Buoyancy Definition and 413 Threads

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. L

    Archimedes Principle and Buoyancy

    Homework Statement A 100g object having a density less than that of water is placed into a beaker half full of water. The beaker is then placed on a triple beam balance. Would be measured weight be equal to, greater than, or less than the weights of the water, the beaker, and the object added...
  2. A

    How Do You Calculate the Density of a Partially Submerged Cube?

    Homework Statement A cube of side length 3 cm floats in water (density = 1g/cm^3) with 1 cm floating above the water. What is the density of this cube? Homework Equations Fbouyant = ρfluid*g*Vsubmerged Fg= mg The Attempt at a Solution I am having problems figuring out what the...
  3. T

    Buoyancy, depth a block will sink in two different liquids

    Homework Statement 4. The bottom half of a tank is filled with water (ρ = 1.0 x 103 kg/m3), and the top half is filled with oil (ρ = 0.85 x 103 kg/m3). Suppose that a rectangular block of wood of mass 5.5 kg, 30 cm long, 20 cm wide and 10 cm high is placed in this tank. How deep will the...
  4. W

    How Does Depth Affect the Buoyant Force on a Submerged Beach Ball?

    A beach ball is made of thin plastic. It has been inflated with air, but the plastic is not stretched. By swimming with fins on, you manage to take the ball from the surface of a pool to the bottom. Once the ball is completely submerged, what happens to the buoyant force exerted on the beach...
  5. KiNGGeexD

    Buoyancy - block of concrete is being raised from a lake

    Buoyancy -- block of concrete is being raised from a lake Question; A 50kg block of concrete is being raised from a lake. What fraction of its weight in air is required to lift it while submerged? My attempt, I'm pretty sure this question pertains to Archimedes principle I calculated the...
  6. C

    How Much of the Granite Rock Ball Must Be Submerged to Float?

    1. At Lagoon, there is a large granite rock ball that is supported by water pressure, so people can spin the rock. The diameter of the rock is 1.3m. Granite has a density of 2691kg/m^3. Let’s assume a water pressure if 50 lbs/in^2. Calculate the area of the ball that must be in the water...
  7. P

    Effects of Temperature on a Balloon's Buoyancy?

    Homework Statement Very large air bags are used to lift instruments for high altitude measurements as shown in the image below. At ground level the bag is only partially filled with helium, just buoyant enough to rise. A) As the balloon rises, describe what happens to the magnitude of the...
  8. J

    Exploring Buoyancy & Wind Effects on a Weather Balloon

    Hello there, A weather balloon is released, and its acceleration in the z-x-plane, a is governed by a buoyancy force, B, which is constant in the k-direction. gravitational acceleration, 9.81 m/s^2, in the k-direction, and FD, which is is like this: F_D = -D|\vec{v}|\vec{v} where D is some...
  9. gfd43tg

    What is the Weight of the Capsized Battleship Oklahoma at Pearl Harbor?

    Homework Statement The battleship Oklahoma was attached at Pearl Harbor by Japanese dive bombers. The ship was hit by multiple torpedoes and capsized (rolled 180 degrees so the bottom of the hull pointed straight up). The final orientation of the ship had 20 percent of its height above the...
  10. G

    Does Depth Affect the Hovering of a Neutrally Buoyant Object?

    I believe that I am making this a bit harder than it should be. An object is weighted so that it "hoovers" 5 feet underwater. It is neutrally buoyant. A diver drags the object even deeper without adding weight, she releases the object at a deepth of 100ft. Will the object stay put, rise up...
  11. H

    Why Does a Balloon Fall Up in an Elevator?

    Imagine you are in an elevator accelerating downwards with acceleration g, holding a balloon (which would fly upwards if left outside). Now if the thread you are holding snaps, what will happen to the balloon? Since the acceleration felt inside the elevator is 0, the balloon should not...
  12. F

    Solving the Mystery of Denser Ball in Water: Buoyancy & Density

    I have a rather simple question which I can't seem to find an answer to If I have two balls, one denser than the other, but of same volume, and let them float on water, would the denser one float deeper in the water? The water is the same and the density of the two balls are less than the...
  13. H

    How Is Buoyancy Calculated for a Cubical Block Floating in a Denser Liquid?

    Homework Statement A cubical block of density ρb with sides lengths L floats in a liquid of greater density ρL. (A) what fraction of the blocks volume is above the surface of the liquid? (b) the liquid is denser than water (density ρw) and does not mix with it. If water is poured on the...
  14. H

    How to Calculate the Longitudinal Center of Buoyancy for a Blimp Model?

    I am looking to calculate the center of buoyancy of a model blimp envelope. I have calculated various cross sections of the envelope to get the total volume (and thus the lift) and surface area. By center of buoyancy I mean the point that one could tie a string and add a weight and the...
  15. T

    True/False -ish question, buoyancy

    Homework Statement For each statement, select the phrase that makes the statement true (e.g., if the answer to the first is A and to the others B, enter ABBBB): A) increases B) decreases C) less than D) greater than E) stays the same F) the same as A boat containing a cement...
  16. Boxlife27

    Calculating Tension & Buoyancy in Water

    Hello, if I were to suspend a rubber stopper into a graduated cylinder filled with water, with the stopper half in the h2o and half out of it, how would i calculate the tension in the string? Experimentally, i would collect the displaced volume, density (1000kg/m3), and mass of stopper. I am...
  17. S

    Can electrolysis provide buoyancy to submerged machines?

    I am looking at building a machine that roams underwater, most always completely submerged. I would like at one point for the device to return to the surface and was wondering if it is possible to use electrolysis to turn the water into gas enough to provide buoyancy that would lift the machine...
  18. W

    Buoyancy of a piece of wood floating in water

    Homework Statement A piece of wood floats in water with 65% of its volume under water.Find the relative density of the wood. Homework Equations Buoyancy = (Weight of object) / (Relative density of object) The Attempt at a Solution B = W/s 1= .65/s s = .65/1...
  19. P

    Does the gas inside a balloon affect the buoyancy?

    There's something that I don't understand about the buoyancy formula. Is the buoyancy defined by the density of the gas inside a balloon multiplied by the volume of the balloon and multiplied by the gravitational acceleration? Or Is the buoyancy defined by the density of the air...
  20. J

    A simple pump driven by buoyancy

    I'm a bit lost getting started analyzing the following system, a pump of sorts: http://i.imgur.com/P82vtZ1.png It consists of a vertically-orientated tube submerged in water with heating elements around the middle. Heat energy goes in, causing a temperature difference which drives a...
  21. P

    Does Inhaling Air Increase Your Weight on a Scale?

    I was having a discussion with a friend and we could not come to an agreement on the following: If you were to weigh yourself on a very sensitive set of scales, would you register the amount of air that you breathe in as an increase in measured weight? The way I see it is, you can make one...
  22. K

    Buoyancy Situation Doubt - Archimedes Principle

    Hi to all, i will appreciate your help in this. This is the situation: I have a tank, with a water column in it. This tank at the bottom has an "ideal" seal (a seal that permit the passing of object from bottom to upwards, but not the water to fall down.) In this system i have sphere with...
  23. Z

    FBD of Hot Air Balloon and Buoyancy

    Homework Statement I want to find all acting forces on a hot air balloon rising form the ground. Volume and mass of balloon are given. Homework Equations F=mg F_{b}=ρVg The Attempt at a Solution Here is my free-body diagram; There are three acting forces: 1) F_1 = mg...
  24. J

    Calculate Raft Buoyancy Depth | Density, Volume & Pressure Formula

    Homework Statement A raft is constructed of wood having a density of 625 kg/m^3. It's surface area is 5.5 m^2, and it's volume is 1.5 m^3. When the raft is placed in fresh water (denistiy = 1000 kg/m^3), to what depth, h, is the raft submerged under the water? Homework Equations P =...
  25. R

    Buoyancy force and surface tension

    The buoyancy force is defined as the difference in pressures on the top and bottom of an object submerged in a fluid. When an object is pushing on the top surface of a fluid from underneath, the force of surface tension begins to act downward on the object, preventing it from breaking the...
  26. E

    How Hot Must the Air in a Balloon Be to Lift a Given Mass?

    Homework Statement I have a balloon with a volume of 500m3 Outside air temp of 300K Mass to lift of 300kg Molar mass of air is 28 g/mol (I didn't end up using this) I am to find the temperature inside the balloon to barely lift the given mass. I have apparently forgotten everything...
  27. P

    Buoyancy and Archimedes Principle, volume ratio/density question

    A geode is a hollow rock with a solid shell and an air-filled interior. Suppose a particular geode weighs twice as much in air as it does when completely submerged in water. If the density of the solid part of the geode is 3100 km/m^3 , what fraction of the geode's volume is hollow? The...
  28. V

    Buoyancy (Archimede's Principle) Problem

    Question: Suppose a person weighing 530 Newtons is floating in a salt lake (concentration of 20% NaCl) with a specific gravity of 1.148. How much less of the person's body would be in the salt water as compared to if he were floating in ordinary water (w/ density 1.00g/cm^3)? Comment: One...
  29. A

    How do wind and air pressure affect a house's roof?

    Homework Statement A house has a roof with an area of 220 m2. Wind blows over the top with a speed of 10 m/s. The density of air is 1.29 kg/m2. The air inside the house is stagnant. Point A is just inside the roof, and point B is outside the roof at the same height. (a) What is the...
  30. A

    How Does Nozzle Elevation Affect Water Flow and Pressure in a Hose System?

    Homework Statement Consider a hose that carries water (density = 1000 kg/m3) leads to a nozzle that is elevated h = 1.3 meters above the ground. The nozzle has a diameter d, and the hose has a diameter D = 5d. Water flows through the hose with a speed vH = 0.6 m/s. (a) What is the...
  31. M

    Basic Buoyancy problem and analysis help

    Homework Statement A slab of ice floats on a freshwater lake. What minimum volume must the slab have for a 49 kg person to be able to stand on it without getting his or her feet wet? (use 920kg/m^3 as density of ice and 1000 kg/m^3 for the density of freshwater) Homework Equations...
  32. T

    Buoyancy Correction: Is Equation 1 Correct?

    Is this equation correct? equation 1: mass=density(density-density) Im asking this because in air correction we have equation 2: mass=density(density-density)/density(density-density) -----here we get mass.But get we mass still in this case?:mass=density(density-density) Because I was trying to...
  33. P

    How to Approach Buoyancy Force in Fluid Mechanics Homework?

    Homework Statement I've attached the problem I'm kind of lost as to how to even start this problem. For part ) I think my first approach is to sum up forces in the vertical direction. Which would yield F-W1-W2=ma=0 Where: F=buoyancy force W1=weight of submerged volume of oak...
  34. G

    Buoyancy to find mass, density and force to submerge

    Homework Statement A plastic cube, 200mm x 200mm x 200mm, is left in a cylindrical container that has a diameter of 400mm holding sea water, density 1024kg/m^3. The level in the container increases by 30mm as the block floats. i) Find the mass and density of the cube. ii) Find the extra...
  35. M

    Buoyancy Problem: Slab of Ice on Water

    1. A slab of ice floats on a freshwater lake. What minimum volume must the slab have for a 45.0 kg woman to be able to stand on it without getting her feet wet? 2. Archimedes Principal as well as Newton's Second Law will be applied The Attempt at a Solution I know that the...
  36. M

    Understanding Buoyancy: The Role of Object Shape and Archimedes' Principle

    I had read that, according to Law of Buoyancy/Archimedes Principle, "Any object, wholly or partially immersed in a fluid, is buoyed up by a force equal to the weight of the fluid displaced by the object." But does that depend on the shape of the object immersed? I see, that a metal block...
  37. M

    Is T=PV-M the Correct Formula for Calculating Buoyancy in Water?

    I believe that T=PV-M. P is density of fluid surrounding the object, v is volume of object and M is the mass of object. So i have this object which is able to float due to air trapped inside it. This object is able to carry an extra load of 10 kg. So my formula would be, T= [p*(vol of...
  38. M

    Is a 15kg object capable of generating 147N upward force in water?

    I believe that the way to calculate buoyancy is buoyancy force-weight of object= upward force, which is PVg-mg= upward force. If I'm wrong please tell me. I set a target of 147N(15kg) upward force for my project product. Is it that strong? Give me your thoughts.
  39. shinnsohai

    Buoyancy and Archimedes's Principle Based Question

    I've this to be handed in by tomorrow Please give some guidelines... I think that my working is completely wrong ! Homework Statement An empty cylinder bucket, 30cm in diameter and 50cm long, whose wall thickness and weight can be considered negligible is forced, open end first, into water...
  40. M

    Air pressure at water depth and buoyancy

    I'm doing a project that requires a platform that is able to float up and down a water depth of 0-100m. It'll be pulled down by a fishing line. I'm currently using air as buoyant. This air will be trapped in a container. However there is air pressure at a certain water depth. The air will...
  41. M

    Buoyancy - Maximum mass a styrofoam sphere can hold in water.

    Homework Statement Styrofoam has a density of . What is the maximum mass that can hang without sinking from a 20.0 -diameter Styrofoam sphere in water? Assume the volume of the mass is negligible compared to that of the sphere. Homework Equations FB = ρfVg Fg = mg The Attempt at a...
  42. M

    Understanding Absolute Pressure Changes in a Simple Buoyancy Problem

    Homework Statement An object suspended in water is lifted out of the water. How does the absolute pressure at the bottom of the water change? Homework Equations The Attempt at a Solution Wouldn't the absolute pressure not change if the object is still directly over the water...
  43. K

    Buoyancy and Density Archimedes

    Homework Statement 1. a 300kg object is placed upon a block of ice what volume of ice is needed to keep the object fully above water. 2. if the object density is .94gcm ^-3 what volume of the object remains above water on ice half the size. 3. What volume of the object remains above water...
  44. K

    Buoyancy force on the partially submerged object

    Archimedes's principle says that the buoyancy force would be equal to the weight of the fluid displaced by the body. It's easy to work with the completely submerged object since I just need the whole volume of the object to as it is equal to the volume of displaced fluid. However, if an object...
  45. S

    Does Equal Apparent Weight Affect Buoyancy and Mass in Submerged Boxes?

    Buoyancy, Volume, Mass..Please Help! a) If 2 boxes have the same apparent weight when submerged in stationary fresh water, and V1 (the volume of box 1) is greater than V2 (the volume of box 2) would the buoyancy of box 1 be greater than box 2 and masses be equal?? If not, would be relationship...
  46. H

    Tricky Buoyancy Problem Involving Water Levels

    I'm trying to work through the below problem but it is a bit tricky and I would love any helpful tips: A boat with a lead block on it is sitting in a pool. On the side of the boat is a red line right at the water level. On the side of the pool is a blue line right at the water level. The...
  47. F

    Do Mass and Friction Affect Velocity on an Inclined Plane?

    1.) if there are two blocks of different masses rolling down an inclined plane, will their velocity be same? if so then how? there's no friction between the plane and the blocks. 2.) there is a plastic boat in a tub, filled with metal rods. if the metal rods are taken out of the boat and put...
  48. J

    Conceptual Question about Buoyancy

    Say that I have two objects of the same mass and volume. I place one into freshwater and another in glycerine. In both cases, the objects are floating. Would the buoyant force from both of these fluids acting on the object be the same? From my understanding, buoyant force measures the weight...
  49. I

    Exploring Magnetic Buoyancy: A Comprehensive Online Guide

    Could anyone suggest an online-reference about the basics? I'm trying to figure out whether there would be such buoyancy in a complicated situation.
  50. S

    Power generation using buoyancy, gravity and compressed air

    Hi all, this is my first post. I was wondering if it would be possible to use a deflatable/inflatable bladder inside a housing with an air valve at the top and bottom of said bladder secured through the housing. The housing material would be heavy, placticised metal or stainless steel. This...
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