Chapter 4: Buoyancy & Stability

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "Chapter 4: Buoyancy & Stability"

Transcription

1 Chapter 4: Buoyancy & Stability

2 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 fully submerged or floating. Determine whether a floating body is stable or not. Understand the metacentre and identify the metacentric height of a body fully or partially immersed. UiTMKS/ FCE/ BCBidaun/ ECW211 2

3 Introduction Buoyancy (upthrust): The vertical force exerted by the fluid on an immersed body. Upthrust on body = Weight of fluid displaced by fluid F b gv d the body W object gv Centre of buoyancy: The point which buoyancy is acting & the centroid of the displaced volume of fluid. o UiTMKS/ FCE/ BCBidaun/ ECW211 3

4 F b1 Fluid of density ρ 1 cb 1 V 1 cb 2 V2 Fluid of density ρ 2 F b2 Upthrust on upper part, Upthrust on lower part, F F b1 b2 Totalupthrust gv gv gv 1 2 acting through cb acting through gv cb 2 UiTMKS/ FCE/ BCBidaun/ ECW211 4

5 Procedure for solving buoyancy problems 1. Draw FBD. 2. Write vertical equilibrium equation, 3. Solve for the required by applying buoyancy principles: i. Buoyant force, F V ii. Weight of object, W Object V Object iii. W < R object floats at the surface of fluid iv. W > R object sinks in the fluid v. W = R floats at a certain depth of immersion vi. Depth of immersion, b fluid Vd x A displaced FV 0 UiTMKS/ FCE/ BCBidaun/ ECW211 5

6 Example 4.1 A stone weighs 665 N in the air. When the stone is completely submerged in water, it weighs 420 N. Calculate the volume of the stone. The unit weight of the stone is Nm -3. UiTMKS/ FCE/ BCBidaun/ ECW211 6

7 Example 4.2 A 60 mm cube is made of rigid foam material and floats in water with a depth of 40 mm below the water surface as shown in Fig. 4.2 (a). Determine the magnitude and direction of the force required to hold the cube completely submerged in glycerine, which has a specific gravity of W F b F e W F b 40 mm Water Glycerine UiTMKS/ FCE/ BCBidaun/ ECW211 7

8 Example 4.3 (Douglas, 2006) A rectangular pontoon has a width B of 6 m, a length l of 12 m, and a draught D of 1.5 m in fresh water (density 1000 kgm -3 ). Calculate (a) the weight of the pontoon, (b)its draught in sea water (density 1025 kgm -3 ) and (c) the load (in kn) that can be supported by the pontoon in fresh water if the maximum draught permissible is 2 m. UiTMKS/ FCE/ BCBidaun/ ECW211 8

9 Example 4.4 (Bansal, 2003) A wooden log of 0.6 m diameter and 5 m length is floating in river water. Find the depth of the wooden log in water when the specific gravity of the log is 0.7. h A B 2θ O D C 0.6 m UiTMKS/ FCE/ BCBidaun/ ECW211 9

10 Example 4.5 (Bansal, 2003) Find the density of a metallic body which floats at the interface of mercury of specific gravity 13.6 and water such that 40% of its volume is submerged in mercury and 60% in water. UiTMKS/ FCE/ BCBidaun/ ECW211 10

11 Stability The equilibrium of a body may be stable, unstable or neutral, depending upon whether, when given a small displacement, it tends to return to the equilibrium position, move further from it or remain in the displaced position. 2 cases: Fully immersed body Floating body (partially immersed) UiTMKS/ FCE/ BCBidaun/ ECW211 11

12 Stability of a fully immersed body Small angular displacement of θ from equilibrium position will generate a moment W x BG x θ G below B : Righting moment, return to its equilibrium position G above B: Overturning moment, body unstable UiTMKS/ FCE/ BCBidaun/ ECW211 12

13 UiTMKS/ FCE/ BCBidaun/ ECW211 13

14 Stability of floating body When body is displaced through an angle θ, the shape of volume changes and cb moves from B to B. Turning moment (W x θ) is produced : righting moment as in (b) or turning moment as in (c) UiTMKS/ FCE/ BCBidaun/ ECW211 14

15 Metacentre, M : point at which the line of action of the upthrust R cuts the original vertical through G. x GM Where θ is small, so that sin θ = tan θ = θ in radians. Metacentric height: the distance GM UiTMKS/ FCE/ BCBidaun/ ECW211 15

16 If M lies above G, a righting moment W x GM x θ is produced, equilibrium is stable and GM is regarded as positive. If M lies below G, an overturning moment W x GM x θ is produced, equilibrium is unstable and GM is regarded as negative. If M coincides with G, the body is in neutral equilibrium. UiTMKS/ FCE/ BCBidaun/ ECW211 16

17 UiTMKS/ FCE/ BCBidaun/ ECW211 17

18 Determination of the metacentric height The metacentric height of a vessel can be determined if the angle of tilt θ caused by moving a load P a known distance x across the deck is measured. Overturning moment due to movement of load P Px If GM is the metacentric height and W = mg is the total weight of the vessel including P, Righting moment W GM UiTMKS/ FCE/ BCBidaun/ ECW211 18

19 For equlibrium in the tilted position, the righting moment must equal the overturning moment so that, W GM Metacentric height, GM Px Px W UiTMKS/ FCE/ BCBidaun/ ECW211 19

20 Determination of the position of the metacentric relative to centre of buoyancy For a vessel of known shape and displacement, the position of the centre of buoyancy B is comparatively easily found and the position of M relative to B can be easily calculated. Moment due to movement of But, Therefore, F b ρgv BB' MB BB' MB Total moment due to altered displaceme nt ρgθi I V d UiTMKS/ FCE/ BCBidaun/ ECW211 20

21 Procedure for determining stability of floating bodies Determine the position of floating body using the buoyancy principles. Locate B/ cb and calculate the distance from the bottom of body to B/ cb y cb Locate G/ cg and calculate the distance from the bottom of body to G/ cg y cg UiTMKS/ FCE/ BCBidaun/ ECW211 21

22 Calculate second moment of area I of the plane cut by the water surface hence calculate MB/ GM. MB Calculate the distance from the bottom of the body to MB using I V d y mc y cb MB UiTMKS/ FCE/ BCBidaun/ ECW211 22

23 Example 4.6 A flatboat hull weighs 130 kn when fully loaded. Fig. 4.7 (a) and (b) show the front and side views of the boat. Determine whether the boat is stable in water and find out if the boat will float. The centre of gravity is at 0.7 m measured from the bottom of the boat. The length of the boat is 6.0 m, the width is 2.2 m and the height is 1.2 m. UiTMKS/ FCE/ BCBidaun/ ECW211 23

24 Example 4.7 A piece of cork has been cut to take the shape as shown in Fig. 4.8 and has a specific weight of 2.36 knm -3. The cork is then put into turpentine which has a specific gravity of 0.87 as shown in Fig. 4.8 (b). Determine whether the cork is stable. UiTMKS/ FCE/ BCBidaun/ ECW211 24

25 Example 4.8 A wooden cone floats in water in the position shown in Fig. 4.9 (a). Determine whether the cone is stable or not if the specific gravity of the wood is UiTMKS/ FCE/ BCBidaun/ ECW211 25

26 Example 4.9 (Douglas, 2006) A cylindrical buoy (Fig. 4.10) 1.8 m in diameter, 1.2 m high and weighing 10 kn floats in salt water of density 1025 kgm -3. Its centre of gravity is 0.45 m from the bottom. If a load of 2 kn is placed on the top, find the maximum height of centre of gravity of this load above the bottom if the buoy is to remain in stable equilibrium. UiTMKS/ FCE/ BCBidaun/ ECW211 26

27 Exercises UiTMKS/ FCE/ BCBidaun/ ECW211 27

28 Douglas 3.17 A buoy floating in sea water of density 1025 kgm -3 is conical in shape with a diameter across the top of 1.2 m and a vertex angle of Its mass is 300 kg and its centre of gravity is 750 mm from the vertex. A flashing beacon is to be fitted to the top of the buoy. If this unit has a mass of 55 kg, what is the maximum height of its centre of gravity above the top of the buoy if the whole assembly is not to be unstable? ( The centre of volume of a cone of height h is at a distance ¾ h from the vertex). (Ans: 1.25 m) UiTMKS/ FCE/ BCBidaun/ ECW211 28

29 Munson 2.98 A river barge, whose cross section is approximately rectangular, carries a load of grain. The barge is 8.5 m wide and 27.4 m long. When unloaded its draft ( depth of submergence) is 1.5 m, and with the load of grain the draft is 2.0 m. Determine: a. The unloaded weight of the barge b. The weight of the grain (Ans: 3.42 MN, MN) UiTMKS/ FCE/ BCBidaun/ ECW211 29

30 Munson When the Tucurui Dam was constructed in northern Brazil, the lake that was created covered a large forest of valuable hardwood trees. It was found that even after 15 years underwater the trees were perfectly preserved and underwater logging was started. During the logging process a tress is selected, trimmed, and anchored with ropes to prevent it from shooting to the surface like a missile when cut. Assume that a typical large tree can be approximated as a truncated cone with a base diameter of 2.4 m, a top diameter of 0.6 m, and a height of 30.0 m. determine the resultant vertical force that the ropes must resist when the completely submerged tree is cut. The specific gravity of the wood is approximately 0.6. (Ans:233 kn) UiTMKS/ FCE/ BCBidaun/ ECW211 30

31 Munson An inverted test tube partially filled with air floats in a plastic water-filled soft drink bottle as shown in VideoV2.7 and Fig. P The amount of air in the tube has been adjusted so that it just floats. The bottle cap is securely fastened. A slight squeezing of the plastic bottle will cause the test tube to sink to the bottom of the bottle. Explain this phenomenon. UiTMKS/ FCE/ BCBidaun/ ECW211 31

32 Munson An irregular shaped piece of a solid material weighs 36 N in air and 23 N when completely submerged in water. Determine the density of the material. (Ans: 2.77 x 10 3 kg/m 3 ) UiTMKS/ FCE/ BCBidaun/ ECW211 32

33 Munson A 1-m diameter cylindrical mass, M, is connected to a 2-m wide rectangular gate as shown in Fig. P The gate is to open when the water level, h, drops below 2.5 m. Determine the required value for M. Neglect friction at the gate hinge and the pulley. (Ans: 2480 kg) UiTMKS/ FCE/ BCBidaun/ ECW211 33

34 Suhaimi 4.17 A flashing beacon of mass 15 kg is fitted at the top of a 150 kg conical shaped buoy. The diameter across the top of the buoy is 1.0 m with a 50 0 vertex angle. Check the stability of the whole assembly if the center of gravity is 600 mm from the vertex and density of ocean water is 1025 kg/m 3. (Ans: Stable) UiTMKS/ FCE/ BCBidaun/ ECW211 34

35 Review of past semesters final exam questions UiTMKS/ FCE/ BCBidaun/ ECW211 35

36 Figure Q3(b) shows the wooden block with S.G = 0.8, is floating in water with depth of immersion, h m. Compute the volume and height, h for the immersed wooden block. Classify and shows the stability of the wooden block. (14 marks) OCT 2010 UiTMKS/ FCE/ BCBidaun/ ECW211 36

37 A spherical buoy has a diameter of 1.5 m weighs 8.50 kn and is anchored to the sea floor with a cable as is shown in Figure Q3(a) below. Although the buoy normally floats on the surface at certain times the water depth increases so that the buoy is completely immersed as illustrated. Determine the load tension of the cable. ( specific weight of sea water =10.1 kn/m 3 ) (8 marks) APR 2010 UiTMKS/ FCE/ BCBidaun/ ECW211 37

38 APR 2010 Figure Q3(b) shows a cylindrical buoy with a 1.8 m in diameter, 1.2 m high and weighs 10 kn, floats vertically in salt water of density 1025 kg/m 3. If the centre of gravity of the buoy is 0.45 m from the bottom, identify its stability. UiTMKS/ FCE/ BCBidaun/ ECW211 38

39 OCT 2009 A metallic cube 300 mm side and weighing 450 N is immersed into a tank containing two fluid layers of water and mercury as shown in Figure Q3(a). Use the buoyancy principles to determine the position of the cube at mercury-water interface when it has reached equilibrium. (7 marks) UiTMKS/ FCE/ BCBidaun/ ECW211 39

40 APR 2009 Figure Q3 (b) shows a buoy having a diameter of 2.4 m and length of 1.95 m is floating with its axis vertically located in sea water with specific weight of 10 kn/m 3. The buoy's weight is 16.5 kn and a load of 1.65 kn is placed on top of the buoy. If the buoy is to remain in stable equilibrium, determine the permissible height of the centre of gravity of the load above the top of the buoy using the buoyancy principles. UiTMKS/ FCE/ BCBidaun/ ECW211 40

41 UiTMKS/ FCE/ BCBidaun/ ECW211 41

42 APR 2009 A rectangular pontoon has a width of 8m, a length of 14m, and a draught of 2.5m in freshwater (p=1000 kg/m3). Using buoyancy concept calculate the following: i) The weight of pontoon ii) Its draught in seawater (p=1025 kg/m3) iii) The load that can be supported by the pontoon in freshwater if the maximum draught permissible is 4m. (10 marks) UiTMKS/ FCE/ BCBidaun/ ECW211 42

43 APR 2009 A block of wood has been cut as shown in Figure Q3(b) has a specific weight of 4.38kN/m 3. The wood is floating on glycerine which has a specific gravity of Determine the following properties using the buoyancy concept: i) Volume of displacement ii) Depth of immersion iii) Centre of buoyancy UiTMKS/ FCE/ BCBidaun/ ECW211 43

44 OCT 2008 A solid cylinder 2 m in diameter and 2 m in height is floating in water with its vertical axis as shown in Figure Q3(a). If the specific gravity of the material of cylinder is 0.65, apply the buoyancy concept to determine its metacentric height. Identify whether the equilibrium is stable or unstable. UiTMKS/ FCE/ BCBidaun/ ECW211 44

45 OCT 2008 A wooden block of width 1.25m, depth 0.75m and length 3.0m is floating in water as shown in Figure Q3(b). Given the specific weight of the wood is 6.4kN/m 3. Find the volume of water displaced and the position of centre of buoyancy by applying the Buoyancy concept. (10 marks) UiTMKS/ FCE/ BCBidaun/ ECW211 45

46 APR 2008 Figure Q3(b) shows the side view of a cylinder of 0.4 m diameter and height of 0.5 m floating in fresh water. Determine the stability of the cylinder if the specific weight of the cylinder is 5500 N/m 3. (14 marks) UiTMKS/ FCE/ BCBidaun/ ECW211 46

47 Summary End UiTMKS/ FCE/ BCBidaun/ ECW211 47

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

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

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

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

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

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

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

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

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

Archimedes. F b (Buoyant Force) DEMO. Identical Size Boxes Which has larger F B. Which is heavier. styrofoam (1 cm 3 ) steel ( 1 cm 3 )

Archimedes. F b (Buoyant Force) DEMO. Identical Size Boxes Which has larger F B. Which is heavier. styrofoam (1 cm 3 ) steel ( 1 cm 3 ) Fluids Density 1 F b (Buoyant Force) DEMO Archimedes Identical Size Boxes Which has larger F B Which is heavier styrofoam (1 cm 3 ) steel ( 1 cm 3 ) steel ( 1 cm 3 ) styrofoam (1 cm 3 ) 2 Finding the Weight

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

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

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

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

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

a) the object's density. c) the submerged volume of the object. b) the mass of the object. d) the shape of the object.

a) the object's density. c) the submerged volume of the object. b) the mass of the object. d) the shape of the object. Multiple Choice Questions ( Buoyant force and floatability) 1. The buoyant force on an object is dependent on a) the object's density. c) the submerged volume of the object. b) the mass of the object.

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

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

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

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

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

Fluid Statics. [Ans.(c)] (iv) How is the metacentric height, MG expressed? I I

Fluid Statics. [Ans.(c)] (iv) How is the metacentric height, MG expressed? I I Fluid Statics Q1. Coose te crect answer (i) Te nmal stress is te same in all directions at a point in a fluid (a) only wen te fluid is frictionless (b) only wen te fluid is frictionless and incompressible

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

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

Solution: The boat sinks until the weight of the additional water displaced equals the weight of the truck. Thus,

Solution: The boat sinks until the weight of the additional water displaced equals the weight of the truck. Thus, Problem1. A small ferry boat is 4.00 m wide and 6.00 m long. When a loaded truck pulls onto it, the boat sinks an additional 4.00 cm into the river. What is the weight of the truck? Solution: The boat

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

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

Chapter 11 FLUID STATICS

Chapter 11 FLUID STATICS hapter 11 LUID STATIS hapter 11 luid Statics luid Statics: Hydrostatic orces on Plane and urved Surfaces 11-1 The resultant hydrostatic force acting on a submerged surface is the resultant of the pressure

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

FLUID MECHANICS. Problem 2: Consider a water at 20 0 C flows between two parallel fixed plates.

FLUID MECHANICS. Problem 2: Consider a water at 20 0 C flows between two parallel fixed plates. FLUID MECHANICS Problem 1: Pressures are sometimes determined by measuring the height of a column of liquid in a vertical tube. What diameter of clean glass tubing is required so that the rise of water

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

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

E 490 Fundamentals of Engineering Review. Fluid Mechanics. M. A. Boles, PhD. Department of Mechanical & Aerospace Engineering

E 490 Fundamentals of Engineering Review. Fluid Mechanics. M. A. Boles, PhD. Department of Mechanical & Aerospace Engineering E 490 Fundamentals of Engineering Review Fluid Mechanics By M. A. Boles, PhD Department of Mechanical & Aerospace Engineering North Carolina State University Archimedes Principle and Buoyancy 1. A block

More information

Physics 231 Lecture 24

Physics 231 Lecture 24 Physics 31 Lecture 4 Main points of today s lecture: uoyancy y y ernouli s equation 1 P g V W F displaced f displaced 0 0 0 1 gy v P gy v P f f f Viscous flow Poisseuille s law d Av F L P P R t V 8 1 4

More information

Processes of Science: Physics of Matter. Introduction to Buoyancy

Processes of Science: Physics of Matter. Introduction to Buoyancy Processes of Science: Physics of Matter Introduction to Buoyancy Introduction: You already know that it's easier to lift something heavy when it's underwater. Why is this? Because the water helps support

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

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

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 2101 S c e t c i cti n o 3 n 3 March 26th Announcements: Next Quiz on Next Quiz April

Physics 2101 S c e t c i cti n o 3 n 3 March 26th Announcements: Next Quiz on Next Quiz April Physics 2101 Section 3 March 26 th Announcements: Next Quiz on April 1 st Don t forget supl. HW #9 Cha. 14 today Class Website: http://www.phys.lsu.edu/classes/spring2010/phys2101-3/ http://www.phys.lsu.edu/~jzhang/teaching.html

More information

General Physics (PHY 2130)

General Physics (PHY 2130) General Physics (PHY 30) Lecture 3 Solids and fluids buoyant force Archimedes principle Fluids in motion http://www.physics.wayne.edu/~apetrov/phy30/ Lightning Review Last lecture:. Solids and fluids different

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

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

CHAPTER 29 VOLUMES AND SURFACE AREAS OF COMMON SOLIDS

CHAPTER 29 VOLUMES AND SURFACE AREAS OF COMMON SOLIDS CHAPTER 9 VOLUMES AND SURFACE AREAS OF COMMON EXERCISE 14 Page 9 SOLIDS 1. Change a volume of 1 00 000 cm to cubic metres. 1m = 10 cm or 1cm = 10 6m 6 Hence, 1 00 000 cm = 1 00 000 10 6m = 1. m. Change

More information

OUTCOME 1 STATIC FLUID SYSTEMS TUTORIAL 1 - HYDROSTATICS

OUTCOME 1 STATIC FLUID SYSTEMS TUTORIAL 1 - HYDROSTATICS Unit 41: Fluid Mechanics Unit code: T/601/1445 QCF Level: 4 Credit value: 15 OUTCOME 1 STATIC FLUID SYSTEMS TUTORIAL 1 - HYDROSTATICS 1. Be able to determine the behavioural characteristics and parameters

More information

Chapter (1) Fluids and their Properties

Chapter (1) Fluids and their Properties Chapter (1) Fluids and their Properties Fluids (Liquids or gases) which a substance deforms continuously, or flows, when subjected to shearing forces. If a fluid is at rest, there are no shearing forces

More information

Worked Examples of mathematics used in Civil Engineering

Worked Examples of mathematics used in Civil Engineering Worked Examples of mathematics used in Civil Engineering Worked Example 1: Stage 1 Engineering Surveying (CIV_1010) Tutorial - Transition curves and vertical curves. Worked Example 1 draws from CCEA Advanced

More information

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Exam Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 1) A lawn roller in the form of a uniform solid cylinder is being pulled horizontally by a horizontal

More information

CHAPTER 3: FORCES AND PRESSURE

CHAPTER 3: FORCES AND PRESSURE CHAPTER 3: FORCES AND PRESSURE 3.1 UNDERSTANDING PRESSURE 1. The pressure acting on a surface is defined as.. force per unit. area on the surface. 2. Pressure, P = F A 3. Unit for pressure is. Nm -2 or

More information

Total Time: 90 mins Practise Exercise no. 1 Total no. Of Qs: 51

Total Time: 90 mins Practise Exercise no. 1 Total no. Of Qs: 51 Mensuration (3-D) Total Time: 90 mins Practise Exercise no. 1 Total no. Of Qs: 51 Q1. A wooden box of dimensions 8m x 7m x 6m is to carry rectangular boxes of dimensions 8cm x 7cm x 6cm. The maximum number

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

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

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

Density (r) Chapter 10 Fluids. Pressure 1/13/2015

Density (r) Chapter 10 Fluids. Pressure 1/13/2015 1/13/015 Density (r) Chapter 10 Fluids r = mass/volume Rho ( r) Greek letter for density Units - kg/m 3 Specific Gravity = Density of substance Density of water (4 o C) Unitless ratio Ex: Lead has a sp.

More information

Write True or False in the space provided.

Write True or False in the space provided. CP Physics -- Exam #7 Practice Name: _ Class: Date: Write True or False in the space provided. 1) Pressure at the bottom of a lake depends on the weight density of the lake water and on the volume of the

More information

Density and Archimedes Principle

Density and Archimedes Principle Density and Archimedes Principle Objectives: To understand the concept of density and its relationship to various materials. To understand and use Archimedes Principle. Equipment: Dial calipers, Graduated

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

Mercury is poured into a U-tube as in Figure (14.18a). The left arm of the tube has crosssectional

Mercury is poured into a U-tube as in Figure (14.18a). The left arm of the tube has crosssectional Chapter 14 Fluid Mechanics. Solutions of Selected Problems 14.1 Problem 14.18 (In the text book) Mercury is poured into a U-tube as in Figure (14.18a). The left arm of the tube has crosssectional area

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

"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

Laboratory 11. Fluid Statics, Pressure, and Buoyant Forces

Laboratory 11. Fluid Statics, Pressure, and Buoyant Forces Laboratory 11 Fluid Statics, Pressure, and Buoyant Forces I. Introduction In this exercise we will investigate some properties of non-moving fluids and the forces they exert on objects immersed in them.

More information

P113 University of Rochester NAME S. Manly Fall 2013

P113 University of Rochester NAME S. Manly Fall 2013 Final Exam (December 19, 2013) Please read the problems carefully and answer them in the space provided. Write on the back of the page, if necessary. Show all your work. Partial credit will be given unless

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

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. Please Circle Your Lab day: M T W T F

Buoyancy. Please Circle Your Lab day: M T W T F Please Circle Your Lab day: M T W T F Name: Project #1: Show that the buoyant force (F B ) equals fluid gv object by first calculating fluid gv object, and then by measuring F B (indirectly) using the

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

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

γ [Increase from (1) to (2)] γ (1ft) [Decrease from (2) to (B)]

γ [Increase from (1) to (2)] γ (1ft) [Decrease from (2) to (B)] 1. The manometer fluid in the manometer of igure has a specific gravity of 3.46. Pipes A and B both contain water. If the pressure in pipe A is decreased by 1.3 psi and the pressure in pipe B increases

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

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

MEASUREMENT OF MASS, WEIGHT AND DENSITY

MEASUREMENT OF MASS, WEIGHT AND DENSITY MEASUREMENT OF MASS, WEIGHT AND DENSITY I. Tick (t') the most appropriate answer. 1. The SI unit of weight is (a) kg (b) newton (c) newton-metre (d) km 2. We use a beam balance to measure (a) weight (b)

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

Density and Archimedes Principle

Density and Archimedes Principle Density and Archimedes Principle Objectives: To understand the concept of density and its relationship to various materials. To understand and use Archimedes Principle. Equipment: Dial calipers, Graduated

More information

Keep Your Head Above Water

Keep Your Head Above Water Grade 8 Activity Keep Your Head Above Water Do things that float behave differently in salt and fresh water? What lets them float, and when do they sink? Concepts Water has physical properties of density

More information

Problem 1. 12ft. Find: Velocity of truck for both drag situations. Equations: Drag F Weight. For force balance analysis: Lift and Drag: Solution:

Problem 1. 12ft. Find: Velocity of truck for both drag situations. Equations: Drag F Weight. For force balance analysis: Lift and Drag: Solution: Problem 1 Given: Truck traveling down 7% grade Width 10ft m 5 tons 50,000 lb Rolling resistance on concrete 1.% weight C 0.96 without air deflector C 0.70 with air deflector V 100 7 1ft Find: Velocity

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

δy θ Pressure is used to indicate the normal force per unit area at a given point acting on a given plane.

δy θ Pressure is used to indicate the normal force per unit area at a given point acting on a given plane. 2 FLUID PRESSURES By definition, a fluid must deform continuously when a shear stress of any magnitude is applied. Therefore when a fluid is either at rest or moving in such a manner that there is no relative

More information

Chapter 13 Fluids. Copyright 2009 Pearson Education, Inc.

Chapter 13 Fluids. Copyright 2009 Pearson Education, Inc. Chapter 13 Fluids 13-1 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

25ml graduated. dish soap 100ml graduated cylinders. cylinders. Metric ruler with mm divisions. digital scale

25ml graduated. dish soap 100ml graduated cylinders. cylinders. Metric ruler with mm divisions. digital scale You are challenged to get your film canister to float while filled with the most weight you can. The film canisters will not be capped, so if they go under water at all, they will sink. You want to get

More information

9 ROTATIONAL DYNAMICS

9 ROTATIONAL DYNAMICS CHAPTER 9 ROTATIONAL DYNAMICS CONCEPTUAL QUESTIONS 1. REASONING AND SOLUTION The magnitude of the torque produced by a force F is given by τ = Fl, where l is the lever arm. When a long pipe is slipped

More information

PHYS 101-4M, Fall 2005 Exam #3. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

PHYS 101-4M, Fall 2005 Exam #3. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. PHYS 101-4M, Fall 2005 Exam #3 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A bicycle wheel rotates uniformly through 2.0 revolutions in

More information

MEASUREMENT OF MASS, WEIGHT AND DENSITY

MEASUREMENT OF MASS, WEIGHT AND DENSITY 1 MEASUREMENT OF MASS, WEIGHT AND DENSITY I. Tick ( ) the most appropriate answer. 1. The SI unit of weight is (a) kg (b) newton (c) newton-metre (d) km 2. We use a beam balance to measure (a) weight (b)

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

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

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

Fluid Mechanics: Static s Kinematics Dynamics Fluid

Fluid Mechanics: Static s Kinematics Dynamics Fluid Fluid Mechanics: Fluid mechanics may be defined as that branch of engineering science that deals with the behavior of fluid under the condition of rest and motion Fluid mechanics may be divided into three

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

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

Floating between two liquids. Laurence Viennot. http://education.epsdivisions.org/muse/

Floating between two liquids. Laurence Viennot. http://education.epsdivisions.org/muse/ Floating between two liquids Laurence Viennot http://education.epsdivisions.org/muse/ Abstract The hydrostatic equilibrium of a solid floating between two liquids is analysed, first as a classical exercise,

More information

Matter and the Universe. Ancient Views. Modern Views. Periodic Table of Elements. Ernest Rutherford

Matter and the Universe. Ancient Views. Modern Views. Periodic Table of Elements. Ernest Rutherford Matter and the Universe Ancient Views Early atomists believed that matter had a smallest indivisible bit, an atom. Aristotle, the most famous of the early Greek philosophers, didn't agree with the idea

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

Solution: (a) For a positively charged particle, the direction of the force is that predicted by the right hand rule. These are:

Solution: (a) For a positively charged particle, the direction of the force is that predicted by the right hand rule. These are: Problem 1. (a) Find the direction of the force on a proton (a positively charged particle) moving through the magnetic fields as shown in the figure. (b) Repeat part (a), assuming the moving particle is

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

AAPT UNITED STATES PHYSICS TEAM AIP CEE 2013

AAPT UNITED STATES PHYSICS TEAM AIP CEE 2013 F = ma Exam AAPT UNITED STATES PHYSICS TEAM AIP CEE F = ma Contest 5 QUESTIONS - 75 MINUTES INSTRUCTIONS DO NOT OPEN THIS TEST UNTIL YOU ARE TOLD TO BEGIN Use g = N/kg throughout this contest. You may

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

ALPERTON COMMUNITY SCHOOL MATHS FACULTY ACHIEVING GRADE A/A* EXAM PRACTICE BY TOPIC

ALPERTON COMMUNITY SCHOOL MATHS FACULTY ACHIEVING GRADE A/A* EXAM PRACTICE BY TOPIC ALPERTON COMMUNITY SCHOOL MATHS FACULTY ACHIEVING GRADE A/A* EXAM PRACTICE BY TOPIC WEEK Calculator paper Each set of questions is followed by solutions so you can check & mark your own work CONTENTS TOPIC

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

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

Lecture 13 Mass Density (Chapter 12) Pressure Buoyant Force

Lecture 13 Mass Density (Chapter 12) Pressure Buoyant Force Lecture 13 Mass Density (Chapter 12) Pressure Buoyant Force (Chap. 13) Density The (mass) density of a material is its mass M per unit volume V: The densities of most liquids and solids vary slightly with

More information

Pascal s Principle. Any change in the pressure of a fluid is transmitted uniformly in all directions throughout the fluid.

Pascal s Principle. Any change in the pressure of a fluid is transmitted uniformly in all directions throughout the fluid. Pascal s Principle What happens inside a fluid when pressure is exerted on it? Does pressure have a direction? Does it transmit a force to the walls or bottom of a container? Any change in the pressure

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