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User:Craig Pemberton/Physics

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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

[edit]

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

[edit]
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

[edit]
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

[edit]
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

[edit]
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

[edit]
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

[edit]
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

[edit]
gravity
potential energy
potential energy
standard gravity
?
potential work
understand path independence
?

Electricity

[edit]
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

[edit]
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
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[[]]
[[]]
Doppler effect for light
wavelength Doppler shift
momentum
rest energy
total energy
[[]]
kinetic energy
momentum and kinetic energy triangle

Particles

[edit]
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