Calculating Volume Using Buoyant Forces

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SUMMARY

The discussion focuses on calculating the volume of a cube using buoyant forces, specifically applying Archimedes's principle. The cube has a mass of 90.6g and a submerged mass of 58.5g, leading to a buoyant force of 32.1g. The density of water is established at 1.00g/cm³. Participants confirm the relationship between the buoyant force and the volume of the cube, emphasizing the application of Archimedes's principle in the calculation.

PREREQUISITES
  • Understanding of Archimedes's principle
  • Basic knowledge of buoyant forces
  • Familiarity with mass and density calculations
  • Ability to convert between grams and cubic centimeters
NEXT STEPS
  • Study Archimedes's principle in detail
  • Learn how to calculate buoyant force in different fluids
  • Explore the relationship between mass, volume, and density
  • Practice problems involving buoyancy and submerged objects
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Students studying physics, educators teaching buoyancy concepts, and anyone interested in fluid mechanics and volume calculations.

F2m185
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I haven't done Physics in some time now and have forgotten how to do some rather simple calculations it seems.

I am trying to calculate the volume of a cube (in cm^3) using the buoyant force of the cube when submerged into water. The given density of water I am using is 1.00g/cm^3 or 1000 kg/m^3. The mass of the cube is 90.6g, and 58.5g submerged.

The buoyant force is 32.1g. Am I missing something here?

Any help?
 
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F2m185 said:
The mass of the cube is 90.6g, and 58.5g submerged.
I assume you mean that the apparent weight of the submerged cube equals the weight of a 58.5g mass.

The buoyant force is 32.1g. Am I missing something here?

Any help?
So far, so good. (With a similar comment as above.) So what's the volume of the cube? (Hint: Archimedes's principle.)
 
Doc Al said:
I assume you mean that the apparent weight of the submerged cube equals the weight of a 58.5g mass.


So far, so good. (With a similar comment as above.) So what's the volume of the cube? (Hint: Archimedes's principle.)

Thank you for the help!
 

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