Physics Formulae/Equations for Properties of Matter

Lead Article: Tables of Physics Formulae

This article is a summary of the laws, principles, defining quantities, and useful formulae in the analysis of Equations for Properties of Matter.

Friction

Normal Force	$f_n=𝐟\cdot 𝐧$
Static Friction, lies tangent to the surface	$f⩽{\mu }_s{f}_n$
Kinetic Friction, lies tangent to the surface	$f={\mu }_k{f}_n$
Drag Force, tangent to the path	$f={\mu }_d\rho a{v}^2/2$
Terminal Velocity	$v_t=\sqrt{\frac{2fg}{{\mu }_d\rho A}}$
Energy dissipation due to Friction (sound, heat etc)	$\mathrm{\Delta }E=f_{k}d$

Stress and strain

Quantity (Common Name/s)	(Common) Symbol/s	Definining Equation	SI Units	Dimension
General Stress	$\sigma$	$\sigma =F/A$ F may be any force applied to area A	Pa = N m-2	[M] [T] [L]-1
General Strain	$ϵ$	$ϵ=\mathrm{\Delta }D/D$ D = dimension (length, area, volume) $\mathrm{\Delta }D$ = change in dimension	dimensionless	dimensionless
General Modulus of Elasticity	$E_{\mathrm{m}\mathrm{o}\mathrm{d}}$	$E_{\mathrm{m}\mathrm{o}\mathrm{d}}=\sigma /ϵ$	Pa = N m-2	[M] [T] [L]-1
Yield Strength/	$$
Ultimate Strength	$$
Young's Modulus	$E,Y$	$Y=\frac{FL}{A\mathrm{\Delta }L}$	Pa = N m-2	[M] [T] [L]-1
Shear Modulus	$G$	$G=\frac{FL}{A\mathrm{\Delta }x}$	Pa = N m-2	[M] [T] [L]-1
Bulk Modulus	$B$	$B=\frac{P}{\mathrm{\Delta }V/V}$	Pa = N m-2	[M] [T] [L]-1

Fluid Dynamics

density	$\rho =\mathrm{\Delta }m/\mathrm{\Delta }V$
pressure	$p=\mathrm{\Delta }F/\mathrm{\Delta }A$
pressure difference	$\mathrm{\Delta }p=\rho g\mathrm{\Delta }y$
pressure at depth	$p=p_0+\rho gh$
barometer versus manometer	${\displaystyle }$
Pascal's principle	${\displaystyle }$
Archimedes' Principle	${\displaystyle }$
buoyant force	$F_b=m_{f}g$
gravitational force when floating	$F_g=F_b$
apparent weight	$weigh{t}_{app}=weight-F_b$
ideal fluid	${\displaystyle }$
equation of continuity	$R_V=Av=$ constant
Bernoulli's Equation	$p+\frac{\rho }{2}{v}^2+\rho gh=$ constant