How to find out weight of 1m3 of iron and aluminium with the help of Archimedes's principle?
Answers:
With such a large quantity of ore you will have a problem using the two-beaker method. But the first two suggestions contain half the answer each. Just combine what they are saying.
You can calculate the density of a sample of any solid material by the following technique.
1. Place a beaker larger than sample inside a larger beaker.
2. Fill the inner beaker to the very lip with water.
3. Weight the sample to be tested.
4. Carefully place the sample in the inner beaker, letting the water it displaces flow into the larger beaker. If the sample floats, carefully press the sample down until it is completely covered with water.
5. Carefully remove the inner beaker from the outer beaker.
6. Weight the outer beaker with quantity the water displaced by the sample.
7. Completely empty and dry the outer beaker.
8. Weight the dry outer beaker.
9. Calculate the weight of the displaced water by subtracting the weight of the dry outer beaker from the weight of the outer beaker with the displaced water.
10. Calculate the density of the sample in metric tons per cubic meter by dividing the sample weight by the weight of the displaced water.
archaemedian law is based on displacement.
Choose a barge that can handle the weight. Notate the barge side in contact with the water. Place the 1 m3 of material and notate how much the barge has sunk in the water. Calculate the displaced volume of water and apply the unit weight of the water, the total will be equal to the 1 m3 of material loaded.
The problem with the first answer is that to work out the density you need the weight which is what you are after so it doesn't actually address the problem.
Archimedes' principle is normally used to determine volume of irregular shaped objects. An old translation is "when a solid is weighed in liquid and then in air there is an apparent loss in weight which is equal to the amount of liquid displaced"
Alex has it nailed with the barge idea, you don't want to measure how much your block displaces because you already know its volume, you want to measure how much downward force it experiences in air(its weight), and as Alex says stick it on a barge it will act against the Archimedian upthrust on the barge to an amount measured by the sinking of the barge.
Your problem is going to be finding a small enough barge because the aluminium is gonna weigh around 2.7 thousand kilogrammes , sounds a lot but most barges will hardly notice it on board so you will need a very calm day to measure the difference in floating depth.
Archimedes' Principal relates to volume, not weight. You have to actually weigh the object or substance to find its mass, then use displacement to find its volume. Then you can calculate the density.
But you already know the volume (stated in your question). So how do you find its weight? weigh it! Once you have that weight, you have the density. You can then determine the relative proportion of aluminium and iron knowing the densities of the two pure components.
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