Calculating the buoyant force on a cube

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SUMMARY

The buoyant force acting on a submerged cube with a volume of 0.78 m³ and a mass of 328 kg can be calculated using Archimedes' Principle. According to this principle, the buoyant force is equal to the weight of the fluid displaced by the submerged object. Given that the density of water is approximately 1000 kg/m³, the buoyant force is determined to be 7,800 N, calculated as the product of the volume of the cube and the density of water.

PREREQUISITES
  • Understanding of Archimedes' Principle
  • Basic knowledge of fluid mechanics
  • Ability to calculate weight using mass and gravitational acceleration
  • Familiarity with units of measurement (m³, kg, N)
NEXT STEPS
  • Study the applications of Archimedes' Principle in various fluid scenarios
  • Learn about the calculation of buoyant forces for different shapes and densities
  • Explore the relationship between mass, volume, and density in fluid mechanics
  • Investigate real-world applications of buoyancy in engineering and design
USEFUL FOR

Students studying physics, particularly those focusing on fluid mechanics, as well as educators and professionals involved in engineering and design related to buoyancy and fluid dynamics.

RichardCash
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Homework Statement


A cube, with a volume of 0.78 m3 is submerged in a swimming pool. What is the buoyant force acting on the object if it has a mass of 328 kg?


Homework Equations





The Attempt at a Solution

 
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Hello? What is the weight of the cube? Haven't you studied Archimedes Principle?
 

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