What is the volume of the wood immersed in the water-filled flask?

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SUMMARY

The discussion focuses on calculating the volume of a piece of wood with a density of 730 kg/m³ that is fully immersed in water, with a tension of 1.09 N acting on it. Key forces include gravity, buoyancy, and tension, which must be analyzed to establish their relationships. A free body diagram is essential for visualizing these forces and formulating a force balance equation. The interaction of these forces leads to the determination of the wood's volume using principles of fluid mechanics.

PREREQUISITES
  • Understanding of fluid mechanics principles
  • Knowledge of free body diagrams
  • Familiarity with force balance equations
  • Basic concepts of density and buoyancy
NEXT STEPS
  • Study Archimedes' principle and its applications
  • Learn how to construct and analyze free body diagrams
  • Explore the relationship between density, volume, and mass
  • Investigate tension forces in submerged objects
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Students in physics, engineers working with buoyancy calculations, and anyone interested in fluid dynamics and mechanics.

Callie
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Moved from a technical forum, so homework template missing.
A piece of wood with a density of 730 kg/m3 is tied with a string to the bottom of a water-filled flask. The wood is completely immersed, and the tension in the string is 1.09 N. Find the volume of the wood.
 
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My opinion:
Observe that the forces acting on the wood contain the gravity, the buoyancy and the tension. Try to find out their relation.
 
Callie,

Have you drawn a free body diagram on the piece of wood showing the forces acting on it? Can you name these forces? Are you able to write a force balance equation on the piece of wood (based on the free body diagram)?

Chet
 

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