Formula CIE Flashcards
Angle in radians
Length of arc / radius
Angular velocity (ω)
ω=2πf
Velocity
v=ωr
Or
v= 2πr/t
Centripetal acceleration
a= ω^2r
a= v^2/r
Centripetal force
F=mv^2/r
F=mrω^2
Newtons law of gravitation
F= GMm/r^2
Gravitational field strength (gfs)
GFS= GM/r^2
Gravitational potential
Φ
φ= -GM/r
Gravitational potential energy (GPE)
GPE= -GMm/r
Orbital speed
v^2 =Gm/r
Orbital period
T^2= (4π^2/GM)r^3
Period
T= 1/f
Frequency
f= 1/T
s.h.m
x= x•sinωt
Acceleration (oscillations)
a= -ω^2x
Velocity (oscillations)
v= ω(x•^2-x^2)^0.5
Maximum velocity (oscillations)
v=ωx•
Attenuation
Number of dB = 10log(P1/P2)
Signal to noise ratio
10log(signal power/noise power)
Internal energy
ΔU = q + wd
Specific heat capacity
E= mcΔθ
Δθ= Change in temperature
m = mass
c= specific heat capacity
Specific latent heat
E= mL
L= specific latent heat
Boyle’s law
pV= constant
Ideal gas equation
pV= nRT
of moles
n= mass (in grams)/ nucleon #
Number of molecules
N= n * Na
n = #of moles Na = avagadro constant
Pressure
p= 1/3 * Nm^2/V
N= # of molecules
KE of particle in an ideal gas
KE = 1/2 * m^2
Coulomb’s law
F= Q1*Q2/4πε•r^2
Electric potential
V= Q/4πε•r
Electric Field strength
EFS= V/d
=F/Q
Capacitance
C=Q/V
Work done charging a capacitor
Wd= 1/2QV
= 1/2CV^2
=1/2*Q^2/C
Capacitance of isolated bodies
C= 4πε•r
Inverting / non-inverting amplifier
Gain= Vout/Vin
Magnetic flux density
B= F/IL
Magnetic force on a particle moving 90 degrees to magnetic field
F= Bev
Electron travelling in a magnetic field
mv^2/r= Bev
Hall voltage
V=BI/ntq
Charge to mass ratio
e/m =2Vca/r^2B^2
KE of electrons leaving the anode in a deflection tube
1/2mv^2 = eVa
Magnetic flux
φ=ΒA
A=area
B=magnetic flux density
Faradays law
E= Δ(Nφ)/Δt
Magnetic flux linkage
Nφ=NBAcosθ
Ν=number of turns
Sinusoidal alternating current
I =I•sinωt
t=time
Sinusoidal alternating emf
V= V•sinωt
Rms
Irms =I•/2^0.5
Transformers
Vs/Vp= Ns/Np
Energy of a photon
E=hf
= hc/λ
KE of charge through a voltage
eV=1/2mv^2
Einsteins photoelectric equation
hf = Φ + KE
Φ=work constant
Dw Broigle wavelength
λ= h/mv
Energy-mass equation
E=mc^2
Activity of radioactive sample
A= ΔN/Δt
Exponential decrease of a quantity
X=X• e^(-λt)
Half life
t1/2=ln2/λ
Max X-ray frequency
f= eV/h
Attenuation of X-ray
I= I•e^(-μx)
Half thickness
X1/2= ln2/μ
Acoustic impedance of a material
Z=ρc
Fraction of intensity of unltrasound wave reflected at boundary
It/Io= (Z2-Z1)^2/(Z2+Z1)^2
Thickness of material
Thickness = cΔt/2
Lamour frequency
ω• = γB•
Frequency of processing nuclei
f•=λB•/2π