Free · Physics models

Immersed Object Apparent Weight

Connect object mass, displaced volume, fluid density and apparent weight under complete immersion.

  • Formula & worked example
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Calculator inputs

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How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

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Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.

Formula and method

A 0.001-cubic-meter object at density 2,000 kg/m³ has mass 2 kg; water buoyancy is 9.80665 N and its apparent weight is 9.80665 N.

Buoyancy = displaced volume×fluid density×g; apparent weight = true weight−buoyancy.

Worked example

Enter these known values and leave the other values blank.

Volume of the object
.001 m³
Density of the object
2000 kg/m³
True mass of the object
2 kg
True weight of the object
19.613 N
Apparent mass of the object
1 kg
Apparent weight of the object
9.807 N
Density of the fluid
1000 kg/m³
Volume of the fluid displaced
0.001 m³
Mass of the fluid displaced
1 kg
Force of buoyancy
9.807 N

Assumptions and limitations

  • The captured identity equates object volume and displaced volume, so this calculation represents complete immersion. A floating object normally displaces only part of its volume.
  • Fluid selections retain nominal captured densities without specified temperature/composition; Custom allows an entered density. Negative apparent weight means an upward restraint would be needed for complete immersion.
  • Surface tension, compressibility, drag and partially immersed geometry are omitted.
  • Clear the unknown numerical field before using a supported inverse; selection controls retain their captured branches.

Common questions

What assumptions matter for this model?

The captured identity equates object volume and displaced volume, so this calculation represents complete immersion. A floating object normally displaces only part of its volume.

What does this model leave out?

Surface tension, compressibility, drag and partially immersed geometry are omitted.

References

Model requirements: Object density must be positive. Immersed volume must be positive.

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