What is Buoyancy: Definition and 412 Discussions

Buoyancy (), or upthrust, is an upward force exerted by a fluid that opposes the weight of a partially or fully immersed object. In a column of fluid, pressure increases with depth as a result of the weight of the overlying fluid. Thus the pressure at the bottom of a column of fluid is greater than at the top of the column. Similarly, the pressure at the bottom of an object submerged in a fluid is greater than at the top of the object. The pressure difference results in a net upward force on the object. The magnitude of the force is proportional to the pressure difference, and (as explained by Archimedes' principle) is equivalent to the weight of the fluid that would otherwise occupy the submerged volume of the object, i.e. the displaced fluid.
For this reason, an object whose average density is greater than that of the fluid in which it is submerged tends to sink. If the object is less dense than the liquid, the force can keep the object afloat. This can occur only in a non-inertial reference frame, which either has a gravitational field or is accelerating due to a force other than gravity defining a "downward" direction.Buoyancy also applies to fluid mixtures, and is the most common driving force of convection currents. In these cases, the mathematical modelling is altered to apply to continuua, but the principles remain the same. Examples of buoyancy driven flows include the spontaneous separation of air and water or oil and water.
The center of buoyancy of an object is the center of gravity of the displaced volume of fluid.

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  1. A

    Buoyancy problem in two liquids

    in attached fig. is their any buoyant force on block by liquid 'A'?what is total force on block by liquid 'A'?
  2. M

    Buoyancy calculating unknown density

    Homework Statement A cube of wood, of mass 0.50 kg and side length 10.80 cm, is floating in a beaker containing alcohol, as shown. a) What is the density of the wood? b) Ifthe wood is exactly half submerged, find the density ofthe alcohol Homework Equations not sure how to go about to...
  3. P

    Buoyancy and Spring force problem.

    Homework Statement A spring with spring constant 35N/m is attached to the ceiling, and a radius=0.025m, 1.0kg metal cylinder is attached to the lower end. The cylinder is held so that the spring is neither stretched nor compressed, then a tank of water is placed under-neath with the surface of...
  4. O

    Center of Buoyancy: Proving BFO at Center of Gravity of Fluid

    Homework Statement Show that the buoyant force on a partially submerged object acts at the center of gravity of the fluid before it is displaced. This point is called the center of buoyancy. The Attempt at a Solution I need to get better at proofs, so try not to just give me the...
  5. R

    Questions on Buoyancy: Learn About Forces & Fluids

    1)How can a fluid exert pressure in all directions ?The only force that a fluid exerts is its weight (as far as I know) and as weight acts downwards, fluids should only exert pressure in the downward direction. Also why do they say fluids exert pressure in all directions ? Why can't they say...
  6. T

    Understanding Buoyancy & Its Causes

    I think that buoyancy is caused by the increase of density with depth (the deeper you go, the more molecules there are per unit volume). Therefore an object in a fluid will be hit by more of the fluid molecules from below than from above (even if the difference is only a tiny fraction of 1%). Is...
  7. T

    The cause of buoyancy in terms of the molecules

    I think that buoyancy is caused by the increase of density with depth (the deeper you go, the more molecules there are per unit volume). Therefore an object in a fluid will be hit by more of the fluid molecules from below than from above (even if the difference is only a tiny fraction of 1%). Is...
  8. S

    Buoyancy force of a hot-air balloon

    Homework Statement The envelope and basket of a hot-air balloon have combined mass of 331 kg. The spherical envelope of the balloon has a radius of 10 m when fully inflated. What is the maximum mass of the passengers the balloon can carry when the temperature of the gas is 108 o C? Use...
  9. F

    Buoyancy & Weight: Does Ice Float?

    This is more of a conceptional question. Let's say you have 1L of water in a bucket on a weighing scale, which currently reads 50N. If a couple of ice cubes were added, would the weighing scale read 50N + weight of 2 ice cubes? Side-Notes: density of the ice < density of water ice...
  10. G

    How Can I Create a Buoyancy Lab for Extra Credit?

    Homework Statement Create a lab that proves the buoyant force equation; on a separate sheet of paper That is the directions Homework Equations F = pvg The Attempt at a Solution We haven't done anything to do with buoyancy, this is extra credit. I'm not sure what to do.
  11. Rapier

    Buoyancy (A Boat in Water vs Alcohol)

    Homework Statement You take a toy boat, float it in a tub of water and one half of the boat is below the surface. According to Archimedes’ Principle, how much of the boat would be below the surface if you tried to float it in a tub of alcohol? →Less than half. →Half. →More than half, but...
  12. Darth Frodo

    Buoyancy Force and Pressure: A Thought Experiment

    I may be completely out of whack here but this kept me up last night... Suppose a cork from a wine bottle is taken down to a depth of X metres. Since cork is less dense than water it will obviously float to the surface. I was thinking about manipulating the formulae. Buoyancy force = Vρg...
  13. S

    Calculating Mass of Dry Wood in Buoyancy Problem

    Homework Statement A pig of mass (1158kg) is placed on a fart made of dry wood. The raft completely submerged in water so that the raft's top surface was just level with the surface of the lake. If the raft's volume was 3.40 m^3, what was the mass of the raft's dry wood? Density of water is...
  14. T

    A Helium Balloon and Buoyancy

    Homework Statement A helium balloon ride lifts up passengers in a basket. Assume the density of air is 1.28 kg1m-3 and the density of helium in the balloon is 0.18 kg1m-3. The radius of the balloon (when filled) is R = 5 m. The total mass of the empty balloon and basket is mb = 123 kg and the...
  15. D

    Buoyant Force and Displacement Volume of a Boat in Lake Superior

    Homework Statement A boat full of people lazily drifts along in Lake Superior. The boat has a mass, including people of 15,450kg. A. What is the buoyant force? B. What is the volume of the displaced liquid in cubic meters? The Attempt at a Solution A. Fb=mg Fb=? m=15,450kg g=...
  16. A

    Buoyancy Problem Involving Archimede's Principle

    1. A wooden ball with a weight of 14.0 N hangs from a string tied to a spring scale. When the ball is at rest, exactly 50% submerged in water, the spring scale reads 5.00 N. For this problem, we will use a density of water of 1000 kg/m3, and we will use g = 10.0 m/s2. (a) If the ball was only...
  17. J

    Help with buoyancy question thanks

    help with buoyancy question thanks! An object denser than water rests on the bot- tom of a container full of water. The object has volume V and a density p = 4 pw, where pw is the density of water. What supporting force N does the con- tainer bottom exert on the object, in terms of pw...
  18. M

    Exploring Spring Buoyancy: How it Works & Effects

    Hello,world [PLAIN]http://img507.imageshack.us/img507/4446/samar.jpg 1-How does this spring scale work? 2-Where does this increase in the reading of the normal balance(scale) come from? Does it come from the rise in water level in the tank?Okay water already has aconstant mass Does it...
  19. P

    Understanding Buoyancy: Answering the Question on Stone Immersion

    Hello everyone, Suppose, we have a stone tied to one end of a rubber string. We suspend the stone by holding the balance or the string.Then, note the reading on the spring balance. Now, slowly dip the stone in water in a container. Our teacher told that the stone faces buoyancy as soon as it...
  20. C

    Exploring the Possibility of a Vacuum-based Buoyancy System for Atmospheric Lift

    Hi, first time posting here. I was watching a show about hydrogen/helium balloons and it got me thinking about buoyancy in atmospheric gasses (nitrogen) and what might work better than the common gasses and I considered that since the goal of a balloon is to reduce the internal mass relative to...
  21. C

    A Question About Buoyancy Force (I Think My Teacher Is Wrong)

    How can they be equal at that point? And where is the force that the string applies. By the way Fk = Buoyancy Force
  22. K

    Understanding Buoyancy: Calculating Mass of a Ship in Different Fluids

    53 ••• [SSM] A ship sails from seawater (specific gravity 1.025) into freshwater, and therefore sinks slightly. When its 600,000-kg load is removed, it returns to its original level. Assuming that the sides of the ship are vertical at the water line, find the mass of the ship before it was...
  23. P

    Exploring physical concepts (buoyancy, air drag) but afraid of the math.

    Hello! I have just rediscovered this place since a few years back when I first signed up. This will be my first post, so forgive me if it is a bit long. I have been thinking about this for a while. So I have been thinking about buoyancy. I have learned that the buoyancy force is caused by...
  24. J

    Is Buoyancy Different on Other Planets Due to Changes in Gravity?

    I'm looking at a question in a grade 8 science textbook. It asks what would happen to the buoyancy force if gravity was increased or decreased. I.e. is buoyancy different on other planets? Since the buoyancy force is a factor of pressure differentials due to the weight of the fluid...
  25. T

    How do I troubleshoot a simulation not loading in my web browser?

    Buoyancy.. can someone help me!? Homework Statement im doing an online physics intro class. and for the buoyancy chapter i have to open this .jar file and then explain what happens to the hot air balloon, what factors are affecting it floating, etc. Clcik here to launch the simulation...
  26. S

    Is buoyancy possible without gravity?

    Hello, does bouyancy exist if there isn't the force of gravity but i push down the object in the water with my force? thanks!
  27. L

    Solve Buoyancy Problem: Estimate Balloon Radius for 6 Yr Old Boy

    Homework Statement A six year old boy weights about 25 kg. Estimate the radius of a spherical helium balloon capable of lifting the boy.Solution 2. Homework Equations V=(4/3)*pi*r^3. B= density of air* volume *g if in air The Attempt at a Solution the buoyancy must be greater...
  28. C

    Buoyancy and Harmonic Oscillation

    Homework Statement A cork with a density \rho0 in the form of a cube of side length l floats on water with a density of \rhow. The pressure in water depends on depth h from the surface as P=\rhow *g*h. A. Find the equilibrium depth of the bottom surface of the cube (how much length is below...
  29. A

    Calculate Distance Buoy Sinks w/ Man on Top

    Homework Statement A 810-kg cylindrical can buoy floats vertically in salt water. The diameter of the buoy is 0.900 m. Calculate the additional distance the buoy will sink when a 69.0-kg man stands on top. Homework Equations B = ρ{water}Vg The Attempt at a Solution I've tried this...
  30. T

    How Does Placement of Lead Affect the Buoyancy of a Wood Block?

    Homework Statement A block of wood has a mass of 3.84 kg and a density of 598 kg/m3. It is to be loaded with lead so that it will float in water with 0.89 of its volume immersed. The density of lead is 1.13 104 kg/m3. a)What mass of lead is needed if the lead is on top of the wood? b)What...
  31. C

    Does carbonation cause straws to float in water?

    So when i go to a restaurant and order a coke with no ice and the waitress brings it back with a straw in it the straw never stays in the glass. When i get it the straw is resting on the edge of the glass with the end barely in the coke, my guess is that it is held up with surface tension...
  32. S

    Buoyancy in Air-Filled & Vacuum Bottles: What's the Difference?

    Will there be any change in buoyancy in bottle full of air and vacuum bottle?
  33. M

    Buoyancy force calculation question

    Hi, I'd like to calculate the buoyancy force exerted on a gate in an intake channel (see picture in attachment). Since the gate is not totally surrounded by water, I guess that the normal buoyancy formula doesn't apply here, am I right ? Is there a rule of thumb for this kind of problem ...
  34. F

    Compute Buoyancy Force on Irregular 3D Model in Real Time

    Hi everyone, Its my first post and am not sure if my trivial question really deserves to be on this forum. But it is troubling me since few days and hence would really appreciate if someone help me out. I am computing the buoyancy force on an irregular shaped object (tessellated 3D model of...
  35. X

    Buoyancy of a Barrel in water.

    Homework Statement http://img6.imageshack.us/img6/5054/35229868.png Homework Equations The Attempt at a Solution [PLAIN][PLAIN]http://img600.imageshack.us/img600/5296/scan0002zw.jpg I've attached my solution to the problem. The only thing that's bothering me here is the gravity term in...
  36. T

    Buoyancy impulse turbine. Perpetual electricity. Is this possible?

    Although I'm sure people have been looking to develop a solution like this since the beginning of time (at least, the first use of electricity), I'm trying to achieve a design that will enable perpetual electricity generation without the addition of conventional energy inputs. Essentially, I'm...
  37. D

    Buoyancy of a pail of water problem

    I have a question, if a hung object is submerged in a pail of water, does the weight of the pail with water increase. The object is still hung and no water spills.
  38. A

    What is the correct density of the cork based on its buoyancy and weight?

    Homework Statement A large piece of cork weighs 0.224 N in air. When held submerged underwater by a spring scale as shown in Figure 13-27, the spring scale reads 0.672 N. Find the density of the cork.Homework Equations Fb=buoyant force The Attempt at a Solution i found mass by doing .224/9.8...
  39. A

    Static fluids; Density; Buoyancy

    Homework Statement A toy dinosaur floats on water in a container and is partially submerged with 90 % of its volume underwater (submerged). (a) What is the density of the dinosaur? I got this answer right. It is 900 kg/m^3 A layer of oil, with a density of 869 kg/m3, is now...
  40. E

    How Much of the Rod Is Submerged When Partially Made of Metal?

    Homework Statement one cm of a 10cm long rod is made of metal and the rest wood. Th metal has a density of 5,000kgm^3 and the wood has a density of 500kg/m^3. When the metal part points down ward, how much of the rod is underwater. Homework Equations water density = 1000kg/m^3...
  41. B

    Can a buoyant object achieve perpetual motion?

    Would a buoyant object be able to achieve perpetual motion or even past perpetual motion if it were in a machine as portrayed below?https://mail.google.com/mail/?ui=2&ik=93e42fc0d8&view=att&th=12ca0732e35fe2f9&attid=0.1&disp=inline&realattid=f_gh5sgy4n0&zw
  42. T

    Buoyancy and Weight of the Fluid Displaced

    Homework Statement A 500g mass is submerged in water, displacing 57.6mL of water. The force of gravity on the weight when submerged is measured to be 4.35N. The actual weight should be 4.9N. (remember that the density of water is 1000kg/m3) (the weight is being held in the water by a spring...
  43. H

    Buoyancy problem: Deriving an equation for volume of a floating object

    Homework Statement The problem consists of a ball almost completely submerged. The exact question is: "An object with density ρO and mass m is floating in a pool of fluid with density ρF. Derive an expression for the volume of the object that is above the fluid." Homework Equations...
  44. N

    Answering Buoyancy Questions: Are My Answers Correct?

    I have answered the following questions, but I will like to know if my answers are correct. Any help will be appreciate it. 1) one ice cube is placed in a glass of water. When the ice cube melts, does the water level rise, fall or stay the same. my answer: the water level rises. 2) a...
  45. B

    How far into the water a ship sits (buoyancy, draft)

    Homework Statement Consider a large cargo ship, with a steel (density = 7.5g/cc, 7500kg/m^3) hull. If I ignore the mass of the front and back of the ship, how far into the water (height) will the ship sit? Homework Equations density = m/v Force(buoyancy) = (density of fluid)(volume...
  46. H

    Buoyancy question about styrofoam

    Homework Statement The first part of the question states this: If we want to buoy a 0.137 kg solid platinum object in water with an attached string from above, what is the tension required to support the piece of platinum? The correct answer is: 1.28 Newtons. I got this by subtracting the...
  47. 1

    Buoyancy of a 4m x 4m platform

    Hello everyone, I am considering a project which involves buoyancy. The core component of the product is 4 meters by 4 meters (squared, solid platform) and approximately 30 cm high. This platform is supposed to float on a water surface, most likely lakes. Furthermore, the platform should...
  48. F

    Temperature/ buoyancy problem

    Homework Statement An iron cube floats in a bowl of liquid mercury at 0degrees C. a) If the temperature is raised to 30degrees C, will the cube float higher or lower in the mercury? b)By what percent will the fraction of volume submerged change? \beta mercury=180 X 10^-6 \betairon=35 X...
  49. P

    Understanding Buoyant Force Measurement with a Regular Scale | Explained

    Hi everyone this is my first post so forgive me if i leave out details A friend of mine tried to measure buoyant force by the following means Using a regular scale where the setup is sitting on top of it 1) Using a scale, he measured the object and found the scale to give x[grams] 2) Then...
  50. M

    Barge Buoyancy: Calculating Depth Change with Loaded Crate | Homework Help

    Homework Statement A rectangular barge, 5m long and 2m wide, floats in fresh water. Suppose that a 400-kg crate of auto parts is loaded onto the barge. Show that the barge floats 4cm deeper. Homework Equations Archimedes Principle P=m/v The Attempt at a Solution I know that the...
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