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Jumat, 31 Agustus 2012

Satuan internasional dan dimensinya

Satuan Dimensi Internasional Dan Konversi Satuan

Tabel Dimensi Satuan
Sistem Dimensi Satuan Internasional
Sistem Dimensi Satuan
Sistem Satuan Dimensi Internasional
Sistem Satuan Dimensi inggris
Konvesri Satuan Lengkap
Mencari Dimensi
Cara mencari Dimensi
rumus Dimensi

Tabel Dimensi

physical quantity (symbol)

SI units

dimensions
acceleration ( a )m s−2L T −2
action ( S )J sL 2 M T −1
angular momentum ( L, J )m2 kg s −1L 2 M T −1
angular speed ( ω )rad s −1T −1
area ( A, S )m2L 2
Avogadro constant ( NA )mol −11
bending moment ( Gb )N mL 2 M T −2
Bohr magneton ( μb )J T −1L2 I
Boltzmann constant ( k, kB )J K−1L2 M T −2 Θ −1
bulk modulus ( K )PaL−1 M T −2
capacitance ( C )FL−2 M−1 T 4 I 2
charge [electric] ( q )CT I
charge density ( ρ )C m−3L −3 T I
conductance ( G )SL −2 M−1 T 3 I 2
conductivity ( σ )S M−1L −3 M −1 T 3 I 2
couple ( G, T )N mL 2 M T −2
current ( I, i )AI
current density ( J, j )A m−2L −2 I
density ( ρ )kg m−3L −3 M
Konversi Satuan
1 curie = 37,0 x 109 Bq
1 degree (angle) = 17,45329 x 10−3 rad
1 dyne = 10,0 x 10−6 N
1 electron volt = 160,2177 x 10−21 J
1 erg = 100,0 x 10−9 J
1 faraday = 96,4853 x 103 C
1 fermi = 1,0 x 10−15 m
1 foot = 304,8 x 10−3 m
1 furlong = 201,168 m





physical quantity (symbol)

SI units

dimensions
electric displacement ( D )C m−2L −2 T I
electric field strenght ( E )V m−1L M T −3 I −1
electric polarisability (α )C m2 V −1M −1 T −4 I 2
electric polarisation ( P )C m −2L −2 T I
electric potential difference ( V )VL 2 M T −3 I −1
energy ( E, U )JL 2 M T −2
energy density ( u )J m −3L −1 M T −2
entropy ( S )J K−1L 2 M T −2 Θ −1
Faraday constant ( F )C mol −1T I
force ( F )NL M T −2
frequency ( ν, f )T −1T −1
gravitational constant ( G )m −3 kg −1 s −2L −3 M −1 T −2
Hall coefficient ( RH )m 3 C −1L 3 T −1 I −1
Hamiltonian ( H )JL 2 M T −2
heat capacity ( C )J K−1L 2 M T −2 Θ −1
Hubble constant ( H )s −1T −1
Konversi Satuan
1 pound (avoirdupois) = 453,5924 x 10−3 kg
1 psi = 6,894757 x 103 Pa
1 rad = 10,0 x 10−3 Gy
1 rutherford = 1,0 x 106 Bq
1 rydberg = 2,179874 x 10−18 J
1 slug = 14,59390 kg
1 statampere = 333,5641 x 10−12 A
1 statcoulomb = 333,5641 x 10−12 C
1 statfarad = 1,112650 x 10−12 F
1 stathenry = 898,7552 x 109 H
1 statohm = 898,7552 x 109 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 )ΩL 2 M T −3 I −1
impulse ( I )N sL M T −1
inductance ( L )HL 2 M T −2 I −2
irradiance ( Ee )W m −2M T −3
illuminance ( Ev )L −2 Jlx
Lagrangian ( L )JL 2 M T −2
length ( L, l )mL
luminous intensity ( Iv )cdJ
Conversion Factors
1 inch = 25,4 x 10−3 m
1 kilocalorie = 4,1868 x 103 J
1 kilowatt hour = 3,6 x 106 J
1 knot (international) = 514,4444 x 10−3 ms−11 light year = 9,46073 x 1015 m
1 litre = 1,0 x 10−3 m31 lumen (at 555 nm) = 1,470588 x 10−3 W
1 maxwell = 10,0 x 10−9 Wb
1 mile (international) = 1,609344 x 103 m
1 mile (nautical, int.) = 1,852 x 103 m
1 mile (nautical, UK) = 1,853184 x 103 m
1 millibar = 100,0 Pa
1 parsec = 30,85678 x 1015 m





physical quantity (symbol)

SI units

dimensions
magnetic field strength ( H )A m−1L −1 I
magnetic flux ( Φ )WbL 2 M T −2 I −1
magnetic flux density (B )TM T −2 I −1
magnetic dipole moment ( m, μ )A m 2L −2 I
magnetic vector potential ( A )Wb m −1L M T −2 I −1
magnetisation ( M )A m−1L −1 I
mass ( m, M )kgM
mobility ( μ )m 2 V −1 s −1M −1 T 2 I
molar gas constant ( R )J mol −1 K −1L 2 M T −2 Θ −1
moment of inertia ( I )kg m 2L 2 M
momentum ( p )kg m s −1L M T −1
number density ( n )m −3L −3
Conversion Factors
1 pound (avoirdupois) = 453,5924 x 10−3 kg
1 psi = 6,894757 x 103 Pa
1 rad = 10,0 x 10−3 Gy
1 rutherford = 1,0 x 106 Bq
1 rydberg = 2,179874 x 10−18 J
1 slug = 14,59390 kg
1 statampere = 333,5641 x 10−12 A
1 statcoulomb = 333,5641 x 10−12 C
1 statfarad = 1,112650 x 10−12 F
1 stathenry = 898,7552 x 109 H
1 statohm = 898,7552 x 109 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 )H m−1L M T −2 I −2
permittivity ( ε )F m−1L −3 M −1 T 4 I 2
Planck constant ( h )J sL 2 M T −1
power ( P )WL 2 M T −3
poynting vector ( S )W m −2M T −3
pressure ( p, P )PaL −1 M T −2
radiant intensity ( Ie )W sr −1L 2 M T −3
resistance ( R )ΩL 2 M T −3 I −2

SI Prefixes

1024yottaY10−24yoctoy
1021zettaZ10−21zeptoz
1018exaE10−18attoa
1015petaP10−15femtof
1012teraT10−12picop
109gigaG10−9nanon
106megaM10−6microμ
103kilok10−3millim
102hectoh10−2centic
101decada10−1decid


Alphabetical from S-T.

physical quantity (symbol)

SI units

dimensions
shear modulus ( μ, G )PaL −1 M T −2
specific heat capacity ( c )J kg−1 K−1L 2 T −2 Θ −1
speed (u, ν, c )m s −1
L T −1
Stefan-Boltzmann constant ( σ )W m −2 K−4M T −3 Θ −4
stress ( σ, τ )PaL −1 M T −2
surface tension ( σ, γ )N m −1M T −2
temperature ( T )KΘ
thermal conductivity ( λ )W m −1 K−1L M T −3 Θ −1
time ( t )sT

SI Prefixes

1024yottaY10−24yoctoy
1021zettaZ10−21zeptoz
1018exaE10−18attoa
1015petaP10−15femtof
1012teraT10−12picop
109gigaG10−9nanon
106megaM10−6microμ
103kilok10−3millim
102hectoh10−2centic
101decada10−1decid



physical quantity (symbol)

SI units

dimensions
velocity ( ν, u )m s −1
L T −1
viscosity [dynamic] ( η, μ )Pa sL −1 M T −1
viscosity [kinematic] ( v )m 2 s −1
L 2 T −1
volume ( V, ν )m 3L 3
wavevector ( k )m −1L −1
weight ( W )NL M T −2
work ( W )JL 2 M T −2
Young modulus ( E )PaL −1 M T −2

SI Prefixes

1024yottaY10−24yoctoy
1021zettaZ10−21zeptoz
1018exaE10−18attoa
1015petaP10−15femtof
1012teraT10−12picop
109gigaG10−9nanon
106megaM10−6microμ
103kilok10−3millim
102hectoh10−2centic
101decada10−1decid


Ikuti Cara-cara ini biar mengerti tabel di atas di dapat dari mana

Rumus---> Satuan --> Dimensi
dan ingat :
massa --> kg --> M ( dari Mass kali?! & jangan kliru Meter)
panjang --> m --> L ( dari Length kali )
waktu --> s --> T ( dari Time kali )

Gaya
massa x percepatan--> (kg) (m/s2) --> M L T − 2Massa Jenis
massa / volume --> (kg)/(m3) --> M L−3 Energi
massa x percepatan gravitasi x tinggi --> (kg)(m/s2)(m) --> M L2 T − 2Tekanan
gaya/luas ---> (kg)(m/s2)/m2 --> M L −1 T −2Usaha
gaya x perpindahan--> (kg)(m/s2)(m)--> M L2 T−2Momentum
massa x kecepatan --> (kg)(m/s) --> M L T−1Impuls
gaya x selang waktu --> (kg)(m/s2)(s) --> M L T −1Daya
Usaha/waktu --> (kg)(m/s2)(m)/(s) - -> M L 2 T −3Berat
massa x percepatan gravitasi --> (kg)(m/s2) --> M L T −2Berat Jenis
berat/volume --> (kg)(m/s2)/(m3) --> M L −2 T −2Beberapa 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) m1 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 = k Δ X
Dimana F adalah gaya pegas (Newton), Δ X adalah pertambahan panjang pegas (meter) dan k adalah konstanta pegas. Dimensi konstanta pegas?

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