This page is a summary of the equations one might cover in an introductory physics course.

Where possible this list has avoided using any specific system of units. Axioms are in green, definitions are in blue, and theorems are black.

SI Prefixes

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significand 

n SI prefix name etymology
8 Y yotta- [y]octo
7 Z zetta- septem
6 E exa- hexa
5 P peta- penta
4 T tera- tetra
3 G giga- giant
2 M mega- great
1 k kilo- thousand (Greek)
-1 m milli- thousand (Latin)
-2 µ micro- small
-3 n nano- dwarf
-4 p pico- small
-5 f femto- (fifteen/3 = 5) (Danish)
-6 a atto- (eighteen/3 = 6) (Danish)
-7 z zepto- septem
-8 y yocto- [y]octo

Translation and rotation

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time    
mass    
position    
duration    
displacement    
conservation of mass    
velocity    
acceleration    
jerk    
inertia    
kinetic energy    
momentum    
conservation of mass    
conservation of energy    
conservation of momentum    
force      
impulse    
work    
power    
Newton's Third Law    
displacement    
time    
acceleration    
initial velocity    
final velocity    

Common forces

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spring force, lies parallel to spring  
weight, points toward the centre of gravity  
tension, lies within the cord  
static friction maxiumum, lies tangent to the surface  
kinetic friction, lies tangent to the surface  
drag force, tangent to the path  

Mapping rotation to translation

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centripetal force, points to the axis of rotation  
angular to linear displacement  
angular to linear speed  
angular to linear acceleration tangential component  
angular to linear acceleration radial component  
angular to linear acceleration centripetal acceleration  

Other

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work done by a spring, positive when relaxes  
inertial frames  
 
 
greatest distance   rotations
trajectory  
flight distance  
flight time?  
terminal velocity  
elastic potential energy  
mechanical energy  
work by type of energy  
friction creates heat  
center of mass COM  
 
for constant density:  
COM is in all planes of symmetry
elastic collision  
inelastic collision  maximum
?  
system COM remains inert  
elastic collision, 1D, M2 stationary  
 
first rocket equation,thrust  
second rocket equation  
parallel axis theorem  
smooth rolling  
 
 
down a ramp axis x  

Thermodynamics

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irreversible
adiabatic  
molecules  
temperature  
degrees of freedom  
linear expansion  
volume expansion  
heat   due to  
heat capacity  
specific heat  
heat of vaporization  
heat of fusion  
work due to gas expansion  
adiabatic  
constant volume  
free expansion  
closed cycle  
thermal conductivity  
thermal resistance  
conduction rate  
steady state conduction through a composite slab  
Stefan-Boltzmann constant  
thermal radiation  
thermal absorption  
Boltzmann Constant  
ideal gas law  
work, constant temperature  
work, constant volume  
work, constant pressure  
translational energy  
internal energy  
mean speed  
mode speed  
root mean square speed  
mean free path  ?
Maxwell's Speed Distribution  
molecular specific heat at a constant volume  
?  
molecular specific heat at a constant pressure  
?  
?  
adiabatic expansion  
adiabatic expansion  
four special processes on page 529
multiplicity of configurations  
microstate in one half of the box  
Boltzmann's entropy equation  
entropy  
change in entropy  
change in entropy  
force due to entropy  
engine efficiency  
Carnot engine efficiency  
refrigerator performance  
Carnot refrigerator performance  
Zeroth Law of Thermodynamics temperature is an equivalence relation
First Law of Thermodynamics  
Second Law of Thermodynamics  
Third Law of Thermodynamics  

Waves

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phasor
node
antinode
period  
amplitude  
decibel  
torsion constant  
amplitude  
frequency  
angular frequency  
phase angle  
phase  
damping constant  
damping force  
phase  
angular wave number  
phase constant  
linear density  
harmonic number  
harmonic series  
wavelength  
bulk modulus  
path length difference  
resonance  
phase difference  
fully constructive interference  
fully destructive interference  
intensity  
source power  
sound intensity by distance  
standard reference intensity  
sound level  
pipe, two open ends  
pipe, one open end   for n odd
beats  
beat frequency  
Doppler effect  
Mach cone angle  
average wave power  
pressure amplitude  
wave equation  
wave superposition  
wave speed  
wave speed on a stretched string  
angular frequency of a linear simple harmonic oscillator  
angular frequency of an angular simple harmonic oscillator  
angular frequency of a low amplitude simple pendulum  
angular frequency of a low amplitude physical pendulum  
speed of sound  
damped angular frequency  
displacement  
damped displacement  
velocity  
acceleration  
transverse sinusoidal wave  
wave travelling backwards  
resultant wave  
standing wave  
sound displacement function  
sound pressure-variation function  
potential harmonic energy  
kinetic harmonic energy  
total harmonic energy  
damped mechanical energy  

Gravitation

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gravity  
potential energy  
potential energy  
standard gravity  
 
?  
potential work  
understand path independence  
?  

Electricity

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electric constant  
electrostatic constant  
Coulomb's law  
elementary charge   in Coloumbs
electric charge   for integer n
conservation of charge  
test charge  
electric field  
electric field of a point charge  
electric field lines end at a negative charge
r hat?  
electric field of a point charge  
electric dipole moment  
?  
electric field of a dipole moment  
electric field of a charged ring  
surface charge density  
electric field of a charged disk  
torque on a dipole  
potential energy of a dipole  
work done on a dipole  
Gaussian surface ?
flux ?
?  
electric flux  
Gauss' law  
Gauss' law  
volume charge density  
linear charge density  
acceleration due to charge  
conducting surface  
electric field of a line of charge  
non-conducting sheet of charge  
electric field outside spherical shell r>=R  
electric field inside spherical shell r<R  
electric field of uniform charge r<=R  
electric potential energy  
Work done by electric potential energy  
finite potential energy of the system  
electric potential  
electric potential difference  
potential defined  
potential from the electric field  
potential of a point charge  
potential of a point charge group  
potential of a dipole  
potential of continuous charge  
field from potential  
potential of a pair of point charges  
capacitance  
parallel plate capacitor  
cylindrical capacitor  
spherical capacitor  
isolated spherical capacitor  
parallel capacitors  
series capacitors  
potential energy stored in a capacitor  
energy density  
dielectric constant  
dimensions of capacitance  
dielectric  
Gauss' law with dialectric  
electric displacement  
current  
charge density  
?  
drift speed  
?  
resistance  
resistivity in ohm-meters  
conductivity  
?  
variation of resistivity with temperature  
temperature coefficient of resistivity  
Ohm's law  
electrical power  
resistive dissipation  
emf  
rules for calculating emf loop, resistance, emf
internal resistance  
resistors in series  
resistors in parallel  
potential difference across a real battery  
power of an emf device  
Kirchoff's junction rule  
RC charging a capacitor  
RC charging a capacitor  
RC charging a capacitor  
capacitive time constant  
magnetic field  
Hall effect  
circulating charged particle  
cyclotron resonance condition  
force on a current  
magnetic moment  
magnetic dipole torque  
magnetic potential energy  
magnetism constant  , in Tm/A
Biot-Savart law  
magnetic field due to a long straight wire  
magnetic field due to a semi-infinite straight wire  
magnetic field at the center of a circular arc  
Ampere's law  
ideal solenoid  
toroid  
current carrying coil  
magnetic flux through A  
?  
Faraday's law  
Lenz's law  
Faraday's law  
inductance  
solenoid  
self-induced emf  
RL circuit  
RL circuit rise of current  
RL circuit time constant  
RL circuit decay of current  
magnetic energy  
magnetic energy density  
mutual induction  
LC circuit  
LC oscillations  
LC charge  
LC current  
LC electrical energy  
[[]]  
RLC circuit ODE  
RLC circuit ODE solution  
resistive load  
capacitive reactance  
capacitive load  
inductive reactance  
inductive load  
phase constant  
electromagnetic resonance  
rms current  
rms voltage  
rms emf  
average power  
transformation of voltage  
transformation of currents  
transformer resistance  
Gauss' law for magnetic fields  
Maxwell's law of induction  
Ampere-Maxwell law  
displacement current  
Ampere-Maxwell law  
induced magnetic field inside a circular capacitor  
induced magnetic field outside a circular capacitor  
spin magnetic dipole moment  
Bohr magneton  
?  
orbital magnetic dipole moment  
?  

Light

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electric wave component  
magnetic wave component  
celerity  
magnitude ratio  
Poynting vector  
instantaneous energy flow rate  
intensity  
intensity at the sphere  
total absorption  
total reflection back along path  
total absorption  
total reflection back along path  
one-half rule  
cosine-squared rule  
law of reflection  
law of refraction (snell's)  
critical angle  
Brewster angle  
plane mirror  
spherical mirror  
spherical mirror  
lateral magnification  
lateral magnification  
?  
thin lens  
thin lens in air  
index of refraction  
path length difference  
maxima - bright fringes   for m natural
minima - dark fringes   for m natural
double-slit interference intensity  
?  
bright film in air maxima  
bright film in air minima  
single-slit minima  
single-slit intensity  
?  
circular aperture first minimum  
Rayleigh's criterion  
double slit intensity  
diffraction grating maxima lines  , for natural m
diffraction grating half-width  
diffraction grating dispersion  
diffraction grating resolving power  
Bragg's law  

Relativity

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The Relativity Postulate
The Speed of Light Postulate
Lorentz factor  
speed parameter  
time dilation  
length contraction  
Lorentz transformation  
[[]]  
[[]]  
[[]]  
Doppler effect for light  
wavelength Doppler shift  
momentum  
rest energy  
total energy  
[[]]  
kinetic energy  
momentum and kinetic energy triangle  

Particles

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quantum constant  , in energy/frequency
photon energy  
photoelectric equation  
photon momentum  
de Broglie wavelength  
Schrodinger's equation one dimensional motion  
Schrodinger's equation free particle  
Heisenberg's uncertainty principle  
infinite energy well  
energy changes  
wave function of a trapped electron  , for positive int n
probability of detection  
normalization  
hydrogen orbital energy  , for positive int n
hydrogen energy changes  
hydrogen radial probability density  
spin magnetic quantum number  
orbital magnetic dipole moment  
orbital magnetic dipole moment components  
Bohr magneton  
angular momentum components  
spin angular momentum magnitude  
cutoff wavelength  
density of states  
occupancy probability  
Fermi energy  
mass number  
nuclear radii  
mass excess  
radioactive decay  
conservation of lepton number
conservation of baryon number
conservation of strangeness
the eightfold way
weak force
strong force
Hubble constant  
Hubble's law