Physics - Pressure

Created: November 09, 2020

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[[Physics - Archimedes’ Principle]]A

What is the word formula for pressure?
\[\text{pressure} = \frac{\text{force}}{\text{area}}\]

What are the units of pressure?

pascals, $\text{Pa}$

What is one Pascal equal to?

$1Nm^{-2}$, one Newton per square metre.

What is atmospheric pressure approximately equal to?
\[1\times10^{5} Pa\]

What is the symbol formula for pressure?
\[P = \frac{F}{A}\]

What is a fluid?

A gas or a liquid.

What is the symbol formula for the pressure in a fluid?
\[P = \rho h g\]

What is the word formula for the pressure in a fluid?
\[\text{pressure} = \text{density} \times \text{height} \times \text{gravitational field strength}\]

If you have a cylinder with cross-sectional surface area $A$ and height $h$, what is the formula for its volume?
\[V = A \times h\]

If you have a cyclinder with volume $V$ and density $\rho$, what is the formula for its mass?
\[m = V\rho\]

If you have a cyclinder with mass $m$, what is the formula for its weight?
\[W = m \times g\]

If you have a cylinder with weight $w$ and cross-sectional surface area $A$, what is a formula for the pressure in the fluid?
\[P = \frac{w}{A}\]

What is the symbol formula for pressure in a fluid?
\[P = \rho h g\]

What seems “magic” about the formula for pressure in a fluid?

The surface area does not matter.

Why does the surface area part of the pressure in a fluid equation dissapear?

Because the area component of volume cancels out:

\[\frac{\rho g h \text{\sout{A}}}{\text{\sout{A}}}\]

What is the word formula for pressure in a fluid?
\[\text{density} \times \text{height} \times \text{gravitational field strength}\]

What does $\rho$ represent in the pressure in a fluid equation?

The density of the fluid.

What assumption are you making for the pressure in a fluid equation?

That the density of the fluid stays constant.



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