# Formula Archimedes principle Buoyant Force Density Volume Gravitational acceleration

## Buoyant Force

`$$ F_{\text A} $$`Unit

`$$ \mathrm{N} $$`

Force experienced by a body in the opposite direction to gravity when this body is immersed in a liquid (e.g. water). The body experiences a buoyancy.

## Density

`$$ \class{blue}{\rho} $$`Unit

`$$ \frac{ \mathrm{kg} }{ \mathrm{m}^3} $$`

Mass density of the liquid. It tells you how heavy one cubic meter of the liquid is.

For example, the density of water is: \( \rho ~=~ 10^{-3} \, \frac{ \text{kg} }{ \text{m}^3} \).

## Volume

`$$ \class{red}{V} $$`Unit

`$$ \mathrm{m}^3 $$`

Volume of the liquid displaced by the immersed body. This is exactly the volume of the body immersed in the liquid.

## Gravitational acceleration

`$$ g $$`Unit

`$$ \frac{\mathrm{m}}{\mathrm{s}^2} $$`

The gravitational acceleration is experienced by a body in the gravitational field of a planet. On the earth the gravitational acceleration is: \( g ~=~ 9.8 \, \frac{\text m}{\text{s}^2} \).