Formula CIE Flashcards

1
Q

Angle in radians

A

Length of arc / radius

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2
Q

Angular velocity (ω)

A

ω=2πf

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3
Q

Velocity

A

v=ωr

Or

v= 2πr/t

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4
Q

Centripetal acceleration

A

a= ω^2r

a= v^2/r

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5
Q

Centripetal force

A

F=mv^2/r

F=mrω^2

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6
Q

Newtons law of gravitation

A

F= GMm/r^2

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7
Q

Gravitational field strength (gfs)

A

GFS= GM/r^2

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8
Q

Gravitational potential

Φ

A

φ= -GM/r

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9
Q

Gravitational potential energy (GPE)

A

GPE= -GMm/r

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10
Q

Orbital speed

A

v^2 =Gm/r

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11
Q

Orbital period

A

T^2= (4π^2/GM)r^3

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12
Q

Period

A

T= 1/f

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13
Q

Frequency

A

f= 1/T

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14
Q

s.h.m

A

x= x•sinωt

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15
Q

Acceleration (oscillations)

A

a= -ω^2x

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16
Q

Velocity (oscillations)

A

v= ω(x•^2-x^2)^0.5

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17
Q

Maximum velocity (oscillations)

A

v=ωx•

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18
Q

Attenuation

A

Number of dB = 10log(P1/P2)

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19
Q

Signal to noise ratio

A

10log(signal power/noise power)

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20
Q

Internal energy

A

ΔU = q + wd

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21
Q

Specific heat capacity

A

E= mcΔθ

Δθ= Change in temperature

m = mass

c= specific heat capacity

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22
Q

Specific latent heat

A

E= mL

L= specific latent heat

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23
Q

Boyle’s law

A

pV= constant

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24
Q

Ideal gas equation

A

pV= nRT

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25
Q

of moles

A

n= mass (in grams)/ nucleon #

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26
Q

Number of molecules

A

N= n * Na

n = #of moles
Na = avagadro constant
27
Q

Pressure

A

p= 1/3 * Nm^2/V

N= # of molecules

28
Q

KE of particle in an ideal gas

A

KE = 1/2 * m^2

29
Q

Coulomb’s law

A

F= Q1*Q2/4πε•r^2

30
Q

Electric potential

A

V= Q/4πε•r

31
Q

Electric Field strength

A

EFS= V/d

=F/Q

32
Q

Capacitance

A

C=Q/V

33
Q

Work done charging a capacitor

A

Wd= 1/2QV
= 1/2
CV^2
=1/2*Q^2/C

34
Q

Capacitance of isolated bodies

A

C= 4πε•r

35
Q

Inverting / non-inverting amplifier

A

Gain= Vout/Vin

36
Q

Magnetic flux density

A

B= F/IL

37
Q

Magnetic force on a particle moving 90 degrees to magnetic field

A

F= Bev

38
Q

Electron travelling in a magnetic field

A

mv^2/r= Bev

39
Q

Hall voltage

A

V=BI/ntq

40
Q

Charge to mass ratio

A

e/m =2Vca/r^2B^2

41
Q

KE of electrons leaving the anode in a deflection tube

A

1/2mv^2 = eVa

42
Q

Magnetic flux

A

φ=ΒA
A=area
B=magnetic flux density

43
Q

Faradays law

A

E= Δ(Nφ)/Δt

44
Q

Magnetic flux linkage

A

Nφ=NBAcosθ

Ν=number of turns

45
Q

Sinusoidal alternating current

A

I =I•sinωt

t=time

46
Q

Sinusoidal alternating emf

A

V= V•sinωt

47
Q

Rms

A

Irms =I•/2^0.5

48
Q

Transformers

A

Vs/Vp= Ns/Np

49
Q

Energy of a photon

A

E=hf

= hc/λ

50
Q

KE of charge through a voltage

A

eV=1/2mv^2

51
Q

Einsteins photoelectric equation

A

hf = Φ + KE

Φ=work constant

52
Q

Dw Broigle wavelength

A

λ= h/mv

53
Q

Energy-mass equation

A

E=mc^2

54
Q

Activity of radioactive sample

A

A= ΔN/Δt

55
Q

Exponential decrease of a quantity

A

X=X• e^(-λt)

56
Q

Half life

A

t1/2=ln2/λ

57
Q

Max X-ray frequency

A

f= eV/h

58
Q

Attenuation of X-ray

A

I= I•e^(-μx)

59
Q

Half thickness

A

X1/2= ln2/μ

60
Q

Acoustic impedance of a material

A

Z=ρc

61
Q

Fraction of intensity of unltrasound wave reflected at boundary

A

It/Io= (Z2-Z1)^2/(Z2+Z1)^2

62
Q

Thickness of material

A

Thickness = cΔt/2

63
Q

Lamour frequency

A

ω• = γB•

64
Q

Frequency of processing nuclei

A

f•=λB•/2π