More Related Content
What's hot
What's hot (20)
Similar to Si Derived Units.pdf
Similar to Si Derived Units.pdf (20)
Recently uploaded
Recently uploaded (20)
Si Derived Units.pdf
- 1. SI DERIVED UNITS A 6.1 Some SI Derived Units expressed in SI Base Unita SI Unit Physical quantity Symbol1 Name square metre cubic metre m2 Area Volumee m Speed, velocity Angular velocity i Acceleration metre per second radian per second metre per second m/s o m s-l rad/s or rad s-1 m/s2 or ms-2 square radian per second rad/s2 or rad s-2 Angular acceleration Square per metre kilogram per cubic m-1 Wave number Density, mass density kg/m3 or kg m-3 metre A/m2 or A m2 Current density ampere per square metre Magnetic field strength, magnetic ampere per metre intensity, magnetic moment density Concentration (of amount of substance) Specific volume A/m or A m-1 mole per cubic metre mol/m3 or mol mn3 m3/kg or m3 kg cubic metre per kilogram candela per square Luminance, intensity of illumination cd/m2 or cd m2 metre Kinematic viscosity square metre per m2/s or m2 s- second Momentum kilogram metre per kg m s secondd Moment of inertia Radius of gyration Linear/superficial/volume expansivitles Flow rate kilogram square metre kg m metre m per kelvin K-1 cubic metre per m3 s-l second
- 2. ENDICES A 6.2 SI Derived Units with special names Physical quantity SI Unit Expression in terms of other Expression in terms of SI base Units Name Symbol units s1 Frequency hertz Hz kg m s2 or kg m/s2 Force newtona N kg m-l s2 or kg /s2 mn kg m2 s-2 or kg m2/s2 kg m2 s-3or kg m2/s3 Pressure, stressS pascal N/m2 or N m-2 Pa N m Energy, work, quantity of heat joule J Power, radiant flux W J/s or J s-l watt As Quantity of electricity, electric charge Electric potential, potential difference, electromotive force coulomb C kg m2s 3 A-l or kg m2/s3 A volt V W/A or WA-1 Capacitance Electric resistance A2 s4 kg1 m2 C/V /A 4/ Vs orJ/A Wb/m2 farad kgm2 s-3 A-2 m-2 kg-1 s3 A2 kg m2 s2 A-1 kg s-2 A-1 ohm Conductance siemens S Magnetic flux Magnetic field, magnetiC flux density, magnetic induction weber Wb tesla T Inductance henry kg m2 s-2 A2 cd /sr H Wb/A Luminous flux, luminouss lumen Im power Tiluminance Activity(of a radioo nuclide/radioactive source) lux lm/m2 m2 cd sr-1 becquerel Bq S-1 Absorbed dose, absorbed dose index gray Gy J/kg m2/s2 or m2 s-2 A6.3 Some SI Derived Units expressed by means of SI Units with special n a SI Unit Physical quantity Name Symbol Expression in terms of SI base units m A Magnetic moment Dipole moment Dynamic viscosity Joule per tesla coulomb metre JT C m sAm poiseiulles or pascal second or newton Pl or Pa s or m kg s N s m second per square metre Torque, couple, moment offorce Surface tension Power density, iradiance, heat flux density newton metre N m m kgs newton permetre watt per squaremetre N/m W/m kg s kg s
- 3. Joule per kelvin joule per kilogram kelvin J/K J/kg K m kg s K m s K Heat capacity, entropy Specific heat capacity, specific entropy Specific energy, latent heat J/kg ms joule per kilogramn Radiant intensity Thermal conductivity Energy density Electric field strength Electric charge density watt per steradian watt per metre kelvin joule per cubic nmetre volt per metre coulomb per cubic metre W sr Wm' K J/m V/m C/m kgm s sr m kgs' K kg m* s* m kg s' A m As coulomb per square C/m m As Electric flux density metre Permittivity Permeability Molar energy Angular momentum, Planck's constant farad per metre henry per metre joule per mole joule second F/m H/m J/mol m kg' s'A m kgs* A m kgs'mol kg m' s Js J/mol K m kgs*K mol joule per mole kelvin Molar entropy, molar heat capacity coulomb per kilogram C/kg kg' s A Exposure (x-rays and rays Absorbed dose rate gray per second Gy/s m's Pa newton per square N/m or Nm kgm' s Compressibility per pascal m kg' s Elastic moduli metre Pressure gradienat pascal per metre Pa/m or Nm* kg m* s Surface potential joule per kilogramn m s* J/kg orr Nm/kg Pressure energy Impulse Angular impulse Specificresistance Surface energy kg m s kgms kg m's kg m s A kg s pascal cubic metre Pa m or N m newton second Ns newton metre second Nms ohm metre Qm joule per square metre J/m or N/m
- 4. D I M E N S I O N A L F O R M U L A Relationship with other physical quantities UANTITTES Dimensions imensional Physical quantity formula S. No Length x breadth M 1T Area Length x breadth x height L' M°L T Volume Mass/volume [MV[L'] or[ML') ML'T Mass density 1/timeperiod VIT [M° LT' Frequency Displacement/time [LIT M°LT' Velocity, speed Velocity /time Lr V[T] MLT Acceleration Mass x acceleration [M]LT' [M LT' Force Forcex time [M LT IT] [M LT' Impulse Forcexdistance MLT'1 L MLTT Work, Energy Work/time [MLTV [T [MLT] 10. Power Mass xvelocity [M [LT' MLT 11 Momentum Force/area [M LT VL [MLT 12. Pressure, stress Change in dimension L]/[L] or[L'j/[Lj M°LT 13 Strain Oringinal dimension MLT [MLT IM°L°T°] 14 Modulus ofelasticity Stress/strain Surface tension Force/length [MLT VLI [MLT 15 Surface enerEy Energy/area [MLTVL MLT 16. Velocity Velocity/distance [LTVL) MLT 17. gradient 18 Pressure gradient Pressure/distance [MLT*V [MLT 19. Pressure energy Pressure x volume [MLT][L [MLT 20 Coefficient of MLT Force/area x velocityY gradient [MLT LLT/LI viscosity 21 Angle, Angular displacement [M'LTI Arc/radius [L[LI 22 M'LT Trigonometric ratio (sine, cos0, tan6, etc.) Length/length [LVILI 23 Angular velocity Angle/time L"VT] [M'L'TT
- 5. P P E N D I C E S Angular acceleration Angular velocity/time TVT (M°LT'I Radius of gyration L) [M'LT Distance Moment ofinertia Mass x (radius ofgyration [M][L'] [MI T 26 IMI T' Moment of inertia x angular [ML'JIT'I velocity 27 Angular momentum Moment of force, Force x distance (MLT'J[LJ ML T' 28, moment ofcouple Torque Angular momentum/time, [ML'T']/[T] IML T' Or or Force x distance [MLT' JL 30 Angular frequency 21t Frequency [T'] MLT Wavelength Distance [L MLT 31. Hubble constant Recession speed/distance LT'VLI MLT Intensity ofwave Energy/timeyarea MIL' TTVLL'1 ML'T Radiation pressure Intensityof wave Speedoflight [MTVLT' MLT1 34. 35 Energy density Energy/volume [MILTy L1 MLT 36. Critical velocity Reynold's umber x coefficient of viscocity M°1T°MLT [MLILI [MLT' Mass density x radius 37 Escape velocity (2 acceleration due to gravity xearth'sradius) 2 [LTx[L MLT'] Heat energy, internal Work (Force x distance) [MLT ]L] ML T 38. energy Kinetic energy (1/2) mass x (velocity) [M] [LT'} [MLT 40 Potential energy Mass x acceleration due to gravity x height [M LTIL [ML T 41 Rotational kinetic 4* moment ofinertia x (angular velocityy [ML'T][M }x[T"f ML'T energy 42. Efficiency [MLT* Output work orenerg8y Input work or energy ML'T [ML'T* 1 49 Angular impulse Torque x time [ML'T'1(T MLTI 44 Gravitational IMLT 1LC M IM Forcex(distance M'LT) constant mass mass Planck constant Energy/trequency [ML'T)/T [ML'T'1
- 6. PHYSICS [ML TV[K] Heat energy/temperature MIT K Heat capacity, 46 entropy HeatEnergy [MLTVIMIK] [MLTK Specific heat capacity Mass x temperature [ML TVM Heat energy/mass [ML T Latent heat LI/LIK] Changeindimension Original dimensionx temperature [MLK 1 9 Thermal expansion coefficient or Thermal expansivity [MLTIIL) HeatenegY *thickness Area x temperature x time MLTK' S0 Thermal conductivity Volume x(changeinpressure) (changein volume) Lj[ML 'T*] [L [MLT) Bulk modulus or(compressibility) (Velocity) lradius [LT' /[L] [M'LT Centripetal acceleration (Energy/areaxtime)) (Temperature) [MT (T] K M TK Stefan constant Wavelength x temperature L [K) M LT°K Wien constant Energy/temperature [MIL T*VK] LML' TK1 Boltzmann constant [MLTL mol) [K] [MTK Pressurexvolume mole xtemperature Universal gas constant mol ] Charge Currentx time [A] [T [MLTA] Current density Current/area [A]/[L' MLTA Work/charge [ML'TV[AT] ML TA] Voltage, electric potential, electromotive force 59 ML T A IMLT A'] [A 60 Resistance Potential difference Current 61 Capacitance Charge/potential difference [ML'T A [AT] [ML T'A] ML' T A [ML' TA*] LVLI 62 Electrical resistivity or (electrical Resistance x area length conductivity' Electric field IMLTA Electrical force/charge [MLTV[AT] 64 Electric flux EML T A"] Electric ficld xarea MLT AL']
- 7. [M LTA] Electric dipole Torque/electric field [ML T 65 moment (MLT' A"] [MLTA* Electricfield strength or electric intensity [ML'TA) L 66. Potential difference distance [MLTV[A]L) MLTA Magnetic field, magnetic flux density, magnetic induction 67. Force Current length [MTA) L MLTA1 68 Magnetic flux Magnetic field xarea [MT AA Magnetic fux Current [ML'TA" [A] 69 Inductance Torque/magneticfield [MLT]/[MT A*][M'LTA} 70 Magnetic dipole moment or Or CuITentxarea AJL L'A] ' MLTAJ Magnetic moment Magnetic field strength, magnetic intensity or magnetic moment density Volumee MLTA Permittivity constant Charge x charge [AT][AT] [MLTJLF (offree space) 4T xelectricforcex (distance) Permeability constant (of free space) [M°L'TIMLTIUMTA [A][AJL] 27 forcexdistance current currentxlength LT LT] [M°LT] Speedofightinvacuum Speed oflightinmedium Refractive index [ATmol] M'LTAmol Avogadro constantx elementary charge Faraday constant 27t/wavelength [MLT|/[ [MLT Wave number [MLTV[T] MI'T Radiant flux, RadiantBnergyemitted/time power [ML'T/ [M°LTI IML T Luminosity ofradiant Radiant powerorradiantfhusofsource flux or radiant 18 Solid angle intensity [ML TVIT [MLT Luminous energy emited Luminous power or luminous flux of time Source
- 8. [ML T'] [MLT 2 Luminousflux ML T Luminousintensityor illuminatingpowerof Soildangie 80. [ML' TVL [ML'T S O u r c e Luninous intensity Intensityof illumination or 81 (distance) [ML'T] [MILT'] luminance Luminous fiux ofa source of gvenwavelength Juminous filx ofpeaksensitivityy wavelength (555 nm) source of same powver MLT) 82 Relative luminosity [ML' T/[MLT] MLT Total luminous flux 83. Luminous efficiency Total radiant flux Luminous flux incident [MLTVL [ML'T) Iluminance or illumination 84 area (sum ofmasses ofnucleons)- (mass ofthe nucleus) [M [ML'T 85. Mass defect Binding energy of nucleus Mass defect x (speed oflight [M[LTr in vacuum 86. [ML' T'] Decay constant 0.693/halflife [T] [MLT 87. 88. Resonant frequency [M'L' A°T (Inductance x capacitance) 2 [MLTA? [MLTA?J 89 Quality factor or Q factor of coil Resonant frequency x inductance [T]MLTA] [M'LT] Resistance [MLPTA 90 Power of lens (Focallength [ML'T] 91. Magnification Image distance Object distance [L]/L] [M'LT] 92 Fluid flow rate (T/8) (pressure)x (radius viscosity coefficient)x length (ML T] M'L'T] IML'T] li 93 Capacitive reactance (Angular frequency x capacitance ITTM'L'T'AT' [MLT A 94 Inductive reactance (Angular frequency x inductance) ITIML T A) [MLT A