Archimedes Principle Calculator. Calculate the buoyant force of an object using this Archimedes calculator.
Definition:
Archimedes Principle that, the apparent upward force (buoyancy) of a body immersed in a fluid is equal to the weight of the displaced fluid.
Archimedes Principle formula:
F = V * g * (ρf - ρ0)
Where,
- F: Buoyant force of the object
- V: Volumen of the Object
- ρ0: Density of the fluid
- ρf: Density of the object
- g: acceleration due to gravity, is 9.80665m/s^2
Archimedes Principle Calculator:
Example:
What volume of brass of density 8.5 g/cm³ must be attached to a piece of wood of mass 100 g and density 0.2 g/cm³ so that the two together will just submerge beneath water?
Solution:-
Solution:-
The brass and wood together will just submerge when the average density of the whole is equal to that of water ( 1 g/cm³).
Let the volume of the brass = V ( in cm³), the mass of the brass =8. 5 V ( in g), the volume of the wood = 100/0.2= 500 cm³ and mass of wood = 100 g
For an average density of 1 g /cm³ the total mass bust be numerically equal to the total volume.
Hence,
100 + 8.5 V = 500 + V
Rearranging 7.5 V = 400
or V = 400/7.5 = 53.3 cm³ of brass.
For an average density of 1 g /cm³ the total mass bust be numerically equal to the total volume.
Hence,
100 + 8.5 V = 500 + V
Rearranging 7.5 V = 400
or V = 400/7.5 = 53.3 cm³ of brass.
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