diff options
Diffstat (limited to 'content/know/concept/archimedes-principle')
| -rw-r--r-- | content/know/concept/archimedes-principle/index.pdc | 11 |
1 files changed, 5 insertions, 6 deletions
diff --git a/content/know/concept/archimedes-principle/index.pdc b/content/know/concept/archimedes-principle/index.pdc index 3a063ec..fb91b67 100644 --- a/content/know/concept/archimedes-principle/index.pdc +++ b/content/know/concept/archimedes-principle/index.pdc @@ -39,7 +39,7 @@ $$\begin{aligned} Where $\va{g}$ is the gravitational field, and $\rho_\mathrm{b}$ is the density of the body. Meanwhile, the pressure $p$ of the surrounding fluid exerts a force -on the surface $S$ of $V$: +on the entire surface $S$ of $V$: $$\begin{aligned} \va{F}_p @@ -75,18 +75,17 @@ and zero on the "non-submerged" side, we find: $$\begin{aligned} 0 - = \mathrm{g} (\rho_\mathrm{b} - \rho_\mathrm{f}) V = \mathrm{g} (m_\mathrm{b} - m_\mathrm{f}) \end{aligned}$$ -In other words, the mass $m_\mathrm{b}$ of the submerged portion $V$ of the body, +In other words, the mass $m_\mathrm{b}$ of the entire body is equal to the mass $m_\mathrm{f}$ of the fluid it displaces. This is the best-known version of Archimedes' principle. -Note that if $\rho_\mathrm{b} > \rho_\mathrm{f}$, then, +Note that if $\rho_\mathrm{b} > \rho_\mathrm{f}$, +then the displaced mass $m_\mathrm{f} < m_\mathrm{b}$ even if the entire body is submerged, -the displaced mass $m_\mathrm{f} < m_\mathrm{b}$, -and the object will continue to sink. +and the object will therefore continue to sink. |