TABEL KONVERSI SATUAN
Tabel Dimensi
physical quantity (symbol)
SI units
dimensions
acceleration ( a )
ms
LT
action ( S )
Js
L MT
angular momentum ( L, J )
m kg s
angular speed ( ω )
rad s
area ( A, S )
m
Avogadro constant ( N A )
mol
bending moment ( Gb )
Nm
L MT−
Bohr magneton ( μ ( μb )
JT−
L I
Boltzmann constant ( k, k B )
J K−
L M T− Θ−
bulk modulus ( K )
Pa
L− M T −
capacitance ( C )
F
L− M− T I
charge [electric] ( q )
C
TI
charge density ( ρ ( ρ )
Cm
conductance ( G )
S
σ ) conductivity ( σ )
SM
couple ( G, T )
Nm
current ( I, i )
A
current density ( J, j )
Am
−
2
−
−
2
−
2
−
L MT
−
2
T
−
L
2
−
1 2
2
2
4
−
−
L
−
TI
L
−
M
L
−
M
2
3
2
T I
−
T I
2
L MT
L
3
−
I −
2
−
I
−
density ( ρ )
kg m
−
L
−
M
Konversi Satuan 9 1 curie = 37,0 x 10 Bq −3 1 degree (angle) = 17,45329 x 10 rad 1 dyne = 10,0 x 10 −6 N −21 1 electron volt = 160,2177 x 10 J 1 erg = 100,0 x 10 −9 J 3 1 faraday = 96,4853 x 10 C 1 fermi = 1,0 x 10−15 m −3 1 foot = 304,8 x 10 m 1 furlong = 201,168 m
physical quantity (symbol)
SI units
electric displacement ( D )
Cm
electric field strenght ( E )
V m−
electric polarisability (α )
Cm V
electric polarisation ( P )
Cm
dimensions
−
L
−
TI
LMT− I−
2
−
M
−
−
L
−
T −
I
2
TI
2
L MT− I−
electric potential difference ( V ) V
2
energy ( E, U )
J
energy density ( u )
Jm
entropy ( S )
JK
Faraday constant ( F )
C mol
force ( F )
N
frequency ( ν, f )
T
gravitational constant ( G )
m − kg − s −
Hall coefficient ( R H )
m C
Hamiltonian ( H )
J
heat capacity ( C )
JK
Hubble constant ( H )
s
L MT −
L
−
L MT −
−
MT
2
−
−
−
Θ−
TI LMT−
−
T
3
−
−
L− M− T− 3
I
−
L MT
−
2
Θ−
L T
−
2
−
−
Konversi Satuan −3 1 pound (avoirdupois) = 453,5924 x 10 kg 3 1 psi = 6,894757 x 10 Pa
L MT T
−
−
1 rad = 10,0 x 10 −3 Gy 6 1 rutherford = 1,0 x 10 Bq 1 rydberg = 2,179874 x 10 −18 J 1 slug = 14,59390 kg −12 1 statampere = 333,5641 x 10 A −12 1 statcoulomb = 333,5641 x 10 C −12 1 statfarad = 1,112650 x 10 F 9 1 stathenry = 898,7552 x 10 H 9 1 statohm = 898,7552 x 10 Ω 1 statvolt = 299,7925 V 1 torr = 133,3224 Pa 1 yard = 914,4 x 10 −3 m
physical quantity (symbol)
SI units dimensions
impedance ( Z )
Ω
impulse ( I )
Ns
inductance ( L )
H
irradiance ( E e )
Wm−
illuminance ( E v )
L
Lagrangian ( L )
J
length ( L, l )
m
L
luminous intensity ( I v )
cd
J
2
L MT
I
−
I
−
LMT− 2
L MT
−
−
−
MT− lx
J 2
L MT
Conversion Factors −3 1 inch = 25,4 x 10 m 3 1 kilocalorie = 4,1868 x 10 J 6 1 kilowatt hour = 3,6 x 10 J −3 −1 1 knot (international) = 514,4444 x 10 ms 15 1 light year = 9,46073 x 10 m 3 −3 1 litre = 1,0 x 10 m 1 lumen (at 555 nm) = 1,470588 x 10 −3 W −9 1 maxwell = 10,0 x 10 Wb 3 1 mile (international) = 1,609344 x 10 m 3 1 mile (nautical, int.) = 1,852 x 10 m 3 1 mile (nautical, UK) = 1,853184 x 10 m 1 millibar = 100,0 Pa 15 1 parsec = 30,85678 x 10 m
−
physical quantity (symbol)
SI units
magnetic field strength ( H )
A m−
magnetic flux ( Φ )
Wb
magnetic flux density ( B )
T
dimensions
L− I 2
L MT M T
magnetic dipole moment ( m, μ ) A m
2
−
−
−
I −
I
L− I −
−
−
magnetic vector potential ( A )
Wb m
magnetisation ( M )
A m−
mass ( m, M )
kg
mobility ( μ )
m V
molar gas constant ( R )
J mol − K −
L MT− Θ−
moment of inertia ( I )
kg m
2
L M
momentum ( p )
kg m s −
number density ( n )
m
L MT
L− I M
2
−
s
−
M
2
−
T I
2
2
L MT−
−
L
Conversion Factors −3 1 pound (avoirdupois) = 453,5924 x 10 kg 3 1 psi = 6,894757 x 10 Pa 1 rad = 10,0 x 10 −3 Gy 6 1 rutherford = 1,0 x 10 Bq 1 rydberg = 2,179874 x 10 −18 J 1 slug = 14,59390 kg −12 1 statampere = 333,5641 x 10 A −12 1 statcoulomb = 333,5641 x 10 C −12 1 statfarad = 1,112650 x 10 F 9 1 stathenry = 898,7552 x 10 H 9 1 statohm = 898,7552 x 10 Ω 1 statvolt = 299,7925 V 1 torr = 133,3224 Pa 1 yard = 914,4 x 10 −3 m
Alphabetical from P-R.
physical quantity (symbol)
SI units dimensions
permeability ( μ )
Hm
permittivity ( ε )
F m−
−
I
L MT
−
I
−
4
L− M− T I
2
−
Planck constant ( h )
Js
L M T
2
power ( P )
W
L M T−
poynting vector ( S )
Wm
pressure ( p, P )
Pa
radiant intensity ( I e )
W sr −
resistance ( R )
Ω
−
2
−
M T L
−
−
M T
−
2
L M T− 2
L M T
−
−
I
SI Prefixes 24
yotta
Y
10−
yocto
y
21
zetta
Z
10−
zepto
z
18
exa
E
10−
atto
a
15
peta
P
10−
femto
f
12
tera
T
10−
pico
p
9
giga
G
10−
nano
n
6
mega
M
10−
micro
μ
3
kilo
k
10−
milli
m
2
hecto
h
10−
centi
c
1
deca
da
10
deci
d
10 10 10 10 10 10 10 10 10 10
−
Alphabetical from S-T.
physical quantity (symbol)
SI units
shear modulus ( μ, G )
Pa
specific heat capacity ( c )
J kg
speed (u, ν, c )
m s
dimensions
L− MT− −
2
−
K
L T
−
−
Θ−
L T
−
Stefan-Boltzmann constant ( σ ) W m − K−
MT− Θ−
stress ( σ, τ )
Pa
L
surface tension ( σ, γ )
Nm
temperature ( T )
K
thermal conductivity ( λ )
Wm
−
−
MT
MT
−
−
Θ −
−
K
L MT
−
Θ−
s
time ( t )
T
SI Prefixes 24
yotta
Y
10−
yocto
y
21
zetta
Z
10−
zepto
z
18
exa
E
10−
atto
a
15
peta
P
10−
femto
f
12
tera
T
10−
pico
p
9
giga
G
10−
nano
n
6
mega
M
10−
micro
μ
3
kilo
k
10−
milli
m
2
hecto
h
10−
centi
c
1
deca
da
10 −
deci
d
10 10 10 10 10 10 10 10 10 10
physical quantity (symbol)
SI units dimensions
velocity ( ν, u )
ms
viscosity [dynamic] ( η, μ )
Pa s
viscosity [kinematic] ( v )
m s
volume ( V, ν )
m
wavevector ( k )
m−
weight ( W )
N
work ( W )
J
Young modulus ( E )
Pa
2
−
LT
−
L− MT− 2
−
−
L T
3
L
3
L− LMT
−
2
L MT− L
−
MT
SI Prefixes 24
yotta
Y
10−
yocto
y
21
zetta
Z
10−
zepto
z
18
exa
E
10−
atto
a
15
peta
P
10−
femto
f
10 10 10 10
−
12
tera
T
10
9
giga
G
6
mega
3
−
pico
p
10
−
nano
n
M
10
−
micro
μ
kilo
k
10
−
milli
m
2
hecto
h
10
−
centi
c
1
deca
da
10
−
deci
d
10 10 10 10 10 10
Ikuti Cara-cara ini biar mengerti tabel di atas di dapat dari mana Rumus ---> Satuan --> Dimensi dan ingat : massa --> kg --> M ( dari M ass kali?! & jangan kliru M eter) panjang --> m --> L ( dari Length kali ) waktu --> s --> T ( dari T ime kali ) Gaya 2 −2 massa x percepatan--> (kg) (m/s ) --> M L T Massa Jenis 3 −3 massa / volume --> (kg)/(m ) --> M L Energi 2 2 massa x percepatan gravitasi x tinggi --> (kg)(m/s )(m) --> M L T − 2 Tekanan 2 2 gaya/luas ---> (kg)(m/s )/m --> M L −1 T −2 Usaha 2 2 −2 gaya x perpindahan--> (kg)(m/s )(m)--> M L T Momentum −1 massa x kecepatan --> (kg)(m/s) --> M L T Impuls 2 −1 gaya x selang waktu --> (kg)(m/s )(s) --> M L T Daya 2 2 −3 Usaha/waktu --> (kg)(m/s )(m)/(s) - -> M L T Berat 2 −2 massa x percepatan gravitasi --> (kg)(m/s ) --> M L T Berat Jenis 2 3 −2 −2 berat/volume --> (kg)(m/s )/(m ) --> M L T Beberapa besaran memiliki kesamaan dimensi, seperti Usaha dan Energi, Gaya dan Berat, Impuls dan momentum. Untuk soal yang sedikit lebih rumit biasanya ditampilkan rumusnya, tinggal otak-atik, pindah kanan kiri, atas bawah, masukkan satuannya baru dikonvert ke dimensi. Sekedar Contoh: Diberikan formula gaya gravitasi antara dua benda sebagai berikut
dengan F adalah gaya (Newton) m 1 dan m2 adalah massa kedua buah benda (kg), r adalah jarak kedua benda (m) dan G adalah suatu konstanta yang akan dicari dimensinya. Dari rumus diatas setelah dibolak-balik didapatkan bahwa
masukkan satuannya bawa ke kg, m dan s. Untuk satuan gaya lihat daftar diatas, didapat
Contoh berikutnya: Diberikan persamaan gaya pegas F=kΔX
Dimana F adalah gaya pegas (Newton), Δ X adalah pertambahan panjang pegas (meter) dan k adalah konstanta pegas. Dimensi konstanta pegas?
