Two aluminum cylinders of the same volume are suspended in the balance beam. Will the balance of the balance
| May 27, 2021 | education
Two aluminum cylinders of the same volume are suspended in the balance beam. Will the balance of the balance be disturbed if one cylinder is placed in water and the other in alcohol?
1. Let’s find the force of Archimedes, acting on an aluminum cylinder in water.
Fa1 = ρw * g * V1
where ρw is the density of water
2. Let’s find the force of Archimedes, acting on an aluminum cylinder in alcohol.
Fa2 = ρsp * g * V2
where ρsp is the density of alcohol.
3. Since V1 = V2 and ρw> ρsp, then, respectively, Fa1> Fa2
Answer: the balance of the scales will be violated, since the force, Archimedes, acting on an aluminum cylinder in water is greater than the Archimedes force acting on an aluminum cylinder in alcohol
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