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−2	L T −2
action ( S )	J s	L 2 M T −1
angular momentum ( L, J )	m2 kg s −1	L 2 M T −1
angular speed ( ω )	rad s −1	T −1
area ( A, S )	m2	L 2
Avogadro constant ( NA )	mol −1	1
bending moment ( Gb )	N m	L 2 M T −2
Bohr magneton ( μb )	J T −1	L2 I
Boltzmann constant ( k, kB )	J K−1	L2 M T −2 Θ −1
bulk modulus ( K )	Pa	L−1 M  T −2
capacitance ( C )	F	L−2 M−1 T 4 I 2
charge [electric] ( q )	C	T I
charge density ( ρ )	C m−3	L −3 T I
conductance ( G )	S	L −2 M−1 T 3 I 2
conductivity ( σ )	S M−1	L −3 M −1 T 3 I 2
couple ( G, T )	N m	L 2 M T −2
current ( I, i )	A	I
current density ( J, j )	A m−2	L −2 I
density ( ρ )	kg m−3	L −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−2	L −2 T I
electric field strenght ( E )	V m−1	L M T −3 I −1
electric polarisability (α )	C m2 V −1	M −1 T −4 I 2
electric polarisation ( P )	C m −2	L −2 T I
electric potential difference ( V )	V	L 2 M T −3 I −1
energy ( E, U )	J	L 2 M T −2
energy density ( u )	J m −3	L −1 M T −2
entropy ( S )	J K−1	L 2 M T −2 Θ −1
Faraday constant ( F )	C mol −1	T I
force ( F )	N	L M T −2
frequency ( ν, f )	T −1	T −1
gravitational constant ( G )	m −3 kg −1 s −2	L −3 M −1 T −2
Hall coefficient ( RH )	m 3 C −1	L 3 T −1 I −1
Hamiltonian ( H )	J	L 2 M T −2
heat capacity ( C )	J K−1	L 2 M T −2 Θ −1
Hubble constant ( H )	s −1	T −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 )	Ω	L 2 M T −3 I −1
impulse ( I )	N s	L M T −1
inductance ( L )	H	L 2 M T −2 I −2
irradiance ( Ee )	W m −2	M T −3
illuminance ( Ev )	L −2 J	lx
Lagrangian ( L )	J	L 2 M T −2
length ( L, l )	m	L
luminous intensity ( Iv )	cd	J

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⁻¹
1 light year = 9,46073 x 10¹⁵ m
1 litre = 1,0 x 10⁻³ m³
1 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−1	L −1 I
magnetic flux ( Φ )	Wb	L 2 M T −2 I −1
magnetic flux density (B )	T	M  T −2 I −1
magnetic dipole moment ( m, μ )	A m 2	L −2 I
magnetic vector potential ( A )	Wb m −1	L  M T −2 I −1
magnetisation ( M )	A m−1	L −1 I
mass ( m, M )	kg	M
mobility ( μ )	m 2 V −1 s −1	M −1 T 2 I
molar gas constant ( R )	J mol −1 K −1	L 2 M T −2 Θ −1
moment of inertia ( I )	kg m 2	L 2 M
momentum ( p )	kg m s −1	L  M T −1
number density ( n )	m −3	L −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−1	L  M T −2 I −2
permittivity ( ε )	F m−1	L −3 M −1 T 4 I 2
Planck constant ( h )	J s	L 2 M  T −1
power ( P )	W	L 2 M  T −3
poynting vector ( S )	W m −2	M  T −3
pressure ( p, P )	Pa	L −1 M  T −2
radiant intensity ( Ie )	W sr −1	L 2 M  T −3
resistance ( R )	Ω	L 2 M  T −3 I −2

SI Prefixes

1024	yotta	Y	10−24	yocto	y
1021	zetta	Z	10−21	zepto	z
1018	exa	E	10−18	atto	a
1015	peta	P	10−15	femto	f
1012	tera	T	10−12	pico	p
109	giga	G	10−9	nano	n
106	mega	M	10−6	micro	μ
103	kilo	k	10−3	milli	m
102	hecto	h	10−2	centi	c
101	deca	da	10−1	deci	d

 Alphabetical from S-T.

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

SI Prefixes

1024	yotta	Y	10−24	yocto	y
1021	zetta	Z	10−21	zepto	z
1018	exa	E	10−18	atto	a
1015	peta	P	10−15	femto	f
1012	tera	T	10−12	pico	p
109	giga	G	10−9	nano	n
106	mega	M	10−6	micro	μ
103	kilo	k	10−3	milli	m
102	hecto	h	10−2	centi	c
101	deca	da	10−1	deci	d

physical quantity (symbol)	SI units	dimensions
velocity ( ν, u )	m s −1	L T −1
viscosity [dynamic] ( η, μ )	Pa s	L −1 M T −1
viscosity [kinematic] ( v )	m 2 s −1	L 2 T −1
volume ( V, ν )	m 3	L 3
wavevector ( k )	m −1	L −1
weight ( W )	N	L M T −2
work ( W )	J	L 2 M T −2
Young modulus ( E )	Pa	L −1 M T −2

SI Prefixes

1024	yotta	Y	10−24	yocto	y
1021	zetta	Z	10−21	zepto	z
1018	exa	E	10−18	atto	a
1015	peta	P	10−15	femto	f
1012	tera	T	10−12	pico	p
109	giga	G	10−9	nano	n
106	mega	M	10−6	micro	μ
103	kilo	k	10−3	milli	m
102	hecto	h	10−2	centi	c
101	deca	da	10−1	deci	d

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 ^{− 2}
Massa Jenis
massa / volume --> (kg)/(m³) --> M L⁻³
Energi
massa x percepatan gravitasi x tinggi --> (kg)(m/s²)(m) --> M L² T ^{− 2}
Tekanan
gaya/luas ---> (kg)(m/s²)/m² --> M L ⁻¹ T ⁻²
Usaha
gaya x perpindahan--> (kg)(m/s²)(m)--> M L² T ⁻²
Momentum
massa x kecepatan --> (kg)(m/s) --> M L T ⁻¹
Impuls
gaya x selang waktu --> (kg)(m/s²)(s) --> M L T ⁻¹
Daya
Usaha/waktu --> (kg)(m/s²)(m)/(s) - -> M L ² T ⁻³
Berat
massa x percepatan gravitasi --> (kg)(m/s²) --> M L T ⁻²
Berat Jenis
berat/volume --> (kg)(m/s²)/(m³) --> M L ⁻² T ⁻²
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) 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?