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How Does Upthrust Depend On Acceleration Due To Gravity?

Upthrust (or buoyant force) depends on the acceleration due to gravity, but not in a direct or proportional way. The buoyant force is given by Archimedes’ principle, which states that the upthrust acting on an object submerged in a fluid is equal to the weight of the fluid displaced by the object.

The formula for upthrust (buoyant force) is:

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     Fbuoy=ρVg

Where:

  • is the buoyant force (upthrust),
  • ρ is the density of the fluid,
  • V is the volume of the displaced fluid,
  • g is the acceleration due to gravity.

So, while upthrust does depend on g (because gravity influences the weight of the displaced fluid), the upthrust force increases as gravity increases, since it’s directly proportional to g.

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In different locations (such as on Earth vs. on the Moon, where gg differs), the upthrust would change accordingly. However, for typical Earth-bound scenarios, this change in upthrust would be relatively small since gg is nearly constant.

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