Measuring Buoyancy: How to Calculate Upward Force

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SUMMARY

The upward force of buoyancy can be calculated using Archimedes' principle, which states that the buoyant force is equal to the weight of the fluid displaced by the object. For a beach ball submerged in water, the force required to push it underwater is approximately equal to the weight of the water displaced, minus the weight of the beach ball itself, which is negligible. To achieve accurate measurements, one must consider the compressibility of the beach ball, as it will displace less water when compressed. Using a spring scale can provide a practical method to measure this force directly.

PREREQUISITES
  • Understanding of Archimedes' principle
  • Basic knowledge of buoyancy and fluid mechanics
  • Familiarity with measuring forces using a spring scale
  • Concept of volume displacement in fluids
NEXT STEPS
  • Research Archimedes' principle in detail
  • Learn how to calculate buoyant force for various shapes and sizes of objects
  • Explore methods for measuring fluid displacement accurately
  • Investigate the effects of compressibility on buoyancy in different materials
USEFUL FOR

Students in physics, engineers working with fluid dynamics, and anyone interested in understanding the principles of buoyancy and force measurement in liquids.

thetexan
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When I take a beachball and force it underwater it is almost impossible due to the upward force of the buoyancy. Is there a way to determine what that upward force is based on volume of the object, or viscosity of the liquid (including air and balloons).

How does one figure that? Since the weight of the object being "floated" is equal to the volume of the water displaced wouldn't the force to push the beach ball underwater equal to the weight of the water displaced by the ball in units of force instead of weight?

tex
 
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thetexan said:
When I take a beachball and force it underwater it is almost impossible due to the upward force of the buoyancy. Is there a way to determine what that upward force is based on volume of the object, or viscosity of the liquid (including air and balloons).

How does one figure that? Since the weight of the object being "floated" is equal to the volume of the water displaced wouldn't the force to push the beach ball underwater equal to the weight of the water displaced by the ball in units of force instead of weight?

tex

Your question is confusing. Are you looking for a way to calculate the buoyant force, or are you trying to find a way to measure the buoyant force?

If the former, then I'll first ask you if you are familiar with Archimedes principle. If it is the latter, attach a spring to the balloon the measure the pull on the spring when they are all under water.

Zz.
 
thetexan said:
wouldn't the force to push the beach ball underwater equal to the weight of the water displaced by the ball
Yes (minus the weight of the ball, negligible for a beach ball).
 
The calculation of the weight of the displaced water should be about right. If you want accuracy, weigh the beachball and subtract it. Remember that the beachball is compressible, so it will displace less water than if you measure it's size in the air. (I don't know how big the difference is.)
 

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