Why is Specific Gravity (SG) Needed in This Buoyancy Calculation?

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SUMMARY

The discussion centers on the necessity of incorporating Specific Gravity (SG) in buoyancy calculations for a hollow cylinder submerged in ocean water. The correct buoyancy force formula is established as F = ρgLπR^2 ⋅ SG, where ρ represents the density of ocean water. The inclusion of SG accounts for variations in water density, which directly influences the buoyant force experienced by the submerged object. This clarification emphasizes the importance of understanding fluid properties in physics problems.

PREREQUISITES
  • Understanding of buoyancy principles in fluid mechanics
  • Familiarity with the concept of Specific Gravity (SG)
  • Knowledge of basic geometry for calculating volume
  • Grasp of the relationship between density, gravity, and buoyant force
NEXT STEPS
  • Study the derivation of Archimedes' principle in fluid mechanics
  • Learn how to calculate Specific Gravity for various fluids
  • Explore the effects of fluid density on buoyancy in different scenarios
  • Investigate applications of buoyancy in engineering and design
USEFUL FOR

This discussion is beneficial for physics students, engineering students, and professionals involved in fluid dynamics, particularly those focusing on buoyancy and material properties in submerged applications.

CyberneticsInside
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Homework Statement


[/B]
When asked for the bouancy of a hollow cylinder, containing air, submerged in ocean water.
outer radius R.
Length of cylinder = L
The Material of the cylinder is neglected.

I'm thinking the Bouancy (Force) = ρ ⋅ g ⋅ v
where v = LπR^2 and therefore F = ρgLπR^2

But the solutions manual states it is
F = ρgLπR^2 ⋅ SG, where SG is Specific gravity of ocean water.
Why do I need the SG part ?
 
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The density of the water affects the buoyancy of the object.
 
Hi CybernetcInside,

In future, please use the entirely of the formatting template to lay out your questions.

Did the book define what the variable ##\rho## stands for in its solution? You didn't define it in your work.
 

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