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The overall force Fan object submerged in liquid experiences is,
F = ∮S(-)ρgzds, S is the submerged boundary of the object.
∵ ds = i(i⋅ds) + j(j⋅ds) + k(k⋅ds), i, j and k are unit vector in +x, +y and +z direction respectively.
∴ F = -ρg∮Sz(i(i⋅ds) + j(j⋅ds) + k(k⋅ds)) = (-ρg∮S(zi)⋅ds)i + (-ρg∮S(zj)⋅ds)j + (-ρg∮S(zk)⋅ds)k = (-ρg∮V∇⋅ (zi)⋅dv)i + (-ρg∮V∇⋅ (zj)⋅dv)j + (-ρg∮V∇⋅ (zk)⋅dv)k
∵ ∇⋅ (zi) = 0, ∇⋅ (zj) = 0, ∇⋅ (zk) = 1
∴ F = (-ρg∮Vdv)k =-ρgVk
The magnitude of the overall force (buoyant force) is ρgV, and the direction is -k.
--JF Hu
If the solid is less dense than water, it can be pushed until it is just submerged and the volume of water it displaces measured. Determine the mass by weighing it, divide the mass by the volume and you have the density.
If the solid is more dense than water, the difference in weight when it is suspended in air vs. suspended in water equals the volume times the density of water. You can determine the volume by the amount of water displaced, so the density is the mass over the volume, or the weight (in water) over g, plus the mass of water displaced, over the volume.
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How could you determine your mass using water a bathtubsomething to measure water with and Archimedes' princilpe?
First, measure the mass of the water in the bathtub using a scale. Next, immerse yourself completely in the water and measure the increase in water level using a measuring cup. This increase in volume of water displaced is equal to your body volume. Finally, apply Archimedes' principle which states that the buoyant force acting on an object is equal to the weight of the water displaced, to calculate your mass.
Can we use the quantity control of liqueur including perfume by using the Archimedes principle?
yes
How can you determine upthrust in water?
Upthrust, also known as buoyant force, can be determined by the weight of the water displaced by an object. The upthrust is equal to the weight of the water that is pushed aside by the object when it is submerged. This can be calculated using Archimedes' principle.
How can you determine if something will float or sink?
You can determine if an object will float or sink by comparing its density to the density of the fluid it is placed in. If the object is less dense than the fluid, it will float; if it is more dense, it will sink. By using Archimedes' principle, you can calculate the buoyant force acting on the object to determine its buoyancy.
What would happen if you dropped the object into the beaker while using the Archimedes' Principle method instead of submerging the object?
If you dropped the object into the beaker instead of submerging it, you would not be able to accurately measure the volume of the displaced water. The Archimedes' Principle method relies on the accurate measurement of the volume of water displaced by the object when it is fully submerged to determine its density. Dropping the object instead would introduce inaccuracies into the calculation.
What is the name of the process used by Archimedes to determine the volume of a sphere using equal weights?
It is called the method of equilibrium
How is the volume of an irregular solid measured?
By using Archimedes principle which is by immersing the object in water and noting its displacement by its apparent loss of weight when suspended on a balance
How do you know when an object will float by how much it weighs in grams?
You can determine if an object will float by comparing its weight to the weight of the fluid it will be placed in. If the object weighs less than the weight of the fluid it displaces, it will float. This can be calculated using Archimedes' principle.
What are the famous discoveries of Archimedes?
The Archimedes Screw, which is used for "pumping" water. The Archimedes Principle, which basically states that an object immersed in water, is buoyed up by a force equal to the weight of the fluid displaced by the object. He also described the principles of using a lever for lifting objects and remarked: "Give me a place to stand on, and I will move the Earth." He may have destroyed enemy ships by using a "heat ray" from concentrated sunlight He also made a lot of work in mathematics.
How do you test the purity of milk using Archimedes principle?
Lactometer is a device used for finding the purity of a milk sample. It works on the principle of Archimede's principle that a solid suspended in a fluid will be buoyed up by a force equal to the weight of the fluid displaced. If the milk sample is pure, then the lactometer floats on it and if it is adulterated or impure, then the lactometer sinks.
What did Archimede discover?
Archimedes discovered and invented several things throughout his life:Archimedes' principle (one of several apsects involving buoyancy).The Archimedean screw (a fluid-moving device).The block-and-pulley (using mechanical advantage to move loads with less effort).Inventing the odometer (a device that measures distance travelled by a vehicle).The relation of a circle's area to its radius (given by a mathematical relationship and a basic tool of modern mathematics).
Can you say that the volume of fluid displaced equals volume of immersed object by using Archimedes principle?
Yes, assuming that immersed object has no internal voids which the fluid cannot fill (e.g. a hollow sphere).
