EN ISO 80000-4:2019

Quantities and units - Part 4: Mechanics (ISO 80000-4:2019)

This document gives names, symbols, definitions and units for quantities of mechanics. Where appropriate, conversion factors are also given.

Größen und Einheiten - Teil 4: Mechanik (ISO 80000-4:2019)

Grandeurs et unités - Partie 4: Mécanique (ISO 80000-4:2019)

Le présent document donne les noms, les symboles, les définitions et les unités des grandeurs de la mécanique. Des facteurs de conversion sont également indiqués, s'il y a lieu.

Veličine in enote - 4. del: Mehanika (ISO 80000-4:2019)

Ta dokument podaja imena, simbole, definicije in enote za veličine s področja mehanike. Kadar je primerno, so navedeni tudi pretvorniki (pretvorni dejavniki).

General Information

• Status: Published
• Publication Date: 08-Oct-2019
• Withdrawal Date: 29-Apr-2020
• ICS: 01.060 - Quantities and units
• Technical Committee: CEN/SS F02 - Units and symbols
• Drafting Committee: CEN/SS F02 - Units and symbols
• Current Stage: 6060 - Definitive text made available (DAV) - Publishing
• Start Date: 09-Oct-2019
• Completion Date: 09-Oct-2019
• Ref Project: SIST EN ISO 80000-4:2019 - Quantities and units - Part 4: Mechanics (ISO 80000-4:2019)

Relations

• Replaces: EN ISO 80000-4:2013 - Quantities and units - Part 4: Mechanics (ISO 80000-4:2006)
• Effective Date: 16-Oct-2019
• Amended By: EN ISO 80000-4:2019/prA1 - Quantities and units - Part 4: Mechanics - Amendment 1 (ISO 80000-4:2019/DAmd 1:2024)
• Effective Date: 07-Jun-2023

Standards Content (Sample)

SLOVENSKI STANDARD
01-december-2019
Nadomešča:
SIST EN ISO 80000-4:2013
Veličine in enote - 4. del: Mehanika (ISO 80000-4:2019)
Quantities and units - Part 4: Mechanics (ISO 80000-4:2019)
Größen und Einheiten - Teil 4: Mechanik (ISO 80000-4:2019)
Grandeurs et unités - Partie 4: Mécanique (ISO 80000-4:2019)
Ta slovenski standard je istoveten z: EN ISO 80000-4:2019
ICS:
01.060 Veličine in enote Quantities and units
17.020 Meroslovje in merjenje na Metrology and measurement
splošno in general
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

EN ISO 80000-4
EUROPEAN STANDARD
NORME EUROPÉENNE
October 2019
EUROPÄISCHE NORM
ICS 01.060 Supersedes EN ISO 80000-4:2013
English Version
Quantities and units - Part 4: Mechanics (ISO 80000-
4:2019)
Grandeurs et unités - Partie 4: Mécanique (ISO 80000- Größen und Einheiten - Teil 4: Mechanik (ISO 80000-
4:2019) 4:2019)
This European Standard was approved by CEN on 5 May 2019.

CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this
European Standard the status of a national standard without any alteration. Up-to-date lists and bibliographical references
concerning such national standards may be obtained on application to the CEN-CENELEC Management Centre or to any CEN
member.
This European Standard exists in three official versions (English, French, German). A version in any other language made by
translation under the responsibility of a CEN member into its own language and notified to the CEN-CENELEC Management
Centre has the same status as the official versions.

CEN members are the national standards bodies of Austria, Belgium, Bulgaria, Croatia, Cyprus, Czech Republic, Denmark, Estonia,
Finland, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway,
Poland, Portugal, Republic of North Macedonia, Romania, Serbia, Slovakia, Slovenia, Spain, Sweden, Switzerland, Turkey and
United Kingdom.
EUROPEAN COMMITTEE FOR STANDARDIZATION
COMITÉ EUROPÉEN DE NORMALISATION

EUROPÄISCHES KOMITEE FÜR NORMUNG

CEN-CENELEC Management Centre: Rue de la Science 23, B-1040 Brussels
© 2019 CEN All rights of exploitation in any form and by any means reserved Ref. No. EN ISO 80000-4:2019 E
worldwide for CEN national Members.

Contents Page
European foreword . 3

European foreword
This document (EN ISO 80000-4:2019) has been prepared by Technical Committee ISO/TC 12
"Quantities and units" in collaboration with Technical Committee CEN/SS F02 “Units and symbols” the
secretariat of which is held by CCMC.
This European Standard shall be given the status of a national standard, either by publication of an
identical text or by endorsement, at the latest by April 2020, and conflicting national standards shall be
withdrawn at the latest by April 2020.
Attention is drawn to the possibility that some of the elements of this document may be the subject of
patent rights. CEN shall not be held responsible for identifying any or all such patent rights.
This document supersedes EN ISO 80000-4:2013.
According to the CEN-CENELEC Internal Regulations, the national standards organizations of the
following countries are bound to implement this European Standard: Austria, Belgium, Bulgaria,
Croatia, Cyprus, Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Iceland,
Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Republic of
North Macedonia, Romania, Serbia, Slovakia, Slovenia, Spain, Sweden, Switzerland, Turkey and the
United Kingdom.
Endorsement notice
The text of ISO 80000-4:2019 has been approved by CEN as EN ISO 80000-4:2019 without any
modification.
INTERNATIONAL ISO
STANDARD 80000-4
Second edition
2019-08
Quantities and units —
Part 4:
Mechanics
Grandeurs et unités —
Partie 4: Mécanique
Reference number
ISO 80000-4:2019(E)
©
ISO 2019
ISO 80000-4:2019(E)
© ISO 2019
All rights reserved. Unless otherwise specified, or required in the context of its implementation, no part of this publication may
be reproduced or utilized otherwise in any form or by any means, electronic or mechanical, including photocopying, or posting
on the internet or an intranet, without prior written permission. Permission can be requested from either ISO at the address
below or ISO’s member body in the country of the requester.
ISO copyright office
CP 401 • Ch. de Blandonnet 8
CH-1214 Vernier, Geneva
Phone: [phone]
Fax: [phone]
Email: [e-mail]
Website: www.iso.org
Published in Switzerland
ii © ISO 2019 – All rights reserved

ISO 80000-4:2019(E)
Contents Page
Foreword .iv
1 Scope . 1
2 Normative references . 1
3 Terms and definitions . 1
Bibliography .13
Alphabetical index .14
ISO 80000-4:2019(E)
Foreword
ISO (the International Organization for Standardization) is a worldwide federation of national standards
bodies (ISO member bodies). The work of preparing International Standards is normally carried out
through ISO technical committees. Each member body interested in a subject for which a technical
committee has been established has the right to be represented on that committee. International
organizations, governmental and non-governmental, in liaison with ISO, also take part in the work.
ISO collaborates closely with the International Electrotechnical Commission (IEC) on all matters of
electrotechnical standardization.
The procedures used to develop this document and those intended for its further maintenance are
described in the ISO/IEC Directives, Part 1. In particular, the different approval criteria needed for the
different types of ISO documents should be noted. This document was drafted in accordance with the
editorial rules of the ISO/IEC Directives, Part 2 (see www. iso. org/directives).
Attention is drawn to the possibility that some of the elements of this document may be the subject of
patent rights. ISO shall not be held responsible for identifying any or all such patent rights. Details of
any patent rights identified during the development of the document will be in the Introduction and/or
on the ISO list of patent declarations received (see www. iso.o rg/patents).
Any trade name used in this document is information given for the convenience of users and does not
constitute an endorsement.
For an explanation of the voluntary nature of standards, the meaning of ISO specific terms and
expressions related to conformity assessment, as well as information about ISO's adherence to the
World Trade Organization (WTO) principles in the Technical Barriers to Trade (TBT), see www. iso
.org/iso/foreword. html.
This document was prepared by Technical Committee ISO/TC 12, Quantities and units, in collaboration
with Technical Committee IEC/TC 25, Quantities and units.
This second edition cancels and replaces the first edition (ISO 80000-4:2006), which has been
technically revised.
The main changes compared to the previous edition are as follows:
— the table giving the quantities and units has been simplified;
— some definitions and the remarks have been stated physically more precisely.
A list of all parts in the ISO 80000 and IEC 80000 series can be found on the ISO and IEC websites.
Any feedback or questions on this document should be directed to the user’s national standards body. A
complete listing of these bodies can be found at www. iso. org/members. html.
iv © ISO 2019 – All rights reserved

INTERNATIONAL STANDARD ISO 80000-4:2019(E)
Quantities and units —
Part 4:
Mechanics
1 Scope
This document gives names, symbols, definitions and units for quantities of mechanics. Where
appropriate, conversion factors are also given.
2 Normative references
There are no normative references in this document.
3 Terms and definitions
Names, symbols, definitions and units for quantities used in mechanics are given in Table 1.
ISO and IEC maintain terminological databases for use in standardization at the following addresses:
— ISO Online browsing platform: available at https: //www .iso .org/obp
— IEC Electropedia: available at http: //www .electropedia .org/
ISO 80000-4:2019(E)
2 © ISO 2019 – All rights reserved
Table 1 — Quantities and units used in mechanics
Item No. Quantity Unit Remarks
Name Symbol Definition
4-1 mass m property of a body which expresses itself in terms of iner- kg The kilogram (kg) is one of the seven
tia with regard to changes in its state of motion as well as base units (see ISO 80000-1) of the
its gravitational attraction to other bodies International System of Units, the SI.
See also IEC 60050-113.
−3
4-2 mass density, quantity representing the spatial distribution of mass of a kg m
ρ , ρ
m
continuous material:
density
dm
ρ()r =
dV
where m is mass of the material contained in an infinitesi-
mal domain at point r and V is volume of this domain
−1 3
4-3 specific volume v kg m
reciprocal of mass density ρ (item 4-2):
v=
ρ
4-4 relative mass density, d 1 Conditions and material should be
quotient of mass density of a substance ρ and mass
specified for the reference substance.
relative density
density of a reference substance ρ :
ρ
d=
ρ
−2
4-5 surface mass density, quantity representing the areal distribution of mass of a kg m The name “grammage” should not be
ρ
A
continuous material: used for this quantity.
surface density
dm
ρ ()r =
A
dA
where m is the mass of the material at position r and A is
area
ISO 80000-4:2019(E)
Table 1 (continued)
Item No. Quantity Unit Remarks
Name Symbol Definition
−1
4-6 linear mass density, quantity representing the linear distribution of mass of a kg m
ρ
l
continuous material:
linear density
dm
ρ ()r =
l
dl
where m is the mass of the material at position r and l is
length
4-7 moment of inertia tensor (ISO 80000-2) quantity representing rotational kg m The calculation of the value requires
J
inertia of a rigid body relative to a fixed centre of rotation an integration.
expressed by the tensor product:
LJ= ωω
where L is angular momentum (ISO 80000-3) of the body
relative to the reference point and ωω is its angular velocity
(ISO 80000-3)
−1
4-8 momentum kg m s
p product of mass m (item 4-1) of a body and velocity v
(ISO 80000-3) of its centre of mass:
p=mv
4-9.1 force vector (ISO 80000-2) quantity describing interaction be- N
F
tween bodies or particles
−2
kg m s
4-9.2 weight force (item 4-9.1) acting on a body in the gravitational field N In colloquial language, the name
F
g
of Earth: “weight” continues to be used where
−2
kg m s
“mass” is meant. This practice should
Fg=m
be avoided.
g
where m (item 4-1) is the mass of the body and g is the Weight is an example of a gravitational
force. Weight comprises not only the
local acceleration of free fall (ISO 80000-3)
local gravitational force but also the
local centrifugal force due to the rota-
tion of the Earth.
4-9.3 static friction force, force (item 4-9.1) resisting the motion before a body starts N For the static friction coefficient, see
F
s
to slide on a surface item 4-23.1.
−2
static friction kg m s
4-9.4 kinetic friction force, force (item 4-9.1) resisting the motion when a body slides N For the kinetic friction factor, see
F
μ
on a surface item 4-23.2.
−2
dynamic friction force kg m s
ISO 80000-4:2019(E)
4 © ISO 2019 – All rights reserved
Table 1 (continued)
Item No. Quantity Unit Remarks
Name Symbol Definition
4-9.5 rolling resistance, force (item 4-9.1) resisting the motion when a body rolls on N For the rolling resistance factor, see
F
rr
a surface item 4-23.3.
−2
rolling drag, kg m s
rolling friction force
4-9.6 drag force force (item 4-9.1) resisting the motion of a body in a fluid N For the drag coefficient, see item 4-23.4.
F
D
−2
kg m s
4-10 impulse vector (ISO 80000-2) quantity describing the effect of force N s For a time interval [t , t ],
1 2
I
acting during a time interval:
−1
kg m s
Iptt, = tt−pp=D
() () ()
12 12
t
where p is momentum (item 4-8).
IF= dt
∫
t
where F is force (item 4-9.1), t is time (ISO 80000-3) and
[t , t ] is considered time interval
1 2
2 −1
4-11 angular momentum vector (ISO 80000-2) quantity described
...

SIST EN ISO 80000-4
SL O V EN S K I
S T ANDAR D
december 2019
Veličine in enote – 4. del: Mehanika (ISO 80000-4:2019)

Quantities and units – Part 4: Mechanics (ISO 80000-4:2019)

Größen und Einheiten – Teil 4: Mechanik (ISO 80000-4:2019)

Grandeurs et unités – Partie 4: Mécanique (ISO 80000-4:2019)

Referenčna oznaka
ICS 01.060; 17.020 SIST EN ISO 80000-4:2019 (sl)

Nadaljevanje na strani II ter od 1 do 19

© 2023-12. Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

SIST EN ISO 80000-4 : 2019
NACIONALNI UVOD
Standard SIST EN ISO 80000-4:2019 (sl), Veličine in enote - 4. del: Mehanika (ISO 80000-4:2019), ima
status slovenskega standarda in je enakovreden evropskemu standardu EN ISO 80000-3:2019 (en),
Quantities and units - Part 4: Mechanics (ISO 80000-4:2019).

NACIONALNI PREDGOVOR
Evropski standard EN ISO 80000-4:2019 je pripravil tehnični odbor ISO/TC 12 "Veličine in enote" v
sodelovanju s tehničnim odborom CEN/SS F02 "Enote in simboli", katerega sekretariat vodi CCMC.

Slovenski standard SIST EN ISO 80000-4:2019 je prevod evropskega standarda EN ISO 80000-4:2019.
V primeru spora glede besedila slovenskega prevoda v tem standardu je odločilen izvirni evropski
standard v angleškem jeziku. Slovensko izdajo standarda je pripravil tehnični odbor SIST/TC TRS
Tehnično risanje, veličine, enote, simboli in grafični simboli.

Odločitev za izdajo tega standarda je 30. 10. 2019 sprejel SIST/TC TRS Tehnično risanje, veličine,
enote, simboli in grafični simboli.

ZVEZA Z NACIONALNIMI STANDARDI

V tem dokumentu ni sklicevanja na druge standarde.

PREDHODNA IZDAJA
– SIST ISO 80000-4:2012 (sl)  Veličine in enote - 4. del: Mehanika

OPOMBE
– Povsod, kjer se v besedilu standarda uporablja izraz "mednarodni standard", v SIST EN ISO 80000-
4:2019 to pomeni "slovenski standard".

– Nacionalni uvod in nacionalni predgovor nista sestavni del evropskega standarda.

II
EVROPSKI STANDARD  EN ISO 80000-4
EUROPEAN STANDARD
NORME EUROPÉENNE
EUROPÄISCHE NORM oktober 2019
ICS 01.060
Slovenska izdaja
Veličine in enote – 4. del: Mehanika (ISO 80000-4:2019)

Quantities and units – Part 4: Grandeurs et unités – Partie Größen und Einheiten – Teil
Mechanics (ISO 80000- 4: Mécanique (ISO 80000- 4: Mechanik (ISO 80000-
4:2019) 4:2019) 4:2019)
Ta evropski standard je CEN sprejel 5. maja 2019.

Člani CEN morajo izpolnjevati določila notranjih predpisov CEN/CENELEC, s katerimi je
predpisano, da mora biti ta evropski standard brez kakršnihkoli sprememb sprejet kot
nacionalni standard. Seznami najnovejših izdaj teh nacionalnih standardov in njihovi
bibliografski podatki so na zahtevo na voljo pri Upravnem centru CEN-CENELEC ali članih CEN.

Ta evropski standard obstaja v treh uradnih izdajah (angleški, francoski in nemški). Izdaje v
drugih jezikih, ki jih člani CEN na lastno odgovornost prevedejo in izdajo ter prijavijo pri
Upravnem centru CEN-CENELEC, veljajo kot uradne izdaje.

Člani CEN so nacionalni organi za standarde Avstrije, Belgije, Bolgarije, Cipra, Češke republike,
Danske, Estonije, Finske, Francije, Grčije, Hrvaške, Irske, Islandije, Italije, Latvije, Litve,
Luksemburga, Madžarske, Malte, Nemčije, Nizozemske, Norveške, Poljske, Portugalske,
Republike Severne Makedonije, Romunije, Slovaške, Slovenije, Srbije, Španije, Švedske, Švice,
Turčije in Združenega kraljestva.

CEN
EVROPSKI ODBOR ZA STANDARDIZACIJO
EUROPEAN COMMITTEE FOR STANDARDIZATION
COMITÉ EUROPÉEN DE NORMALISATION
EUROPÄISCHES KOMITEE FÜR NORMUNG

Upravni center CEN-CENELEC: Rue de la Science 23, B-1040 Bruselj

© 2019 CEN Vse pravice do izkoriščanja v kakršnikoli obliki in na Ref. št. EN ISO 80000-4:2019
kakršnikoli način imajo nacionalni člani CEN. E

SIST EN ISO 80000-4 : 2019
VSEBINA Stran
Evropski predgovor . 3

Evropski predgovor
Ta dokument (EN ISO 80000-4:2019) je pripravil tehnični odbor ISO/TC 12 "Veličine in enote" v
sodelovanju s tehničnim odborom CEN/SS F02 "Enote in simboli", katerega sekretariat vodi
CCMC.
Ta evropski standard mora z objavo istovetnega besedila ali z razglasitvijo dobiti status
nacionalnega standarda najpozneje do aprila 2020, nacionalne standarde, ki so v nasprotju s tem
standardom, pa je treba razveljaviti najpozneje do aprila 2020.

Opozoriti je treba na možnost, da je lahko nekaj elementov tega dokumenta predmet patentnih
pravic. CEN ne prevzema odgovornosti za identifikacijo katerihkoli ali vseh takih patentnih pravic.

Ta dokument nadomešča standard EN ISO 80 000-4:2013.

V skladu z notranjimi pravili CEN/CENELEC morajo obvezno uvesti nacionalne organizacije za
standarde naslednjih držav: Avstrije, Belgije, Bolgarije, Cipra, Češke republike, Danske, Estonije,
Finske, Francije, Grčije, Hrvaške, Irske, Islandije, Italije, Latvije, Litve, Luksemburga, Madžarske,
Malte, Nemčije, Nizozemske, Norveške, Poljske, Portugalske, Republike Severne Makedonije,
Romunije, Slovaške, Slovenije, Srbije, Španije, Švedske, Švice, Turčije in Združenega kraljestva.

Razglasitvena objava
Besedilo mednarodnega standarda ISO 80000-4:2019 je CEN brez kakršnihkoli sprememb odobril
kot evropski standard EN ISO 80000-4:2019.

VSEBINA Stran
Predgovor . II
1 Področje uporabe . 6
2 Zveze s standardi . 6
3 Izrazi in definicije . 6
Literatura . 17
Abecedno kazalo . 18

Predgovor
ISO (Mednarodna organizacija za standardizacijo) je svetovna zveza nacionalnih organov za standarde
(članov ISO). Mednarodne standarde praviloma pripravljajo tehnični odbori ISO. Vsak član, ki želi delovati
na določenem področju, za katero je bil ustanovljen tehnični odbor, ima pravico biti zastopan v tem odboru.
Pri delu sodelujejo tudi vladne in nevladne mednarodne organizacije, povezane z ISO. V vseh zadevah, ki so
povezan
...