Formula Flashcards
Circumference of a circle
C=2rpi
Surface area of a circle
A= r^2*pi
Surface area of a sphere
A= 4r^2pi
Volume of a spere
V=4/3r^3pi
1 rad
360/2pi=57,3 degrees
SI base units and symbols
meter m kilogram kg second s ampere A kelvin K mole (mol) candela (cd)
SI base quantity
length mass time electric current thermodynamic temperature amount of substance luminous intensity
exa
E
10^18
quintillion
peta
P
10^15
quadrillion
tera
T
10^12
mega
M
10^6
hecto
h
10^2
deca
10
da
pico
10^-12
p
femto
10^-15
f
atto
10^-18
a
Velocity
v=Δs/Δt
Linear motion with uniform velocity
s= v*t
Acceleration
a=Δv/Δt
Linear motion with uniform acceleration
v=a*t+v0
v0= initial velocity
e.g: free fall
Average velocity
v=(vf-v0)/2
If velocity changes linearly with time and to calculate the distance traveled during a time interval.
Angular velocity
ω= Δφ/Δt
Uniform circular motion
φ=ω*t
Velocity of object in uniform circular motion
v=r*ω
Period
T
Frequency
1/T
Angular frequency
ω= 2pi*f
Force
F=m*a
Newton
1kg*m/s^2
Law of universal gravitation
F=G(m1*m2)/r^2
G
6,67*10^-11
Hooke’s law/Restoring force
F=-k*s
Work
W=F*s
W=P*t
Power
P=W/t
Work with force at angle
W= Fscos of angle
1eV
1,6*10^-19
1 cal
4,19 J
Kinetic energy
E=0,5mv^2
W=0,5mv^2
Gravitational potential energy
E=mgh
W=mgh
Elastic potential energy
E=0,5ks^2
Mass-energy equivalence
E=m*c^2
Pressure
P=F/A
1 bar
10^5 Pa
1 atm
101 kPa
1 mmHg
133 Pa
Density
D=m/V
Hydrostatic pressure
P= dgh
Displacement of harmonic oscillation
y=Asin(ωt+φ)
Velocity of harmonic oscillation
v= ωAcos(ω*t+φ)
Maximum velocity of harmonic oscillation
vmax=ω*A
Acceleration of harmonic oscillation
a= -ω^2Asin(ω*t+φ)
Maximum acceleration of harmonic oscelleration
amax=-ω^2*A
Force on object experiencing harmonic oscillation
F=mω^2y
Natural frequency/Eigen frequency
f = 1/2pi* rot(k/m)
Velocity of propagation
c=f*λ
Law of refraction/snells law
sin alpha/sin beta=c1/c2
Standing wave
l=k*(λ/2)
Heat capacity
C=Q/ΔT
Specific heat capacity
c=C/m
Mix of Q and c
Q=cmΔT
Specific latent heat
L=Q/m
Amount of substance
v=N/Na
Ideal gas law
pV=vRT
Coulomb force
F=k ((q1*q2)/r^2)
Electric dipole moment
p=q*d
unit: C*m or debye
Electric field strength
E= F/q
Voltage
U=W/q
Electric field strength of capacitor
U=E*d
Capacitance
C=q/U
Capacitance w/dimensions
C= E0Er(A/d)
E0= absolute permittivity
Er=relative permittivity
Electric energy stored in the capacitor
W=0,5CU^2
Electric current
I=Δq/Δt
Electric resistance
R=U/I
R= density*l/A
Electric conductance
G=1/R
Specific conductance/Conductivity
sigma=1/specific resistance
Work of electric current/Joule heating
W=UIt
W= R*I^2
Electric power
P=U*I
Capacitive reactance
Xc=1/(ω*C)
C is conductance
