How do shape and volume affect buoyancy

We can derive a quantitative expression for the fraction submerged by considering density. The fraction submerged is the ratio of the volume submerged to the volume of the object, or. Since the object floats, its mass and that of the displaced fluid are equal, so they cancel from the equation, leaving. Suppose a What is her average density? A less obvious example is mountain ranges floating on the higher-density crust and mantle beneath them. Even seemingly solid Earth has fluid characteristics.

One of the most common techniques for determining density is shown in Figure. An object, here a coin, is weighed in air and then weighed again while submerged in a liquid. The density of the coin, an indication of its authenticity, can be calculated if the fluid density is known. We can use this same technique to determine the density of the fluid if the density of the coin is known. The object suffers an apparent weight loss equal to the weight of the fluid displaced.

Alternatively, on balances that measure mass, the object suffers an apparent mass loss equal to the mass of fluid displaced. That is, apparent weight loss equals weight of fluid displaced, or apparent mass loss equals mass of fluid displaced. More force is required to pull the plug in a full bathtub than when it is empty. Explain your answer. Not at all. The reason that the full tub requires more force to pull the plug is because of the weight of the water above the plug.

Will the same ship float higher in salt water than in freshwater? The buoyant force is equal to the weight of the fluid displaced. The greater the density of the fluid, the less fluid that is needed to be displaced to have the weight of the object be supported and to float. The buoyancy force does not depend on the shape of the object, only on its volume. A flat bottom is best, with sides to keep out the water and a large surface area that touches the water.

Boats with lots of surface area are very wide, with lots of space inside. When pennies are added, the boat will float if the combined density of the pennies and the boat is still less than that of the water. The shape of the hull allows the boat to displace a volume of water equal to the weight of the boat. Since much of the submerged area is air, the average density total mass of the boat divided by the volume of water displaced is less than that of water, thus allowing it to float.

Keeping this in view, what does whatever floats your boat mean sexually? When you respond, please include your name so I can give credit, thanks!

Does the density of a solution affect the buoyancy of an object? Is there a definite way that an object will be guaranteed to float? If so, what is it? Does the shape of the object affect its ability to float? Does the object's material affect its ability to float? What factors will improve an object's ability to float? Answer 1: Rather than just giving a short answer to each question, I thought I'd discuss the topic in a more general way so you can hopefully!

Question 1 and 4 To visualize this, let's imagine a wood cork. This effect is due to the loss of the buoyant support of the water. What creates this buoyant force? Why is it that some things float and others do not? Do objects that sink get any support at all from the fluid? Is your body buoyed by the atmosphere, or are only helium balloons affected?

We find the answers to the above questions in the fact that in any given fluid, pressure increases with depth. When an object is immersed in a fluid, the upward force on the bottom of an object is greater than the downward force on the top of the object.

The result is a net upward force a buoyant force on any object in any fluid. The buoyant force is always present in a fluid, whether an object floats, sinks or remains suspended. The buoyant force is a result of pressure exerted by the fluid. The fluid pushes on all sides of an immersed object, but as pressure increases with depth, the push is stronger on the bottom surface of the object than in the top as seen in. For example, consider the object shown in. The magnitude of the force on the top surface is:.

Thus, the net upward force on the cylinder due to the fluid is:. Although calculating the buoyant force in this way is always possible it is often very difficult. A simpler method follows from the Archimedes principle, which states that the buoyant force exerted on a body immersed in a fluid is equal to the weight of the fluid the body displaces.

In other words, to calculate the buoyant force on an object we assume that the submersed part of the object is made of water and then calculate the weight of that water as seen in. Archimedes principle : The buoyant force on the ship a is equal to the weight of the water displaced by the ship—shown as the dashed region in b.

The reasoning behind the Archimedes principle is that the buoyancy force on an object depends on the pressure exerted by the fluid on its submerged surface.

Imagine that we replace the submerged part of the object with the fluid in which it is contained, as in b. The buoyancy force on this amount of fluid must be the same as on the original object the ship.