol with a density 800 kg/m3 are selected for an experiment. If the experiment requires equal masses of each liquid, what is the

More information

Density, Pressure Learning Outcomes

Density, Pressure Learning Outcomes 1 Density, Pressure Learning Outcomes Define density and pressure, and give their units. Solve problems about density and pressure. Discuss pressure in liquids and gases. State Boyle s Law. Demonstrate

More information

BUOYANCY, FLOATATION AND STABILITY

BUOYANCY, FLOATATION AND STABILITY BUOYANCY, FLOATATION AND STABILITY Archimedes Principle When a stationary body is completely submerged in a fluid, or floating so that it is only partially submerged, the resultant fluid force acting on

More information

Card 1 Chapter 17. Card 2. Chapter 17

Card 1 Chapter 17. Card 2. Chapter 17 Card 1 Card 2 Liquid A - 1.4 g/ml; Liquid B -.82 g/ml; Liquid C - 1.0 g/ml; one liquid you know. What is it? Also how will they stack? Where will a 1.6 g/ml object end up? Find the density of a 5 milliliter,

More information

Liquids and Gases. O, 1 L = 2.2 lbs H 2. O = 1 kg H 2

Liquids and Gases. O, 1 L = 2.2 lbs H 2. O = 1 kg H 2 Liquids and Gases The unit of volume is the meter cubed, m 3, which is a very large volume. Very often we use cm 3 = cc, or Litres = 10 3 cc Other everyday units are gallons, quarts, pints 1 qt = 2 lbs

More information

AP B Fluids Practice Problems. Multiple Choice. Slide 2 / 43. Slide 1 / 43. Slide 4 / 43. Slide 3 / 43. Slide 6 / 43. Slide 5 / 43

AP B Fluids Practice Problems. Multiple Choice. Slide 2 / 43. Slide 1 / 43. Slide 4 / 43. Slide 3 / 43. Slide 6 / 43. Slide 5 / 43 Slide 1 / 43 Slide 2 / 43 P Fluids Practice Problems Multiple hoice Slide 3 / 43 1 Two substances mercury with a density 13600 kg/m 3 and alcohol with a density 0.8 kg/m 3 are selected for an experiment.

More information

2.1 MEASURING ATMOSPHERIC PRESSURE

2.1 MEASURING ATMOSPHERIC PRESSURE 12 CAPTER 2. ATMOSPERIC PRESSURE 2.1 MEASURING ATMOSPERIC PRESSURE The atmospheric pressure is the weiht exerted by the overhead atmosphere on a unit area of surface. It can be measured with a mercury

More information

Archimedes' Principle

Archimedes' Principle Connexions module: m42196 1 Archimedes' Principle OpenStax College This work is produced by The Connexions Project and licensed under the Creative Commons Attribution License Abstract Dene buoyant force.

More information

ConcepTest PowerPoints

ConcepTest PowerPoints ConcepTest PowerPoints Chapter 10 Physics: Principles with Applications, 6 th edition Giancoli 2005 Pearson Prentice Hall This work is protected by United States copyright laws and is provided solely for

More information

Archimedes' Principle

Archimedes' Principle OpenStax-CNX module: m55215 1 Archimedes' Principle OpenStax This work is produced by OpenStax-CNX and licensed under the Creative Commons Attribution License 4.0 1 Learning Objectives By the end of this

More information

Today: Finish Chapter 13 (Liquids) Start Chapter 14 (Gases and Plasmas)

Today: Finish Chapter 13 (Liquids) Start Chapter 14 (Gases and Plasmas) Today: Finish Chapter 13 (Liquids) Start Chapter 14 (Gases and Plasmas) Gases and plasmas: Preliminaries Will now apply concepts of fluid pressure, buoyancy, flotation of Ch.13, to the atmosphere. Main

More information

Chapter 3 PRESSURE AND FLUID STATICS

Chapter 3 PRESSURE AND FLUID STATICS Fluid Mechanics: Fundamentals and Applications, 2nd Edition Yunus A. Cengel, John M. Cimbala McGraw-Hill, 2010 Chapter 3 PRESSURE AND FLUID STATICS Lecture slides by Hasan Hacışevki Copyright The McGraw-Hill

More information

12 fa. eel), Ara, Fl eat Mobi eu) r V14,:srholki CV -65 P- 1 1). e2r 46. ve, lactogin. 1 V eil - ( - t Teo. c 1 4 d 4. .'=- tit/ (4 nit) 6 --)

12 fa. eel), Ara, Fl eat Mobi eu) r V14,:srholki CV -65 P- 1 1). e2r 46. ve, lactogin. 1 V eil - ( - t Teo. c 1 4 d 4. .'=- tit/ (4 nit) 6 --) 1). e2r 46 h eel), /pea lactogin Yd / In 1 V eil - ( - Cw ve, P- 1 Ara, Fl eat Mobi eu) r V14,:srholki 5e 0 (44,4 ci4) CV -65 So 0 t Teo.'=- tit/ (4 nit) 6 --) ci Seco (df_ 1 c 1 4 d 4 5-40 C 12 fa 4)

More information

PHSC 3033: Meteorology Stability

PHSC 3033: Meteorology Stability PHSC 3033: Meteorology Stability Equilibrium and Stability Equilibrium s 2 States: Stable Unstable Perturbed from its initial state, an object can either tend to return to equilibrium (A. stable) or deviate

More information

MASSACHUSETTS INSTITUTE OF TECHNOLOGY DEPARTMENT OF MECHANICAL ENGINEERING 2.06 Fluid Dynamics

MASSACHUSETTS INSTITUTE OF TECHNOLOGY DEPARTMENT OF MECHANICAL ENGINEERING 2.06 Fluid Dynamics MASSACHUSETTS INSTITUTE OF TECHNOLOGY DEPARTMENT OF MECHANICAL ENGINEERING 2.06 Fluid Dynamics Practice Problems for Quiz 1, Spring Term 2013 Problem 1: Membrane Testing Membranes are thin, film-like porous

More information

Application of Numerical Methods in Calculating the Depth of Submerged Ball in a RO Water System

Application of Numerical Methods in Calculating the Depth of Submerged Ball in a RO Water System Research Article IJCRR Section: General Science Sci. Journal Impact Factor 4.016 ICV: 71.54 Application of Numerical Methods in Calculating the Depth of Submerged Ball in a RO Water System T. N. Kavitha

More information

Lesson 12: Fluid statics, Continuity equation (Sections ) Chapter 9 Fluids

Lesson 12: Fluid statics, Continuity equation (Sections ) Chapter 9 Fluids Lesson : luid statics, Continuity equation (Sections 9.-9.7) Chapter 9 luids States of Matter - Solid, liquid, gas. luids (liquids and gases) do not hold their shapes. In many cases we can think of liquids

More information

PHYS 1020 LAB 8: Buoyancy and Archimedes Principle. Pre-Lab

PHYS 1020 LAB 8: Buoyancy and Archimedes Principle. Pre-Lab PHYS 1020 LAB 8: Buoyancy and Archimedes Principle Note: Print and complete the separate pre-lab assignment BEFORE the lab. Hand it in at the start of the lab. Pre-Lab While at home, put one ice cube (made

More information

Hydrostatics Physics Lab XI

Hydrostatics Physics Lab XI Hydrostatics Physics Lab XI Objective Students will discover the basic principles of buoyancy in a fluid. Students will also quantitatively demonstrate the variance of pressure with immersion depth in

More information

To connect the words of Archimedes Principle to the actual behavior of submerged objects.

To connect the words of Archimedes Principle to the actual behavior of submerged objects. Archimedes Principle PURPOSE To connect the words of Archimedes Principle to the actual behavior of submerged objects. To examine the cause of buoyancy; that is, the variation of pressure with depth in

More information

UNIQUE SCIENCE ACADEMY

UNIQUE SCIENCE ACADEMY 1 (a) UNIQUE SIENE EMY Test (Unit 7) Name :... Paper: Physics ate : 04.07.2011 ode: 5054 lass: I Time llowed: 35Minutes Maximum Marks: 25 1 Theory Section: What do you understand by the term pressure.

More information

Boy, Oh Buoyancy. Does it Float? Does it Sink?

Boy, Oh Buoyancy. Does it Float? Does it Sink? Boy, Oh Buoyancy Does it Float? Does it Sink? What is density? A measure of how much material is packed into a unit volume of the material The fewer particles packed into a given volume, the less dense

More information

Unit Activity Answer Sheet

Unit Activity Answer Sheet Geoetry Unit Activity Answer Sheet Unit: Extending to Three Diensions This Unit Activity will help you eet these educational goals: Matheatical Practices You will use atheatics to odel real-world situations.

More information

Chapter 3: Atmospheric pressure and temperature

Chapter 3: Atmospheric pressure and temperature Chapter 3: Atmospheric pressure and temperature 3.1 Distribution of pressure with altitude The barometric law Atmospheric pressure declines with altitude, a fact familiar to everyone who has flown in an

More information

3. Moments and Pressure

3. Moments and Pressure Leaving Cert Physics Long Questions 2017-2002 3. Moments and Pressure Remember to photocopy 4 pages onto 1 sheet by going A3 A4 and using back to back on the photocopier Contents Moments: ordinary level

More information

FC-CIV HIDRCANA: Channel Hydraulics Flow Mechanics Review Fluid Statics

FC-CIV HIDRCANA: Channel Hydraulics Flow Mechanics Review Fluid Statics FC-CIV HIDRCANA: Channel Hydraulics Flow Mechanics Review Fluid Statics Civil Engineering Program, San Ignacio de Loyola University Objective Calculate the forces exerted by a fluid at rest on plane or

More information

EXPERIMENT (2) BUOYANCY & FLOTATION (METACENTRIC HEIGHT)

EXPERIMENT (2) BUOYANCY & FLOTATION (METACENTRIC HEIGHT) EXPERIMENT (2) BUOYANCY & FLOTATION (METACENTRIC HEIGHT) 1 By: Eng. Motasem M. Abushaban. Eng. Fedaa M. Fayyad. ARCHIMEDES PRINCIPLE Archimedes Principle states that the buoyant force has a magnitude equal

More information

Atmospheric Pressure. Conceptual Physics 11 th Edition. Atmospheric Pressure. Atmospheric Pressure. The Atmosphere

Atmospheric Pressure. Conceptual Physics 11 th Edition. Atmospheric Pressure. Atmospheric Pressure. The Atmosphere Atmospheric Pressure Conceptual Physics 11 th Edition Chapter 14: GASES Atmospheric pressure Caused by weight of air Varies from one locality to another Not uniform Measurements are used to predict weather

More information

Unit A: Mix and Flow of Matter

Unit A: Mix and Flow of Matter Unit A: Mix and Flow of Matter Science 8 1 Section 3.0 THE PROPERTIES OF GASES AND LIQUIDS CAN BE EXPLAINED BY THE PARTICLE MODEL OF MATTER. 2 1 Viscosity and the Effects of Temperature Topic 3.1 3 Viscosity

More information

Unit A-2: List of Subjects

Unit A-2: List of Subjects ES312 Energy Transfer Fundamentals Unit A: Fundamental Concepts ROAD MAP... A-1: Introduction to Thermodynamics A-2: Engineering Properties Unit A-2: List of Subjects Basic Properties and Temperature Pressure

More information

Buoyancy and the Density of Liquids (approx. 2 h) (11/24/15)

Buoyancy and the Density of Liquids (approx. 2 h) (11/24/15) Buoyancy and the Density of Liquids (approx. 2 h) (11/24/15) Introduction Which weighs more, a pound of lead or a pound of feathers? If your answer to this question is "a pound of lead", then you are confusing

More information

ACTIVITY 1: Buoyancy Problems. OBJECTIVE: Practice and Reinforce concepts related to Fluid Pressure, primarily Buoyancy

ACTIVITY 1: Buoyancy Problems. OBJECTIVE: Practice and Reinforce concepts related to Fluid Pressure, primarily Buoyancy LESSON PLAN: SNAP, CRACKLE, POP: Submarine Buoyancy, Compression, and Rotational Equilibrium DEVELOPED BY: Bill Sanford, Nansemond Suffolk Academy 2012 NAVAL HISTORICAL FOUNDATION TEACHER FELLOWSHIP ACTIVITY

More information

SINK vs. FLOAT THE CASE OF THE CARTESIAN DIVER

SINK vs. FLOAT THE CASE OF THE CARTESIAN DIVER SINK vs. FLOAT THE CASE OF THE CARTESIAN DIVER INTRODUCTION: This lesson provides practice making observations and formulating hypotheses. It also provides opportunities to explore the concepts of buoyancy,

More information

Multiple Choice. AP B Fluids Practice Problems. Mar 22 4:15 PM. Mar 22 4:15 PM. Mar 22 4:02 PM

Multiple Choice. AP B Fluids Practice Problems. Mar 22 4:15 PM. Mar 22 4:15 PM. Mar 22 4:02 PM P Fluids Practice Problems Mar 22 4:15 PM Multiple hoice Mar 22 4:15 PM 1 Two substances mercury with a density 13600 kg/m 3 and alcohol with a density 0.8 g/cm 3 are selected for an experiment. If the

More information

Exercises The Atmosphere (page 383) 20.2 Atmospheric Pressure (pages )

Exercises The Atmosphere (page 383) 20.2 Atmospheric Pressure (pages ) Exercises 20.1 The Atmosphere (page 383) 1. The energizes the molecules in Earth s atmosphere. 2. Why is gravity important to Earth s atmosphere? 3. What would happen to Earth s atmosphere without the

More information

Chapter Five: Density and Buoyancy

Chapter Five: Density and Buoyancy Chapter Five: Density and Buoyancy 5.1 Density 5.2 Buoyancy 5.3 Heat Affects Density and Buoyancy 5.1 Mass and Weight Mass is the amount of matter in an object. Weight is a measure of the pulling force

More information

Fluid Statics. Henryk Kudela. 1 Distribution of Pressure in the Fluid 1. 2 Hydrostatic pressure 3. 3 The Measurement of the Pressure 4

Fluid Statics. Henryk Kudela. 1 Distribution of Pressure in the Fluid 1. 2 Hydrostatic pressure 3. 3 The Measurement of the Pressure 4 Fluid Statics Henryk Kudela Contents 1 Distribution of Pressure in the Fluid 1 2 Hydrostatic pressure 3 3 The Measurement of the Pressure 4 Fluid statics is that branch of mechanics of fluids that deals

More information

Lab 11 Density and Buoyancy

Lab 11 Density and Buoyancy b Lab 11 Density and uoyancy Physics 211 Lab What You Need To Know: Density Today s lab will introduce you to the concept of density. Density is a measurement of an object s mass per unit volume of space

More information

Physics, Chapter 8: Hydrostatics (Fluids at Rest)

Physics, Chapter 8: Hydrostatics (Fluids at Rest) University of Nebraska - Lincoln DigitalCommons@University of Nebraska - Lincoln Robert Katz Publications Research Papers in Physics and Astronomy 1958 Physics, Chapter 8: Hydrostatics (Fluids at Rest)

More information

Dec 6 3:08 PM. Density. Over the last two periods we discussed/observed the concept of density. What have we learned?

Dec 6 3:08 PM. Density. Over the last two periods we discussed/observed the concept of density. What have we learned? Over the last two periods we discussed/observed the concept of density. What have we learned? is a ratio of mass to volume describes how much matter is packed into a space is a property of both solids

More information

Shark Biology Buoyancy by Bill Andrake

Shark Biology Buoyancy by Bill Andrake Shark Biology Buoyancy by Bill Andrake Science Lesson: Buoyancy - Based on Webisode 45 - Shark Biology Grade Level: 6-8 Time: Four (45-50 minute) class periods Introduction Jonathan narrates an educational

More information

1Pressure 2 21Volume 2 2. or Temperature 2. where the subscript 1 signifies the initial conditions and the subscript 2 signifies the final conditions.

1Pressure 2 21Volume 2 2. or Temperature 2. where the subscript 1 signifies the initial conditions and the subscript 2 signifies the final conditions. 10-4 Gases The ideal gas law expresses the relationship between the pressure, volume, and temperature of a gas. In the exercises in this chapter, the mass of the gas remains constant. You will be examining

More information

U S F O S B u o y a n c y And Hydrodynamic M a s s

U S F O S B u o y a n c y And Hydrodynamic M a s s 1 U S F O S B u o y a n c y And Hydrodynamic M a s s 2 CONTENTS: 1 INTRODUCTION... 3 2 ACCURACY LEVELS... 3 2.1 LEVEL-0... 3 2.2 LEVEL-1... 3 2.3 PANEL MODEL... 3 3 EX 1. SINGLE PIPE. NON FLOODED... 4

More information

mass of container full of air = g mass of container with extra air = g volume of air released = cm 3

mass of container full of air = g mass of container with extra air = g volume of air released = cm 3 1992 Q32 The air pressure inside the passenger cabin of an airliner is 9 x 10 4 Pa when the airliner is at its cruising height. The pressure of the outside atmosphere at this height is 4 x 10 4 Pa. Calculate

More information

Fluids Chapter 13 & 14 Liquids & Gases

Fluids Chapter 13 & 14 Liquids & Gases Fluids Chapter 13 & 14 Liquids & Gases Liquids like solids are difficult to compress. Both liquids and gases can flow, so both are called fluids. The pressure you feel is due to the weight of water (or

More information

Tutorial 5 Relative equilibrium

Tutorial 5 Relative equilibrium Tutorial 5 Relative equilibrium 1. n open rectangular tank 3m long and 2m wide is filled with water to a depth of 1.5m. Find the slope of the water surface when the tank moves with an acceleration of 5m/s

More information

CEE 452/652. Week 3, Lecture 1 Mass emission rate, Atmospheric Stability. Dr. Dave DuBois Division of Atmospheric Sciences, Desert Research Institute

CEE 452/652. Week 3, Lecture 1 Mass emission rate, Atmospheric Stability. Dr. Dave DuBois Division of Atmospheric Sciences, Desert Research Institute CEE 452/652 Week 3, Lecture 1 Mass emission rate, Atmospheric Stability Dr. Dave DuBois Division of Atmospheric Sciences, Desert Research Institute Today s topics Review homework Review quiz Mass emission

More information

Science In Action 8 - Unit 1 Mix and Flow of Matter

Science In Action 8 - Unit 1 Mix and Flow of Matter 1.0 Fluids are used in Technological devices and common everyday materials Key Concepts Workplace Hazardous Materials Information System (WHMIS) and safety fluid properties What does the acronym W.H.M.I.S.

More information

Water demos

Water demos Bell Ringer 1. Where is most of the land ice on Earth located? 2. Where is most of the land ice melting right now? 3. Why is it important to study rising oceans? Water demos Salt Water Lab DENSITY & BUOYANCY

More information

20 Gases. Gas molecules are far apart and can move freely between collisions.

20 Gases. Gas molecules are far apart and can move freely between collisions. Gas molecules are far apart and can move freely between collisions. Gases are similar to liquids in that they flow; hence both are called fluids. In a gas, the molecules are far apart, allowing them to

More information

Gas molecules are far apart. collisions The Atmosphere

Gas molecules are far apart. collisions The Atmosphere Gas molecules are far apart and can move freely between collisions. Gases are similar to liquids in that they flow; hence both are called fluids. In a gas, the molecules are far apart, allowing them to

More information

Name Period Date. Lab 5: The Molar Volume of a Gas

Name Period Date. Lab 5: The Molar Volume of a Gas Name Period Date Lab 5: The Molar Volume of a Gas Objective: To determine the actual molar volume of oxyen as To determine an experimental value for the universal as constant Introduction To calculate

More information

Lesson 48: Wave Velocity and Boundaries

Lesson 48: Wave Velocity and Boundaries Lesson 48: Wave Velocity and Boundaries Wave Velocity The speed of a wave does not depend on the amplitude or wavelength of the wave. Instead, the speed of the wave is determined by the properties of the

More information

CARTESIAN DIVER (1 Hour)

CARTESIAN DIVER (1 Hour) (1 Hour) Addresses NGSS Level of Difficulty: 2 Grade Range: K-2 OVERVIEW In this activity, students will build a Cartesian diver and discover how compression and changes in density cause the diver to mysteriously

More information

Goals. Unconditional stability Conditional stability Buoyancy Buoyancy waves

Goals. Unconditional stability Conditional stability Buoyancy Buoyancy waves Stability and waves Goals Unconditional stability Conditional stability Buoyancy Buoyancy waves Moist adiabatic lapse rate Archimedes principle A body immersed in a fluid is buoyed up by a force equal

More information

THERMODYNAMICS, HEAT AND MASS TRANSFER TUTORIAL NO: 1 (SPECIFIC VOLUME, PRESSURE AND TEMPERATURE)

THERMODYNAMICS, HEAT AND MASS TRANSFER TUTORIAL NO: 1 (SPECIFIC VOLUME, PRESSURE AND TEMPERATURE) THERMODYNAMICS, HEAT AND MASS TRANSFER TUTORIAL NO: 1 (SPECIFIC VOLUME, PRESSURE AND TEMPERATURE) 1. A vacuum gauge mounted on a condenser reads 66 cm Hg. What is the absolute pressure in the condenser

More information

LESSON 2: SUBMARINE BUOYANCY INVESTIGATION

LESSON 2: SUBMARINE BUOYANCY INVESTIGATION LESSON 2: SUBMARINE BUOYANCY INVESTIGATION Lesson overview This lesson encourages students to investigate hands-on the property of neutral buoyancy, and to discuss its importance in terms of submarines.

More information

An underwater explosion is an explosion where the point of detonation is below the surface of the water.

An underwater explosion is an explosion where the point of detonation is below the surface of the water. Underwater Explosion 1 Introduction An underwater explosion is an explosion where the point of detonation is below the surface of the water. Underwater explosion are categorized in accordance with their

More information