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S.I. base units and derived units

Published: 2015/09/16

Channel: Cowen Physics

Derived Units of SI Base Units

Published: 2016/01/28

Channel: lscphysics

A Level Physics - Derived Units

Published: 2015/01/19

Channel: A Level Physics Online

derived units and conversions

Published: 2014/06/02

Channel: Joanna MacDonald

SI Derived Units

Published: 2014/10/11

Channel: Dr. Anil Palve Academy

SI base units and other derived units

Published: 2014/06/21

Channel: Understanding Physics

SI derived unit

Published: 2016/01/22

Channel: WikiAudio

SI derived units

Published: 2015/12/22

Channel: Pharero Academy

SI derived unit

Published: 2014/08/19

Channel: Audiopedia

Mod 2 - Lesson 1 - SI units and derived units

Published: 2017/09/06

Channel: StreetlyScience

SI Base units and Derived Units.

Published: 2017/11/19

Channel: Smart Clinic

SI units, Derived Units : MKS, CGS, FPS system: IIT-JEE Physics Classes

Published: 2016/02/18

Channel: IIT-JEE Physics Classes

SI derived units (IN URDU / HINDI)

Published: 2015/12/23

Channel: Pharero Academy

SI Units

Published: 2016/01/08

Channel: MrsSmithsScreencast

Derived Quantities - Studi Physics

Published: 2014/06/17

Channel: Binogi

FUNDAMENTAL AND DERIVED UNITS

Published: 2016/01/06

Channel: CBSE

Derived Units

Published: 2015/09/14

Channel: Jill Rietveld

Derived Unit Conversions

Published: 2016/11/09

Channel: Crystal Cavelli

Derive SI Base Units for Special Units

Published: 2016/01/15

Channel: lscphysics

Unit Conversions - Physics with Coach Ramsay

Published: 2013/08/28

Channel: Paul Ramsay

[1.2] Base quantity & derived quantity

Published: 2014/11/25

Channel: SPM Malaysia IPTV

derived quantities

Published: 2012/07/14

Channel: Ritesh Dalal

S I base units and derived units

Published: 2017/06/12

Channel: Love Basheer

Derived unit Meaning

Published: 2015/04/18

Channel: SDictionary

Class 11 Physics - Fundamental & Derived Units

Published: 2016/06/10

Channel: Avanti Gurukul

Units and measurements part 1 : Base units, derived units and the SI system

Published: 2016/08/12

Channel: Physics ab initio

Unit Conversion & Significant Figures: Crash Course Chemistry #2

Published: 2013/02/19

Channel: CrashCourse

derived units

Published: 2016/09/30

Channel: Jason Taylor

Basic and derived quantities and units

Published: 2013/08/27

Channel: Tahir Farooq

14. Physics | Class 11 | Units | SI Unit of Derived Quantities | by Pramod Niranjan

Published: 2017/05/09

Channel: Pramod Niranjan

SI Units, Their Prefixes, and Derived Units

Published: 2013/09/27

Channel: Crystal Cavelli

General Chemistry - Derived Units

Published: 2014/06/19

Channel: mdruane

Derived units, scalars and vectors - A level Physics

Published: 2014/04/06

Channel: Chris Gozzard

Unit 4: Derived Units part 1

Published: 2016/09/26

Channel: Alison Buescher

Derived Quantities | Introduction to Physics

Published: 2014/07/14

Channel: myhometuition

Relating Derived Units to the Seven SI Standards

Published: 2012/11/03

Channel: silencedidgood

2 Derived Units

Published: 2018/01/30

Channel: Nicholas Grossoehme

Derived Units - How to calculate Derived units using Fundamental units (Steps )

Published: 2017/02/06

Channel: Trans E - Learning

SI Units

Published: 2017/08/08

Channel: Doug Adomatis

Physical Quantities and Units - A level Physics

Published: 2015/01/25

Channel: Chris Gozzard

What Is The Unit Of Force In The SI System?

Published: 2017/07/16

Channel: simple sparky

Derived Unit

Published: 2017/07/27

Channel: Domiaxe

What Are The Different Units Of Force

Published: 2017/07/15

Channel: simple sparky

What Is The Unit Of Force In The SI System?

Published: 2017/12/02

Channel: Sri Forewarning

A Level Physics - Base Units

Published: 2015/01/19

Channel: A Level Physics Online

What are SI Units?

Published: 2015/05/28

Channel: ScienceWithMe!

Physical Quantities and Units for Class 11 | in HINDI | EduPoint

Published: 2016/07/29

Channel: EduPoint

Derived Units 2

Published: 2015/09/30

Channel: Nicole Mabante

SI Base and derived units( Physical Quantities ) -Tutorial

Published: 2017/11/19

Channel: Ambidextrous Network

SI Units and Density

Published: 2014/11/05

Channel: Teacher's Pet

The International System of Units (SI) specifies a set of seven base units from which all other SI units of measurement are derived. These **SI derived units** are either dimensionless, or can be expressed as a product of one or more of the base units, possibly scaled by an appropriate power of exponentiation.

Many derived units do not have special names. For example, the SI derived unit of area is the square metre (m^{2}) and the SI derived unit of density is the kilogram per cubic metre (kg/m^{3} or kg m^{−3}). However, 22 derived units are recognized by the SI with special names, which are written in lowercase. However, the symbols for units named after persons, are always written with an uppercase initial letter. For example, the symbol for the hertz is "Hz"; but the symbol for the metre is "m".^{[1]}

The International System of Units assigns special names to 22 derived units, which includes two dimensionless derived units, the radian (rad) and the steradian (sr).

Name | Symbol | Quantity | Equivalents | SI base unit Equivalents |
---|---|---|---|---|

hertz | Hz | frequency | 1/s | s^{−1} |

radian | rad | angle | m/m | 1 |

steradian | sr | solid angle | m^{2}/m^{2} |
1 |

newton | N | force, weight | kg⋅m/s^{2} |
kg⋅m⋅s^{−2} |

pascal | Pa | pressure, stress | N/m^{2} |
kg⋅m^{−1}⋅s^{−2} |

joule | J | energy, work, heat | N⋅m C⋅V W⋅s |
kg⋅m^{2}⋅s^{−2} |

watt | W | power, radiant flux | J/s V⋅A |
kg⋅m^{2}⋅s^{−3} |

coulomb | C | electric charge or quantity of electricity | s⋅A F⋅V |
s⋅A |

volt | V | voltage, electrical potential difference, electromotive force | W/A J/C |
kg⋅m^{2}⋅s^{−3}⋅A^{−1} |

farad | F | electrical capacitance | C/V s/Ω |
kg^{−1}⋅m^{−2}⋅s^{4}⋅A^{2} |

ohm | Ω | electrical resistance, impedance, reactance | 1/S V/A |
kg⋅m^{2}⋅s^{−3}⋅A^{−2} |

siemens | S | electrical conductance | 1/Ω A/V |
kg^{−1}⋅m^{−2}⋅s^{3}⋅A^{2} |

weber | Wb | magnetic flux | J/A T⋅m ^{2} |
kg⋅m^{2}⋅s^{−2}⋅A^{−1} |

tesla | T | magnetic field strength, magnetic flux density | V⋅s/m^{2}Wb/m ^{2}N/(A⋅m) |
kg⋅s^{−2}⋅A^{−1} |

henry | H | electrical inductance | V⋅s/A Ω⋅s Wb/A |
kg⋅m^{2}⋅s^{−2}⋅A^{−2} |

degree Celsius | °C | temperature relative to 273.15 K | K | K |

lumen | lm | luminous flux | cd⋅sr | cd |

lux | lx | illuminance | lm/m^{2} |
m^{−2}⋅cd |

becquerel | Bq | radioactivity (decays per unit time) | 1/s | s^{−1} |

gray | Gy | absorbed dose (of ionizing radiation) | J/kg | m^{2}⋅s^{−2} |

sievert | Sv | equivalent dose (of ionizing radiation) | J/kg | m^{2}⋅s^{−2} |

katal | kat | catalytic activity | mol/s | s^{−1}⋅mol |

Name | Symbol | Quantity | Expression in terms of SI base units |
---|---|---|---|

square metre | m^{2} |
area | m^{2} |

cubic metre | m^{3} |
volume | m^{3} |

metre per second | m/s | speed, velocity | m⋅s^{−1} |

cubic metre per second | m^{3}/s |
volumetric flow | m^{3}⋅s^{−1} |

metre per second squared | m/s^{2} |
acceleration | m⋅s^{−2} |

metre per second cubed | m/s^{3} |
jerk, jolt | m⋅s^{−3} |

metre per second to the fourth | m/s^{4} |
snap, jounce | m⋅s^{−4} |

radian per second | rad/s | angular velocity | s^{−1} |

radian per second squared | rad/s^{2} |
angular acceleration | s^{−2} |

newton second | N⋅s | momentum, impulse | m⋅kg⋅s^{−1} |

newton metre second | N⋅m⋅s | angular momentum | m^{2}⋅kg⋅s^{−1} |

newton metre | N⋅m = J/rad | torque, moment of force | m^{2}⋅kg⋅s^{−2} |

newton per second | N/s | yank | m⋅kg⋅s^{−3} |

reciprocal metre | m^{−1} |
wavenumber, optical power, curvature, spatial frequency | m^{−1} |

kilogram per square metre | kg/m^{2} |
area density | m^{−2}⋅kg |

kilogram per cubic metre | kg/m^{3} |
density, mass density | m^{−3}⋅kg |

cubic metre per kilogram | m^{3}/kg |
specific volume | m^{3}⋅kg^{−1} |

mole per cubic metre | mol/m^{3} |
molarity, amount of substance concentration | m^{−3}⋅mol |

cubic metre per mole | m^{3}/mol |
molar volume | m^{3}⋅mol^{−1} |

joule second | J⋅s | action | m^{2}⋅kg⋅s^{−1} |

joule per kelvin | J/K | heat capacity, entropy | m^{2}⋅kg⋅s^{−2}⋅K^{−1} |

joule per kelvin mole | J/(K⋅mol) | molar heat capacity, molar entropy | m^{2}⋅kg⋅s^{−2}⋅K^{−1}⋅mol^{−1} |

joule per kilogram kelvin | J/(K⋅kg) | specific heat capacity, specific entropy | m^{2}⋅s^{−2}⋅K^{−1} |

joule per mole | J/mol | molar energy | m^{2}⋅kg⋅s^{−2}⋅mol^{−1} |

joule per kilogram | J/kg | specific energy | m^{2}⋅s^{−2} |

joule per cubic metre | J/m^{3} |
energy density | m^{−1}⋅kg⋅s^{−2} |

newton per metre | N/m = J/m^{2} |
surface tension, stiffness | kg⋅s^{−2} |

watt per square metre | W/m^{2} |
heat flux density, irradiance | kg⋅s^{−3} |

watt per metre kelvin | W/(m⋅K) | thermal conductivity | m⋅kg⋅s^{−3}⋅K^{−1} |

square metre per second | m^{2}/s |
kinematic viscosity, thermal diffusivity, diffusion coefficient | m^{2}⋅s^{−1} |

pascal second | Pa⋅s = N⋅s/m^{2} |
dynamic viscosity | m^{−1}⋅kg⋅s^{−1} |

coulomb per square metre | C/m^{2} |
electric displacement field, polarization density | m^{−2}⋅s⋅A |

coulomb per cubic metre | C/m^{3} |
electric charge density | m^{−3}⋅s⋅A |

ampere per square metre | A/m^{2} |
electric current density | m^{−2}⋅A |

siemens per metre | S/m | electrical conductivity | m^{−3}⋅kg^{−1}⋅s^{3}⋅A^{2} |

siemens square metre per mole | S⋅m^{2}/mol |
molar conductivity | kg^{−1}⋅s^{3}⋅A^{2}⋅mol^{−1} |

farad per metre | F/m | permittivity | m^{−3}⋅kg^{−1}⋅s^{4}⋅A^{2} |

henry per metre | H/m | magnetic permeability | m⋅kg⋅s^{−2}⋅A^{−2} |

volt per metre | V/m | electric field strength | m⋅kg⋅s^{−3}⋅A^{−1} |

ampere per metre | A/m | magnetization, magnetic field strength | m^{−1}⋅A |

candela per square metre | cd/m^{2} |
luminance | m^{−2}⋅cd |

lumen second | lm⋅s | luminous energy | s⋅cd⋅sr |

lux second | lx⋅s | luminous exposure | m^{−2}⋅s⋅cd⋅sr |

coulomb per kilogram | C/kg | exposure (X and gamma rays) | kg^{−1}⋅s⋅A |

gray per second | Gy/s | absorbed dose rate | m^{2}⋅s^{−3} |

ohm metre | Ω⋅m | resistivity | m^{3}⋅kg⋅s^{−3}⋅A^{−2} |

kilogram per metre | kg/m | linear mass density | m^{−1}⋅kg |

coulomb per metre | C/m | linear charge density | m^{−1}⋅s⋅A |

mole per kilogram | mol/kg | molality | kg^{−1}⋅mol |

kilogram per mole | kg/mol | molar mass | kg⋅mol^{−1} |

metre per cubic metre | m/m^{3} |
fuel efficiency | m^{−2} |

kilogram per second | kg/s | mass flow rate | kg⋅s^{−1} |

joule per tesla | J/T | magnetic dipole moment | m^{2}⋅A |

watt per cubic metre | W/m^{3} |
spectral irradiance, power density | m^{−1}⋅kg⋅s^{−3} |

kelvin per watt | K/W | thermal resistance | m^{−2}⋅kg^{−1}⋅s^{3}⋅K |

reciprocal kelvin | K^{−1} |
thermal expansion coefficient | K^{−1} |

kelvin per metre | K/m | temperature gradient | m^{−1}⋅K |

square metre per volt second | m^{2}/(V⋅s) |
electron mobility | kg^{−1}⋅s^{2}⋅A |

joule per square metre second | J/(m^{2}⋅s) |
energy flux density | kg⋅s^{−3} |

reciprocal pascal | Pa^{−1} |
compressibility | m⋅kg^{−1}⋅s^{2} |

reciprocal henry | H^{−1} |
magnetic reluctance | m^{−2}⋅kg^{−1}⋅s^{2}⋅A^{2} |

weber per metre | Wb/m | magnetic vector potential | m⋅kg⋅s^{−2}⋅A^{−1} |

weber metre | Wb⋅m | magnetic moment | m^{3}⋅kg⋅s^{−2}⋅A^{−1} |

tesla metre | T⋅m | magnetic rigidity | m⋅kg⋅s^{−2}⋅A^{−1} |

joule per square metre | J/m^{2} |
radiant exposure | kg⋅s^{−2} |

cubic metre per mole second | m^{3}/(mol⋅s) |
catalytic efficiency | m^{3}⋅s^{−1}⋅mol^{−1} |

kilogram square metre | kg⋅m^{2} |
moment of inertia | m^{2}⋅kg |

newton metre second per kilogram | N⋅m⋅s/kg | specific angular momentum | m^{2}⋅s^{−1} |

hertz per second | Hz/s | frequency drift | s^{−2} |

lumen per watt | lm/W | luminous efficacy | m^{−2}⋅kg^{−1}⋅s^{3}⋅cd⋅sr |

ampere radian | A⋅rad | magnetomotive force | A |

metre per henry | m/H | magnetic susceptibility | m^{−1}⋅kg^{−1}⋅s^{2}⋅A^{2} |

watt per steradian | W/sr | radiant intensity | m^{2}⋅kg⋅s^{−3} |

watt per steradian metre | W/(sr⋅m) | spectral intensity | m⋅kg⋅s^{−3} |

watt per steradian square metre | W/(sr⋅m^{2}) |
radiance | kg⋅s^{−3} |

watt per steradian cubic metre | W/(sr⋅m^{3}) |
spectral radiance | m^{−1}⋅kg⋅s^{−3} |

watt per metre | W/m | spectral power | m⋅kg⋅s^{−3} |

Some other units such as the hour, litre, tonne, bar and electronvolt are not SI units, but are widely used in conjunction with SI units.

Until 1995, the SI classified the radian and the steradian as *supplementary units*, but this designation was abandoned and the units were grouped as derived units.^{[3]}

- International System of Quantities (ISQ)
- International Vocabulary of Metrology
- Metric prefix
- Metric system
- Planck units

**^**Suplee, Curt (2 July 2009). "Special Publication 811".**^**International Bureau of Weights and Measures (2006),*The International System of Units (SI)*(PDF) (8th ed.), ISBN 92-822-2213-6, archived (PDF) from the original on 2017-08-14**^**"Resolution 8 of the CGPM at its 20th Meeting (1995)". Bureau International des Poids et Mesures. Retrieved 2014-09-23.

- I. Mills, Tomislav Cvitas, Klaus Homann, Nikola Kallay, IUPAC (June 1993).
*Quantities, Units and Symbols in Physical Chemistry*(2nd ed.). Blackwell Science Inc. p. 72.

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