How Do You Calculate Apparent Weight and Buoyant Force?

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SUMMARY

The discussion focuses on calculating apparent weight and buoyant force for submerged objects. A 0.0200 kg metal object with a density of 4.000 g/cm³ is analyzed for its apparent weight in oil with a density of 1.500 kg/dm³. Additionally, a metal cylinder with a volume of 2150 mm³ is examined for buoyant force in a liquid with a density of 0.900 kg/dm³. Key errors identified include incorrect unit conversions and the need to apply Archimedes' principle for accurate calculations.

PREREQUISITES
  • Understanding of Archimedes' principle
  • Knowledge of unit conversions between g/cm³ and kg/dm³
  • Familiarity with buoyant force calculations
  • Basic physics equations related to weight and density
NEXT STEPS
  • Review Archimedes' principle and its applications
  • Practice unit conversions between different density measurements
  • Learn how to calculate buoyant force using the formula: Buoyant Force = Volume × Density of Fluid × g
  • Explore examples of apparent weight calculations in various fluids
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Students studying physics, particularly those focusing on fluid mechanics, as well as educators and tutors seeking to clarify concepts related to buoyancy and weight in fluids.

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Homework Statement



1) A 0.0200 kg metal(density=4.000 g/cm^3) object is suspended from a thead and is submerged in a jar of oil(density=1.500 kg/dm^3) What is the apparent weight in the thread) For this one I keep doing this one but I think I am getting it wrong because of my conversion

2)A metal cylinder has a voluem of 2150 mm^3. Find the buoyant force when it is completely submerged in a liquid that has a density of 0.900 kg/dm^3 For this one Idk y my answer is wrong but can someone explain 2 me because I think this one I'm getting wrong because of my units but please show me the steps on how 2 solve this problem

Homework Equations





The Attempt at a Solution



1)(1500 kg/m^3)(40 kg/m^3)(9.80 m/s^2)

2)(800 kg/m^3)(2.150 m^3)(9.80 m/s^2)
 
Last edited by a moderator:
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First, 4g/cm^3 does not equal 40 kg/m^3.

Second, you need the denssity of your oil.

Third, read about that old Greek, Archimedes.
 

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