EXPERIMENT (2) BUOYANCY & FLOTATION (METACENTRIC HEIGHT)

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "EXPERIMENT (2) BUOYANCY & FLOTATION (METACENTRIC HEIGHT)"

Transcription

1 EXPERIMENT (2) BUOYANCY & FLOTATION (METACENTRIC HEIGHT) 1 By: Eng. Motasem M. Abushaban. Eng. Fedaa M. Fayyad.

2 ARCHIMEDES PRINCIPLE Archimedes Principle states that the buoyant force has a magnitude equal to the weight of the fluid displaced by the body and is directed vertically upward. Buoyant force is a force that results from a floating or submerged body in a fluid. The force results from different pressures on the top and bottom of the object. W is the weight of the shaded area F 1 and F 2 are the forces on the plane surfaces F B is the buoyant force the body exerts on the fluid 2

3 ARCHIMEDES PRINCIPLE The force of the fluid on the body is opposite, or vertically upward and is known as the Buoyant Force. The force is equal to the weight of the fluid it displaces. The buoyant forces acts through the centroid of the displaced volume 3 The location is known as the center of buoyancy.

4 STABILITY: SUBMERGED OBJECT Stable Equilibrium: if when displaced returns to equilibrium position. Unstable Equilibrium: if when displaced it returns to a new equilibrium position. Stable Equilibrium: Unstable Equilibrium: C > CG, Higher C < CG, Lower 4

5 STABILITY: SUBMERGED OBJECT If the Centre of Gravity is below the centre of buoyancy this will be a righting moment and the body will tend to return to its equilibrium position (Stable). If the Centre of Gravity is above the centre of buoyancy,an overturning moment is produced and the body is (unstable). Note that, As the body is totally submerged, the shape of displaced fluid is not altered when the body is tilted and so the centre of buoyancy unchanged relative to the body. 5

6 BUOYANCY AND STABILITY: FLOATING OBJECT Slightly more complicated as the location of the center buoyancy can change: 6

7 METACENTRE AND METACENTRIC HEIGHT Metacentre point (M): This point, about which the body starts oscillating. Metacentric Height: Is the distance between the centre of gravity of floating body and the metacentre. 7

8 STABILITY OF FLOATING OBJECT If M lies above G a righting moment is produced, equilibrium is stable and GM is regarded as positive. If M lies below G an overturning moment is produced, equilibrium is unstable and GM is regarded as negative. If M coincides with G, the body is in neutral equilibrium. 8

9 DETERMINATION OF METACENTRIC HEIGHT 1- Practically : 2- Theoretically: MG = BM + OB OG...(2) In Water OB = 0.5 V b. d 9

10 h 10

11 PURPOSE: To determine the metacentric height of a flat bottomed vessel in two parts: PART (1) : for unloaded and for loaded pontoon. PART (2) : when changing the center of gravity of the pontoon. 11

12 EXPERIMENTAL SET-UP: The set up consists of a small water tank having transparent side walls in which a small ship model is floated, the weight of the model can be changed by adding or removing weights. Adjustable mass is used for tilting the ship, plump line is attached to the mast to measure the tilting angle. 12

13 PART (1) Determination of floatation characteristic for unloaded and for loaded pontoon. 13

14 PROCEDURE 1. Assemble the pontoon by positioning the bridge piece and mast. 2. Weigh the pontoon and determine the height of its center of gravity up the line of the mast. 3. Fill the hydraulic bench measuring tank with water and float the pontoon in it, then ensure that the plumb line on the zero mark. 4. Apply a weight of 50 g on the bridge piece loading pin then measure and record the angle of tilting and the value of applied weight 14

15 PROCEDURE 5. Repeat step 4 for different weights; 100, 150, & 200 g, and take the corresponding angle of tilting. 6. Repeat the above procedure with increasing the bottom loading by 2000 gm and 4000 gm. 7. Record the results in the table. 8. Calculate GM practically where, W has three cases. 9. Draw a relationship between θ (x-axis) and GM (y-axis), then obtain GM when θ equals zero. 10. Calculate GM theoretically. 15

16 Pontoon measurement: - Pontoon dimension : Depth (D) = 170 mm Length (L) = 380 mm, Width (W) = 250 mm. -The height of the center of gravity of the pontoon is OG vm = 125 mm from outer surface of vessel base. - The balance weight is placed at x = 123 mm from pontoon center line. - The weight of the pontoon and the mast W vm = 3000 gm Bilge Weight Wb (gm) Off balance wt. P (gm) Mean Def. θ (degree) Exp. GM (mm) GM at θ =0 from graph BM OB Theo. GM (mm) (mm) (mm) x1 = x1 =

17 PURPOSE: To determine the metacentric height of a flat bottomed vessel in two parts: PART (1) : for unloaded and for loaded pontoon. PART (2) : when changing the center of gravity of the pontoon. 17

18 Remember: - Pontoon dimension : Depth (D) = 170 mm Length (L) = 380 mm, Width (W) = 250 mm. - The height of the center of gravity of the pontoon is OG vm = 125 mm from outer surface of vessel base. - The balance weight is placed at x = 123 mm from pontoon center line. - The weight of the pontoon and the mast W vm = 3000 gm 18

19 PROCEDURE PART (2) : when changing the center of gravity of the pontoon. 1. Replace the bilge weights by 4x 50 gm weights. 2. Apply a weight of 300gm on a height of 190 mm from the pontoon surface. 3. Apply weights of 40, 80 &120 gms on the bridge piece loading pin, then record the corresponding tilting angle. 4. Calculate GM practically where GM = P(123) 3500.θ 5. Draw a relationship between θ in degrees (x-axis) and GM Practical (y-axis), then obtain GM when θ equals zero. 19

20 PROCEDURE 6. Move 50 gm bilge weight to the mast ahead, then repeat steps 3,4&5. 7. Repeat step 6 moving 100, 150 & 200 gm bilge weight to the mast. 8. Determine the height of the center of gravity for each loading condition according to equation OG = Wvm(125) + Wb(35) + Wb1(190) + Wm(790 + W L ) 2 20

21 3000(125) + 300(190) + Wb(35) + Wm(790 + OG = 3500 L ) 2 21

22 8. Calculate GM theoretically according to equation GM (Th.) = BM + OB OG Notice: BM & OB are constants for all loading conditions, since the dimensions & the weight of pontoon do not alter. 22

23 Table (2) \ Part (2) Off balance wt. Mean Def. Exp. GM BM OG Theo. GM P (gm) θ (degree) (mm) (mm) (mm) (mm) Mast Weight = Mast Weight = Mast weight = Mast Weight = Mast weight = Unstable

24 24

25 QUESTIONS 25

Experiment (2): Metacentric height of floating bodies

Experiment (2): Metacentric height of floating bodies Experiment (2): Metacentric height of floating bodies Introduction: The Stability of any vessel which is to float on water, such as a pontoon or ship, is of paramount importance. The theory behind the

More information

Figure 1- Different parts of experimental apparatus.

Figure 1- Different parts of experimental apparatus. Objectives Determination of center of buoyancy Determination of metacentric height Investigation of stability of floating objects Apparatus The unit shown in Fig. 1 consists of a pontoon (1) and a water

More information

Chapter 4: Buoyancy & Stability

Chapter 4: Buoyancy & Stability Chapter 4: Buoyancy & Stability Learning outcomes By the end of this lesson students should be able to: Understand the concept of buoyancy hence determine the buoyant force exerted by a fluid to a body

More information

Applied Fluid Mechanics

Applied Fluid Mechanics Applied Fluid Mechanics 1. The Nature of Fluid and the Study of Fluid Mechanics 2. Viscosity of Fluid 3. Pressure Measurement 4. Forces Due to Static Fluid 6. Flow of Fluid and Bernoulli s Equation 7.

More information

CHAPTER 3. Static Forces on Surfaces Buoyancy. Dr Yunes Mogheir

CHAPTER 3. Static Forces on Surfaces Buoyancy. Dr Yunes Mogheir CHAPTER 3 Static Forces on Surfaces Buoyancy A Dr Yunes Mogheir ١ B C OBJECTIVES 1. Compute the hydrostatic pressures and forces on submerged surfaces in a static fluid. 2. Use the principle of static

More information

CE 204 FLUID MECHANICS

CE 204 FLUID MECHANICS CE 204 FLUID MECHANICS Onur AKAY Assistant Professor Okan University Department of Civil Engineering Akfırat Campus 34959 Tuzla-Istanbul/TURKEY Phone: +90-216-677-1630 ext.1974 Fax: +90-216-677-1486 E-mail:

More information

8 Buoyancy and Stability

8 Buoyancy and Stability Jianming Yang Fall 2012 16 8 Buoyancy and Stability 8.1 Archimedes Principle = fluid weight above 2 ABC fluid weight above 1 ADC = weight of fluid equivalent to body volume In general, ( = displaced fluid

More information

Chapter 3. Flotation. ELEMENTARY HYDRAULICS National Certificate in Technology (Civil Engineering) Buoyancy

Chapter 3. Flotation. ELEMENTARY HYDRAULICS National Certificate in Technology (Civil Engineering) Buoyancy ELEMENTARY HYDRAULICS National Certificate in Technology (Civil Engineering) Chapter 3 Flotation Buoyancy Buoyancy arises from the fact that fluid pressure increases with depth and from the fact that the

More information

Figure 1: The Net Force of the Fluid Acting on an Object Is the Buoyant Force

Figure 1: The Net Force of the Fluid Acting on an Object Is the Buoyant Force Buoyancy, Stability, and Ballast 1 Cornerstone Electronics Technology and Robotics III (Notes primarily from Underwater Robotics Science Design and Fabrication, an excellent book for the design, fabrication,

More information

CH-205: Fluid Dynamics

CH-205: Fluid Dynamics CH-05: Fluid Dynamics nd Year, B.Tech. & Integrated Dual Degree (Chemical Engineering) Solutions of Mid Semester Examination Data Given: Density of water, ρ = 1000 kg/m 3, gravitational acceleration, g

More information

13.3 Buoyancy. Buoyant Force

13.3 Buoyancy. Buoyant Force The forces from pressure acting on the bottom of this golf ball are greater than those on the top. This produces a net force called the buoyant force that acts upward on the ball. Buoyant Force What is

More information

Safety practices related to small fishing vessel stability

Safety practices related to small fishing vessel stability 8 TRANSVERSE STABILITY When a vessel is floating upright (at equilibrium) in still water, the centre of buoyancy (upthrust) and the centre of gravity (downthrust) will be on the same line, vertically above

More information

Tutorial 4. Buoyancy and floatation

Tutorial 4. Buoyancy and floatation Tutorial 4 uoyancy and floatation 1. A rectangular pontoon has a width of 6m, length of 10m and a draught of 2m in fresh water. Calculate (a) weight of pontoon, (b) its draught in seawater of density 1025

More information

Experiment #4 Sugar in Soft Drinks and Fruit Juices. Laboratory Overview CHEM 1361. August 2010

Experiment #4 Sugar in Soft Drinks and Fruit Juices. Laboratory Overview CHEM 1361. August 2010 Experiment #4 Sugar in Soft Drinks and Fruit Juices Laboratory Overview CHEM 1361 August 2010 Gary S. Buckley, Ph.D. Department of Physical Sciences Cameron University Learning Objectives Relate density

More information

Fig. 9: an immersed body in a fluid, experiences a force equal to the weight of the fluid it displaces.

Fig. 9: an immersed body in a fluid, experiences a force equal to the weight of the fluid it displaces. Buoyancy Archimedes s 1 st laws of buoyancy: A body immersed in a fluid experiences a vertical buoyant force equal to the weight of the fluid it displaces, see Fig. 9 and 10. Fig. 9: an immersed body in

More information

Buoyancy and Archimedes Principle. Buoyancy and Archimedes Principle Assume block is in equilibrium.

Buoyancy and Archimedes Principle. Buoyancy and Archimedes Principle Assume block is in equilibrium. Assume block is in equilibrium. Then upward forces must equal downward forces. Upward force: pressure from fluid Downward force: atmospheric pressure plus weight Therefore In this case, the object is less

More information

Hydrostatic Force on a Submerged Surface

Hydrostatic Force on a Submerged Surface Experiment 3 Hydrostatic Force on a Submerged Surface Purpose The purpose of this experiment is to experimentally locate the center of pressure of a vertical, submerged, plane surface. The experimental

More information

Chapter 5: Distributed Forces; Centroids and Centers of Gravity

Chapter 5: Distributed Forces; Centroids and Centers of Gravity CE297-FA09-Ch5 Page 1 Wednesday, October 07, 2009 12:39 PM Chapter 5: Distributed Forces; Centroids and Centers of Gravity What are distributed forces? Forces that act on a body per unit length, area or

More information

Archimedes Principle

Archimedes Principle rev 12/2016 Archimedes Principle Equipment Qty Item Parts Number 1 Force Sensor, Economy CI-6746 1 Lab Jack SE-9373 1 Beaker SE-7288 1 250 ml Graduated Cylinder 1 Large Rod ME-8738 1 Small Rod ME-8988

More information

Grade 8 Science Chapter 9 Notes

Grade 8 Science Chapter 9 Notes Grade 8 Science Chapter 9 Notes Force Force - Anything that causes a change in the motion of an object. - usually a push or a pull. - the unit for force is the Newton (N). Balanced Forces - forces that

More information

Three Methods for Calculating the Buoyant Force Gleue: Physics

Three Methods for Calculating the Buoyant Force Gleue: Physics Three Methods for Calculating the Buoyant Force Gleue: Physics Name Hr. The Buoyant Force (F b ) is the apparent loss of weight for an object submerged in a fluid. For example if you have an object immersed

More information

A MATTER OF STABILITY AND TRIM By Samuel Halpern

A MATTER OF STABILITY AND TRIM By Samuel Halpern A MATTER OF STABILITY AND TRIM By Samuel Halpern INTRODUCTION This short paper deals with the location of Titanic s Center of Buoyancy (B), Center of Gravity (G) and Metacenter Height (M) on the night

More information

FLUID FORCES ON CURVED SURFACES; BUOYANCY

FLUID FORCES ON CURVED SURFACES; BUOYANCY FLUID FORCES ON CURVED SURFCES; BUOYNCY The principles applicable to analysis of pressure-induced forces on planar surfaces are directly applicable to curved surfaces. s before, the total force on the

More information

Archimedes Principle. Biological Systems

Archimedes Principle. Biological Systems Archimedes Principle Introduction Many of the substances we encounter in our every day lives do not have rigid structure or form. Such substances are called fluids and can be divided into two categories:

More information

Archimedes' Principle

Archimedes' Principle Archimedes' Principle Introduction Archimedes' Principle states that the upward buoyant force exerted on a body immersed in a fluid, whether fully or partially submerged, is equal to the weight of the

More information

Hydrostatic Pressure on a Partially and Fully Submerged Vertical Rectangular Surface R. Helm

Hydrostatic Pressure on a Partially and Fully Submerged Vertical Rectangular Surface R. Helm Hydrostatic Pressure on a Partially and Fully Submerged Vertical Rectangular Surface R. Helm ABSTRACT. Hydrostatic Pressure Systems allow for the measurement and development of hydrostatic force and center

More information

Clicker Questions Chapter 10

Clicker Questions Chapter 10 Clicker Questions Chapter 10 2010 Pearson Education, Inc. Essential College Physics Rex/Wolfson Question 10.1 Density If one material has a higher density than another, does this mean that the molecules

More information

Sinking Bubble in Vibrating Tanks Christian Gentry, James Greenberg, Xi Ran Wang, Nick Kearns University of Arizona

Sinking Bubble in Vibrating Tanks Christian Gentry, James Greenberg, Xi Ran Wang, Nick Kearns University of Arizona Sinking Bubble in Vibrating Tanks Christian Gentry, James Greenberg, Xi Ran Wang, Nick Kearns University of Arizona It is experimentally observed that bubbles will sometimes sink to the bottom of their

More information

4. Buoyancy of Pipelines.

4. Buoyancy of Pipelines. 4. Buoyancy of Pipelines. a. General. 1) The possibility of pipe flotation exists when the pipeline is constructed in areas which will be inundated, such as stream crossings, flood plains and high ground

More information

Lab 8: Buoyancy and Archimedes Principle

Lab 8: Buoyancy and Archimedes Principle Description Lab 8: Buoyancy and Archimedes Principle In this lab, you will explore the force that displacing a fluid (liquid or gas) will exert on the body displacing the fluid. You will study how the

More information

vertically upwards at the centre of buoyancy B. This centre of buoyancy is located at (b) Stable

vertically upwards at the centre of buoyancy B. This centre of buoyancy is located at (b) Stable 5. THE STABLTY OF A FLOATNG BODY 11l1roduct;on When designing a vessel such as a ship, which is to float on water, it is clearly necessary to be able to establish beforehand that it will float upright

More information

Higher Technological Institute Civil Engineering Department. Lectures of. Fluid Mechanics. Dr. Amir M. Mobasher

Higher Technological Institute Civil Engineering Department. Lectures of. Fluid Mechanics. Dr. Amir M. Mobasher Higher Technological Institute Civil Engineering Department Lectures of Fluid Mechanics Dr. Amir M. Mobasher 1/14/2013 Fluid Mechanics Dr. Amir Mobasher Department of Civil Engineering Faculty of Engineering

More information

Buoyancy Problem Set

Buoyancy Problem Set Buoyancy Problem Set 1) A stone weighs 105 lb in air. When submerged in water, it weighs 67.0 lb. Find the volume and specific gravity of the stone. (Specific gravity of an object: ratio object density

More information

Hydrostatic Force on a Curved Surfaces

Hydrostatic Force on a Curved Surfaces Hydrostatic Force on a Curved Surfaces Henryk Kudela 1 Hydrostatic Force on a Curved Surface On a curved surface the forces pδa on individual elements differ in direction, so a simple summation of them

More information

Described by Isaac Newton

Described by Isaac Newton Described by Isaac Newton States observed relationships between motion and forces 3 statements cover aspects of motion for single objects and for objects interacting with another object An object at rest

More information

Physics 123 Fluid Mechanics Review

Physics 123 Fluid Mechanics Review Physics 123 Fluid Mechanics Review I. Definitions & Facts Density Specific gravity (= D material / D water ) Pressure Atmosphere, bar, Pascal Streamline, laminar flow Gauge pressure Turbulence Density

More information

p atmospheric Statics : Pressure Hydrostatic Pressure: linear change in pressure with depth Measure depth, h, from free surface Pressure Head p gh

p atmospheric Statics : Pressure Hydrostatic Pressure: linear change in pressure with depth Measure depth, h, from free surface Pressure Head p gh IVE1400: n Introduction to Fluid Mechanics Statics : Pressure : Statics r P Sleigh: P..Sleigh@leeds.ac.uk r J Noakes:.J.Noakes@leeds.ac.uk January 008 Module web site: www.efm.leeds.ac.uk/ive/fluidslevel1

More information

Newton s Third Law: A Verification with Buoyancy Forces

Newton s Third Law: A Verification with Buoyancy Forces Newton s Third Law: A Verification with Buoyancy Forces Barry Feierman - April 2013 SEPS/AAPT Drexel University Newton s Third Law is the law of interaction. For every force that acts on one object, there

More information

Fluids I. Level : Conceptual Physics/Physics I. Q1) Order the following materials from lowest to greatest according to their densities.

Fluids I. Level : Conceptual Physics/Physics I. Q1) Order the following materials from lowest to greatest according to their densities. Fluids I Level : Conceptual Physics/Physics I Teacher : Kim 1. Density One of the properties of any substances (solids, liquids and gases) is the measure of how tightly the material is packed together.

More information

Assignment 1 SOLUTIONS

Assignment 1 SOLUTIONS Assignment 1 SOLUTIONS 1. 18k Gold The overall density is the total mass divided by the total volume, so let s think about the volume fo 1 gram of 18k gold, which I ll call V 1g 18k. The volume 1 gm of

More information

11. IMPACT OF A JET. Introduction

11. IMPACT OF A JET. Introduction 11. IMPACT OF A JET Introduction Water turbines are widely used throughout the world to generate power. In the type of water turbine referred to as a Pelton wheel, one or more water jets are directed tangentially

More information

Activity P13: Buoyant Force (Force Sensor)

Activity P13: Buoyant Force (Force Sensor) Activity P13: Buoyant Force (Force Sensor) Equipment Needed Qty Equipment Needed Qty Economy Force Sensor (CI-6746) 1 Mass and Hanger Set (ME-9348) 1 Base and Support Rod (ME-9355) 1 Ruler, metric 1 Beaker,

More information

Copyright 2011 Casa Software Ltd. www.casaxps.com. Centre of Mass

Copyright 2011 Casa Software Ltd. www.casaxps.com. Centre of Mass Centre of Mass A central theme in mathematical modelling is that of reducing complex problems to simpler, and hopefully, equivalent problems for which mathematical analysis is possible. The concept of

More information

Worksheet for Exploration 14.1: Floating and Density

Worksheet for Exploration 14.1: Floating and Density Worksheet for Exploration 14.1: Floating and Density How can a boat made out of a material more dense than water float? The block has a mass of 0.185 kg (position is given in centimeters). If this block

More information

Why do objects float or sink?

Why do objects float or sink? Why do objects float or sink? Summary Students will use models to gain an understanding of the principles of buoyancy and how they apply to technologies used to explore the ocean Learning Objectives Students

More information

Fluids I. Density is a measure of how much matter is squeezed into a given space, that is, the amount of mass per unit volume.

Fluids I. Density is a measure of how much matter is squeezed into a given space, that is, the amount of mass per unit volume. Fluids I Level : Conceptual Physics Teacher : Kim 1. Density One of the properties of any substances (solids, liquids and gases) is the measure of how tightly the material is packed together. This property

More information

Name Block Date March 2007 Ch. 19 Liquids Notes

Name Block Date March 2007 Ch. 19 Liquids Notes Name Block Date March 2007 Ch. 19 Liquids Notes Mrs. Peck Objectives: 1. Describe what determines the pressure of a liquid at any point. 19.1 2. Explain the cause of a buoyant force on an immersed or submerged

More information

Chapter 3: Pressure and Fluid Statics

Chapter 3: Pressure and Fluid Statics Pressure Pressure is defined as a normal force exerted by a fluid per unit area. Units of pressure are N/m 2, which is called a pascal (Pa). Since the unit Pa is too small for pressures encountered in

More information

Physics 2101, First Exam, Fall 2007

Physics 2101, First Exam, Fall 2007 Physics 2101, First Exam, Fall 2007 September 4, 2007 Please turn OFF your cell phone and MP3 player! Write down your name and section number in the scantron form. Make sure to mark your answers in the

More information

The quest to find how x(t) and y(t) depend on t is greatly simplified by the following facts, first discovered by Galileo:

The quest to find how x(t) and y(t) depend on t is greatly simplified by the following facts, first discovered by Galileo: Team: Projectile Motion So far you have focused on motion in one dimension: x(t). In this lab, you will study motion in two dimensions: x(t), y(t). This 2D motion, called projectile motion, consists of

More information

Simple Harmonic Motion Concepts

Simple Harmonic Motion Concepts Simple Harmonic Motion Concepts INTRODUCTION Have you ever wondered why a grandfather clock keeps accurate time? The motion of the pendulum is a particular kind of repetitive or periodic motion called

More information

Name Partner Date Class

Name Partner Date Class Name Partner Date Class FLUIDS Part 1: Archimedes' Principle Equipment: Dial-O-Gram balance, small beaker (150-250ml), metal specimen, string, calipers. Object: To find the density of an object using Archimedes'

More information

PROJECTILE MOTION. Objective: To calculate the initial velocity of a projectile and verify the equations of projectile motion.

PROJECTILE MOTION. Objective: To calculate the initial velocity of a projectile and verify the equations of projectile motion. PROJECTILE MOTION Objective: To calculate the initial velocity of a projectile and verify the equations of projectile motion. Apparatus: Spring gun with ball, plumb bob, level, meter stick, target paper,

More information

Newton s Laws and Archimedes s Principle

Newton s Laws and Archimedes s Principle Purpose: To determine the densities of four metal cubes through an understanding of Archimedes's Principle. Equipment: Hooked Metal Cubes (Aluminum, Steel, Lead and Brass) Hooked Mass Set Beam Balance

More information

Density. Density is how concentrated or compact matter is.

Density. Density is how concentrated or compact matter is. Density Density is how concentrated or compact matter is. Packing snow into snowballs increases its density. You are squeezing large amounts of matter into small volumes of space. Equation for Density

More information

SIMPLE HARMONIC MOTION

SIMPLE HARMONIC MOTION SIMPLE HARMONIC MOTION PURPOSE The purpose of this experiment is to investigate one of the fundamental types of motion that exists in nature - simple harmonic motion. The importance of this kind of motion

More information

ENGINEERING SCIENCE H1 OUTCOME 1 - TUTORIAL 3 BENDING MOMENTS EDEXCEL HNC/D ENGINEERING SCIENCE LEVEL 4 H1 FORMERLY UNIT 21718P

ENGINEERING SCIENCE H1 OUTCOME 1 - TUTORIAL 3 BENDING MOMENTS EDEXCEL HNC/D ENGINEERING SCIENCE LEVEL 4 H1 FORMERLY UNIT 21718P ENGINEERING SCIENCE H1 OUTCOME 1 - TUTORIAL 3 BENDING MOMENTS EDEXCEL HNC/D ENGINEERING SCIENCE LEVEL 4 H1 FORMERLY UNIT 21718P This material is duplicated in the Mechanical Principles module H2 and those

More information

"Physics Floats My Boat

Physics Floats My Boat "Physics Floats My Boat A Modeling Approach to Teaching Archimedes Principle & Buoyant Force Any object, wholly or partially immersed in a fluid, is buoyed up by a force equal to the weight of the fluid

More information

oil liquid water water liquid Answer, Key Homework 2 David McIntyre 1

oil liquid water water liquid Answer, Key Homework 2 David McIntyre 1 Answer, Key Homework 2 David McIntyre 1 This print-out should have 14 questions, check that it is complete. Multiple-choice questions may continue on the next column or page: find all choices before making

More information

Ocean Structures and Materials Prof. Dr. Srinivasan Chandrasekaran Department of Ocean Engineering Indian Institute of Technology, Madras

Ocean Structures and Materials Prof. Dr. Srinivasan Chandrasekaran Department of Ocean Engineering Indian Institute of Technology, Madras Ocean Structures and Materials Prof. Dr. Srinivasan Chandrasekaran Department of Ocean Engineering Indian Institute of Technology, Madras Module - 1 Lecture - 8 Environmental loads II Ladies and gentlemen,

More information

MECHANICS OF SOLIDS - BEAMS TUTORIAL 2 SHEAR FORCE AND BENDING MOMENTS IN BEAMS

MECHANICS OF SOLIDS - BEAMS TUTORIAL 2 SHEAR FORCE AND BENDING MOMENTS IN BEAMS MECHANICS OF SOLIDS - BEAMS TUTORIAL 2 SHEAR FORCE AND BENDING MOMENTS IN BEAMS This is the second tutorial on bending of beams. You should judge your progress by completing the self assessment exercises.

More information

F mg (10.1 kg)(9.80 m/s ) m

F mg (10.1 kg)(9.80 m/s ) m Week 9 homework IMPORTANT NOTE ABOUT WEBASSIGN: In the WebAssign versions of these problems, various details have been changed, so that the answers will come out differently. The method to find the solution

More information

Physics 6B. Philip Lubin

Physics 6B. Philip Lubin Physics 6B Philip Lubin prof@deepspace.ucsb.edu http://www.deepspace.ucsb.edu/classes/physics-6b-spring-2015 Course Outline Text College Physics Freedman 2014 Cover Chap 11-13, 16-21 Chap 11- Fluid Chap

More information

Activity P13: Buoyant Force (Force Sensor)

Activity P13: Buoyant Force (Force Sensor) Name Class Date Activity P13: Buoyant Force (Force Sensor) Concept DataStudio ScienceWorkshop (Mac) ScienceWorkshop (Win) Archimedes Principle P13 Buoyant Force.DS P18 Buoyant Force P18_BUOY.SWS Equipment

More information

CHAPTER 2.0 ANSWER B.20.2

CHAPTER 2.0 ANSWER B.20.2 CHAPTER 2.0 ANSWER 1. A tank is filled with seawater to a depth of 12 ft. If the specific gravity of seawater is 1.03 and the atmospheric pressure at this location is 14.8 psi, the absolute pressure (psi)

More information

Physics 103 CQZ1 Solutions and Explanations. 1. All fluids are: A. gases. B. liquids. C. gases or liquids. D. non-metallic. E.

Physics 103 CQZ1 Solutions and Explanations. 1. All fluids are: A. gases. B. liquids. C. gases or liquids. D. non-metallic. E. Physics 03 CQZ Solutions and Explanations. All fluids are: A. gases B. liquids C. gases or liquids D. non-metallic E. transparent Matter is classified as solid, liquid, gas, and plasma. Gases adjust volume

More information

BUOYANCY! 2008, Peter Angstadt

BUOYANCY! 2008, Peter Angstadt BUOYANCY! 2008, Peter Angstadt What is buoyancy and why do I want it? Buoyancy is the principle that explains why objects float and rise to the surface of water. If your game has any liquid surfaces (like

More information

Fluids flow conform to shape of container. Mass: mass density, Forces: Pressure Statics: Human body 50-75% water, live in a fluid (air)

Fluids flow conform to shape of container. Mass: mass density, Forces: Pressure Statics: Human body 50-75% water, live in a fluid (air) Chapter 11 - Fluids Fluids flow conform to shape of container liquids OR gas Mass: mass density, Forces: Pressure Statics: pressure, buoyant force Dynamics: motion speed, energy friction: viscosity Human

More information

LESSON 15: Floating Paper Clips ESTIMATED TIME Setup: 5 minutes Procedure: 5 10 minutes

LESSON 15: Floating Paper Clips ESTIMATED TIME Setup: 5 minutes Procedure: 5 10 minutes LESSON 15: Floating Paper Clips ESTIMATED TIME Setup: 5 minutes Procedure: 5 10 minutes DESCRIPTION Utilize a careful technique to make a paper clip float on top of water. OBJECTIVE This lesson demonstrates

More information

Student Exploration: Archimedes Principle

Student Exploration: Archimedes Principle Name: Date: Student Exploration: Archimedes Principle Vocabulary: Archimedes principle, buoyant force, density, displace, mass, volume, weight Prior Knowledge Questions (Do these BEFORE using the Gizmo.)

More information

Simple Harmonic Motion

Simple Harmonic Motion Simple Harmonic Motion 9M Object: Apparatus: To determine the force constant of a spring and then study the harmonic motion of that spring when it is loaded with a mass m. Force sensor, motion sensor,

More information

Fluid Mechanics Definitions

Fluid Mechanics Definitions Definitions 9-1a1 Fluids Substances in either the liquid or gas phase Cannot support shear Density Mass per unit volume Specific Volume Specific Weight % " = lim g#m ( ' * = +g #V $0& #V ) Specific Gravity

More information

11 CHAPTER 11: FOOTINGS

11 CHAPTER 11: FOOTINGS CHAPTER ELEVEN FOOTINGS 1 11 CHAPTER 11: FOOTINGS 11.1 Footing Types Footings may be classified as deep or shallow. If depth of the footing is equal to or greater than its width, it is called deep footing,

More information

11/27/2014 Partner: Diem Tran. Bungee Lab I: Exploring the Relationship Between Bungee Cord Length and Spring Force Constant

11/27/2014 Partner: Diem Tran. Bungee Lab I: Exploring the Relationship Between Bungee Cord Length and Spring Force Constant Bungee Lab I: Exploring the Relationship Between Bungee Cord Length and Spring Force Constant Introduction: This lab relies on an understanding of the motion of a spring and spring constant to facilitate

More information

Physics Principles of Physics

Physics Principles of Physics Physics 1408-002 Principles of Physics Lecture 21 Chapter 13 April 2, 2009 Sung-Won Lee Sungwon.Lee@ttu.edu Announcement I Lecture note is on the web Handout (6 slides/page) http://highenergy.phys.ttu.edu/~slee/1408/

More information

PHYS-2212 LAB Coulomb s Law and the Force between Charged Plates

PHYS-2212 LAB Coulomb s Law and the Force between Charged Plates PHYS-2212 LAB Coulomb s Law and the Force between Charged Plates Objectives To investigate the electrostatic force between charged metal plates and determine the electric permittivity of free space, ε

More information

Concept Questions Archimedes Principle. 8.01t Nov 24, 2004

Concept Questions Archimedes Principle. 8.01t Nov 24, 2004 Concept Questions Archimedes Principle 8.01t Nov 24, 2004 Pascal s Law Pressure applied to an enclosed fluid is transmitted undiminished to every portion of the fluid and the walls of the containing vessel

More information

Density. Part 1: What is Density?

Density. Part 1: What is Density? Density Part 1: What is Density? Starter Activity Which is heavier, steel or wood? Density We can use a number to describe how heavy something is for its size. Density is the mass per unit of volume. To

More information

These slides contain some notes, thoughts about what to study, and some practice problems. The answers to the problems are given in the last slide.

These slides contain some notes, thoughts about what to study, and some practice problems. The answers to the problems are given in the last slide. Fluid Mechanics FE Review Carrie (CJ) McClelland, P.E. cmcclell@mines.edu Fluid Mechanics FE Review These slides contain some notes, thoughts about what to study, and some practice problems. The answers

More information

SOME BASIC FORMULAS. Area of Waterplane = L x B x C W. L = Length of vessel. B = Breadth of vessel...c W = Co-efficient of Waterplane

SOME BASIC FORMULAS. Area of Waterplane = L x B x C W. L = Length of vessel. B = Breadth of vessel...c W = Co-efficient of Waterplane SOME BASIC FORMULAS Area of Waterplane = L x B x C W. L = Length of vessel. B = Breadth of vessel...c W = Co-efficient of Waterplane Volume of Displacement = L x B x d x C B. d = depth of vessel.c B =

More information

IMPORTANT NOTE ABOUT WEBASSIGN:

IMPORTANT NOTE ABOUT WEBASSIGN: Week 8 homework IMPORTANT NOTE ABOUT WEBASSIGN: In the WebAssign versions of these problems, various details have been changed, so that the answers will come out differently. The method to find the solution

More information

Activity P13: Buoyant Force (Force Sensor)

Activity P13: Buoyant Force (Force Sensor) July 21 Buoyant Force 1 Activity P13: Buoyant Force (Force Sensor) Concept DataStudio ScienceWorkshop (Mac) ScienceWorkshop (Win) Archimedes Principle P13 Buoyant Force.DS P18 Buoyant Force P18_BUOY.SWS

More information

12.307. 1 Convection in water (an almost-incompressible fluid)

12.307. 1 Convection in water (an almost-incompressible fluid) 12.307 Convection in water (an almost-incompressible fluid) John Marshall, Lodovica Illari and Alan Plumb March, 2004 1 Convection in water (an almost-incompressible fluid) 1.1 Buoyancy Objects that are

More information

Chapter 13: LIQUIDS. Lecture Part 1-2. Armen Kocharian Pearson Education, Inc.

Chapter 13: LIQUIDS. Lecture Part 1-2. Armen Kocharian Pearson Education, Inc. Chapter 13: LIQUIDS Lecture Part 1-2 Armen Kocharian Objectives: Pressure Pressure in a Liquid Buoyancy in a Liquid Archimedes Principle What Makes an Object Sink or Float The force per unit area that

More information

Fluids: Liquids & Gases

Fluids: Liquids & Gases Chapter 7: Fluids Fluids: Liquids & Gases Fluids are substances that are free to flow. Atoms and molecules are free to move. They take the shape of their containers. Cannot withstand or exert shearing

More information

Mechanics 1. Revision Notes

Mechanics 1. Revision Notes Mechanics 1 Revision Notes July 2012 MECHANICS 1... 2 1. Mathematical Models in Mechanics... 2 Assumptions and approximations often used to simplify the mathematics involved:... 2 2. Vectors in Mechanics....

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Vector A has length 4 units and directed to the north. Vector B has length 9 units and is directed

More information

Density and Buoyant Force

Density and Buoyant Force Density_and_Buoyant_Force_6c.docx Density and Buoyant Force An exploration of the relationships between weight, density, and buoyant force. 1.1 EXPERIMENTAL GOAL 1 OBJECTIVES Students will use Archimedes'

More information

Buoyancy Boats Florida Sunshine State Science Standards: Objectives Engage: Explore:

Buoyancy Boats Florida Sunshine State Science Standards: Objectives Engage: Explore: Buoyancy Boats Florida Sunshine State Science Standards: SC.C.2.3.1 The student knows that many forces act at a distance. SC.C.2.3.2 The student knows common contact forces. SC.C.2.3.3 The student knows

More information

Buoyant Force and Archimedes Principle

Buoyant Force and Archimedes Principle Buoyant Force and Archimedes Principle Predict the behavior of fluids as a result of properties including viscosity and density Demonstrate why objects sink or float Apply Archimedes Principle by measuring

More information

AP2 Fluids. Kinetic Energy (A) stays the same stays the same (B) increases increases (C) stays the same increases (D) increases stays the same

AP2 Fluids. Kinetic Energy (A) stays the same stays the same (B) increases increases (C) stays the same increases (D) increases stays the same A cart full of water travels horizontally on a frictionless track with initial velocity v. As shown in the diagram, in the back wall of the cart there is a small opening near the bottom of the wall that

More information

Lab 9. Archimedes Principle and Applications. Upon successful completion of this exercise you will have...

Lab 9. Archimedes Principle and Applications. Upon successful completion of this exercise you will have... Lab 9 Archimedes Principle and Applications Objectives: Upon successful completion of this exercise you will have... 1.... utilized Archimedes principle to determine the density and specific gravity of

More information

Physics 11 (Fall 2012) Chapter 13: Fluids

Physics 11 (Fall 2012) Chapter 13: Fluids Physics 11 (Fall 2012) Chapter 13: Fluids "Keep in mind that neither success nor failure is ever final." Roger Ward Babson Our greatest glory is not in never failing, but in rising up every time we fail.

More information

Lesson 4 Rigid Body Statics. Taking into account finite size of rigid bodies

Lesson 4 Rigid Body Statics. Taking into account finite size of rigid bodies Lesson 4 Rigid Body Statics When performing static equilibrium calculations for objects, we always start by assuming the objects are rigid bodies. This assumption means that the object does not change

More information

2.016 Hydrodynamics Reading #2. 2.016 Hydrodynamics Prof. A.H. Techet

2.016 Hydrodynamics Reading #2. 2.016 Hydrodynamics Prof. A.H. Techet Pressure effects 2.016 Hydrodynamics Prof. A.H. Techet Fluid forces can arise due to flow stresses (pressure and viscous shear), gravity forces, fluid acceleration, or other body forces. For now, let us

More information

Pressure In A Fluid. GE Define fluid in your own words. 2. Is a liquid a fluid? Is a gas a fluid? Explain your reasoning.

Pressure In A Fluid. GE Define fluid in your own words. 2. Is a liquid a fluid? Is a gas a fluid? Explain your reasoning. HPP Activity 38v1 Pressure In A Fluid Note that this unit contains the word "fluid" in the title. Let us carry on by examining the relationship between pressure and fluids. Exploration GE 1. 1. Define

More information

Fluid Mechanics. Fluid Statics [3-1] Dr. Mohammad N. Almasri. [3] Fall 2010 Fluid Mechanics Dr. Mohammad N. Almasri [3-1] Fluid Statics

Fluid Mechanics. Fluid Statics [3-1] Dr. Mohammad N. Almasri. [3] Fall 2010 Fluid Mechanics Dr. Mohammad N. Almasri [3-1] Fluid Statics 1 Fluid Mechanics Fluid Statics [3-1] Dr. Mohammad N. Almasri Fluid Pressure Fluid pressure is the normal force exerted by the fluid per unit area at some location within the fluid Fluid pressure has the

More information

Announcements. Dry Friction

Announcements. Dry Friction Announcements Dry Friction Today s Objectives Understand the characteristics of dry friction Draw a FBD including friction Solve problems involving friction Class Activities Applications Characteristics

More information

Buoyancy is the tendency for materials to rise or float in a fluid The buoyant force is the force exerted on objects that are placed in a fluid in

Buoyancy is the tendency for materials to rise or float in a fluid The buoyant force is the force exerted on objects that are placed in a fluid in Buoyancy is the tendency for materials to rise or float in a fluid The buoyant force is the force exerted on objects that are placed in a fluid in the opposite direction of gravity The Anti-Gravity Force

More information