Hydrostatics and fluid mechanics

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SUMMARY

The discussion centers on calculating the reading of a spring balance for a glass cube with a length of 2 cm and a specific gravity of 3, which is half-immersed in water. The user initially calculated the reading as 23.8 gm wt but questioned its accuracy. The volume of the cube is 8 cm³, with 4 cm³ submerged, leading to a weight of water displaced of 4 gm wt. Additionally, a surface tension force of 0.2 gm wt is introduced into the calculations, affecting the final reading on the spring balance.

PREREQUISITES
  • Understanding of hydrostatics principles
  • Knowledge of specific gravity and buoyancy
  • Familiarity with surface tension concepts
  • Basic skills in fluid mechanics calculations
NEXT STEPS
  • Study the effects of surface tension on buoyancy in fluids
  • Learn how to apply Archimedes' principle in complex scenarios
  • Explore the relationship between specific gravity and fluid displacement
  • Investigate the impact of contact angle on surface tension calculations
USEFUL FOR

This discussion is beneficial for students in physics, particularly those studying fluid mechanics and hydrostatics, as well as educators looking for practical examples of buoyancy and surface tension effects.

Lorna18
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Homework Statement



A glass cube of length 2cm and specific gravity=3 is kept suspended via a spring balance and is kept exactly half immersed in water. surface tension of water is 75 dynes/cm. find the reading shown by the spring balance. (contact angle = 0 degree. g=1000cm/sec^2)
i got 23.8 gm wt but the answer seems to be wrong


Homework Equations





The Attempt at a Solution


vol of glass cube = 8cm^3
vol of the part immersed is 4m^3weight of water displaced = 4*1gm wt
 
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Welcome to PF!

Hi Lorna18! Welcome to PF! :smile:
Lorna18 said:
A glass cube of length 2cm and specific gravity=3 is kept suspended via a spring balance and is kept exactly half immersed in water. surface tension of water is 75 dynes/cm. find the reading shown by the spring balance. (contact angle = 0 degree. g=1000cm/sec^2)
i got 23.8 gm wt but the answer seems to be wrong

You seem to have a surface tension force of 0.2 gm wt …

how did you get that? :smile:
 

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