Calculating Ice Density: Buoyant Force Problem Explained

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SUMMARY

The discussion focuses on calculating the density of ice using the dimensions of an iceberg, specifically one that is 167 m tall and has a submerged thickness of 1.50 km. The density of seawater is provided as 1.025E7 kg/m³. Participants emphasize the importance of understanding the relationship between the volume of displaced water and the iceberg's dimensions to determine its density, highlighting that the problem primarily involves algebra rather than buoyancy principles.

PREREQUISITES
  • Understanding of basic algebraic principles
  • Knowledge of buoyancy concepts
  • Familiarity with density calculations
  • Concept of volume displacement in fluids
NEXT STEPS
  • Research the Archimedes' principle for buoyancy calculations
  • Learn about the relationship between density, mass, and volume
  • Explore methods for calculating the volume of irregular shapes
  • Study the properties of ice and seawater densities
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Students in physics or engineering, educators teaching fluid mechanics, and anyone interested in understanding the principles of buoyancy and density calculations related to ice and water interactions.

Twilit_Truth
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It's me again. This time I actually understand the material, I just need help with figuring this one out.


The tallest iceberg ever measured stood 167 m above the water. Suppose that both the top and bottom of this iceberg were flat and the thickness of the submerged part was estimated to be 1.50 km. Calculate the density of the ice. The density of sea water equals 1.025E7 kg/m^3.


Thank you for your time.
 
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What are you initial thoughts so far? How much water does the iceberg displace when it sinks 1.5km? What kind of volumes do we care about? What about the cross section of the iceberg, can that help at all?

This problem doesn't really have do much to do with bouyancy, only in principle, more so density and algebra if that helps at all.
 

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