Everything about units of measurement. Units of measurement of physical quantities

This guide has been compiled from various sources. But its creation was prompted by a small book "Mass Radio Library" published in 1964, as a translation of O. Kroneger's book in the GDR in 1961. Despite its such antiquity, it is my reference book (along with several other reference books). I think time does not have power over such books, because the foundations of physics, electrical and radio engineering (electronics) are unshakable and eternal.

Units of measurement for mechanical and thermal quantities.
Units of measurement for all other physical quantities can be defined and expressed in terms of basic units of measurement. The units obtained in this way, in contrast to the basic ones, are called derivatives. To obtain a derived unit of measurement of any quantity, it is necessary to choose a formula that would express this quantity in terms of other quantities already known to us, and assume that each of the known quantities included in the formula is equal to one unit of measurement. A number of mechanical quantities are listed below, formulas for their determination are given, it is shown how the units of measurement of these quantities are determined.
Unit of speed v - meter per second (m / s).
A meter per second is the speed v of such a uniform movement, at which the body travels a path s equal to 1 m in time t = 1 sec:

1v = 1m / 1sec = 1m / s

Acceleration unit but - meter per square second (m / s 2).

Meter per second squared

- acceleration of such an equally variable motion, in which the speed changes by 1 m! sec in 1 sec.
Unit of strength F - newton (and).

Newton

- the force that imparts an acceleration a equal to 1 m / sec 2 to a mass of m in 1 kg:

1n = 1 Kg× 1m / s 2 = 1 (kg × m) / s 2

Unit of work A and energy- joule (j).

Joule

- the work performed by a constant force F, equal to 1 n on the path s in 1 m, traversed by the body under the action of this force in the direction coinciding with the direction of the force:

1j = 1n × 1m = 1n * m.

Power unit W -watt (Tue).

Watt

- the power at which work A is performed during the time t = -l sec, equal to 1 J:

1W = 1J / 1sec = 1J / sec.

Unit of the amount of heat q - joule (j). This unit is determined from the equality:

which expresses the equivalence of thermal and mechanical energy. Coefficient k take equal to one:

1J = 1 × 1J = 1J

Units of measurement of electromagnetic quantities
Unit of electric current A - ampere (A).

The strength of an unchanging current, which, passing through two parallel rectilinear conductors of infinite length and negligible circular cross-section, located at a distance of 1 m from one another in a vacuum, would cause a force between these conductors equal to 2 × 10 -7 Newtons.

The unit of the amount of electricity (unit of electrical charge) Q - pendant (To).

Pendant

- the charge transferred through the cross-section of the conductor in 1 second at a current strength equal to 1 a:

1k = 1a × 1sec = 1a × sec

Electrical potential difference unit (electrical voltage U, electromotive force E) - volt (in).

Volt

- the potential difference of two points of the electric field, when moving between which the charge Q in 1 k, work is done in 1 J:

1v = 1j / 1k = 1j / k

Unit of electrical power R - watt (Tue):

1w = 1w × 1a = 1w × a

This unit is the same as the unit of mechanical power.

Unit of capacity WITH - farad (f).

Farad

- the capacitance of the conductor., the potential of which rises by 1 V, if a charge of 1 k is applied to this conductor:

1ph = 1k / 1v = 1k / v

Unit of electrical resistance R - ohm (ohm).

- the resistance of such a conductor through which a current flows with a force of 1 A at a voltage at the ends of the conductor of 1 V:

1om = 1v / 1a = 1v / a

The unit of absolute dielectric constant ε- farad per meter (f / m).

Farad per meter

is the absolute dielectric constant of the dielectric, when filled with a flat capacitor with plates of area S 1 m each 2 each and the distance between the plates d ~ 1 m acquires a capacity of 1 f.
Formula expressing the capacitance of a flat capacitor:

From here

1ph \ m = (1ph × 1m) / 1m 2

Unit of magnetic flux Ф and flux linkage ψ - volt-second or weber (wb).

Weber

- a magnetic flux, with a decrease in which to zero for 1 second, in the circuit coupled with this flux, e is generated. etc. with. induction equal to 1 in.
Faraday - Maxwell law:

E i = Δψ / Δt

where Ei - NS. etc. with. induction arising in a closed loop; ΔW is the change in the magnetic flux coupled to the circuit during the time Δ t :

1vb = 1v * 1sec = 1v * sec

We recall that for a single loop the notion of flow Ф and flux linkage ψ match up. For a solenoid with the number of turns ω, through the cross section of which the flux Φ flows, in the absence of scattering, the flux linkage
Unit of magnetic induction B - tesla (tl).

Tesla

- the induction of such a uniform magnetic field, in which the magnetic flux f through the area S in 1 m *, perpendicular to the direction of the field, is equal to 1 wb:

1tl = 1wb / 1m 2 = 1wb / m 2

Unit of tension magnetic field H - ampere per meter (ah! m).

Ampere per meter

- the intensity of the magnetic field created by a rectilinear infinitely long current with a force of 4 pa at a distance r = .2m from the conductor with current:

1a / m = 4π a / 2π * 2m

Inductance unit L and mutual inductance M - Henry (gn).

- inductance of such a circuit, with which the magnetic flux of 1 wb is surrounded, when a current of 1 a flows along the circuit:

1H = (1v × 1sec) / 1a = 1 (in × sec) / a

Unit of magnetic permeability μ (mu) - henry per meter (gn / m).

Henry per meter

is the absolute magnetic permeability of a substance in which, with a magnetic field strength of 1 a / m the magnetic induction is 1 tl:

1gn / m = 1wb / m 2 / 1a / m = 1wb / (a ​​× m)

Relationships between units of magnetic quantities
in SGSM and SI systems
In the electrical and reference literature, published before the introduction of the SI system, the magnitude of the magnetic field strength H often expressed in oersteds (NS), the magnitude of the magnetic induction IN - in gauss (rs), magnetic flux Ф and flux linkage ψ - in Maxwells (μs).
1e = 1/4 π × 10 3 a / m; 1a / m = 4π × 10 -3 Oe;

1gc = 10 -4 tl; 1tl = 10 4 gf;

1μs = 10 -8 wb; 1wb = 10 8 μs

It should be noted that the equalities are written for the case of a rationalized practical system ISSA, which entered the SI system as an integral part. From a theoretical point of view, it would be more correct in O in all six relations, replace the equal sign (=) with the match sign (^). For example

1e = 1 / 4π × 10 3 a / m

which means:

a field strength of 1 Oe corresponds to a strength of 1 / 4π × 10 3 a / m = 79.6 a / m

The fact is that the units of e, rs and μs belong to the CGSM system. In this system, the unit of current strength is not the main one, as in the SI system, but the derivative.Therefore, the dimensions of the quantities characterizing the same concept in the CGSM and SI systems turn out to be different, which can lead to misunderstandings and paradoxes if we forget about this circumstance. When performing engineering calculations, when there is no basis for such misunderstandings
Non-system units
Some math and physical concepts
used in radio engineering
Like the concept of the speed of movement, in mechanics, in radio engineering, there are similar concepts, such as the rate of change of current and voltage.
They can be both averaged over the course of the process, and instantaneous.

i = (I 1 -I 0) / (t 2 -t 1) = ΔI / Δt

At Δt -> 0, we obtain instantaneous values ​​of the current rate of change. It most accurately characterizes the nature of the change in value and can be written in the form:

i = lim ΔI / Δt = dI / dt
Δt-> 0

Moreover, you should pay attention - the averaged values ​​and instantaneous values ​​can differ tens of times. This is especially clearly seen when a varying current flows through circuits with a sufficiently large inductance.
Decibel
To assess the ratio of two quantities of the same dimension in radio engineering, a special unit is used - the decibel.

K u = U 2 / U 1

Voltage gain;

K u [dB] = 20 log U 2 / U 1

Voltage gain in decibels.

Ki [dB] = 20 log I 2 / I 1

Current gain in decibels.

Kp [dB] = 10 log P 2 / P 1

Power gain in decibels.

The logarithmic scale also allows, on the graph of normal sizes, to depict functions that have a dynamic range of parameter change in several orders of magnitude.

To determine the signal power in the receiving area, another logarithmic unit of DBM is used - dcibells per meter.
Signal strength at the receiving point in dbm:

P [dBm] = 10 log U 2 / R +30 = 10 log P + 30. [dBm];

The effective load voltage at a known P [dBm] can be determined by the formula:

Dimensional coefficients of basic physical quantities

In accordance with state standards it is allowed to use the following multiples and sub-multiples - prefixes:
Table 1 .
Basic unit Voltage
U
Volt
Current
Ampere
Resistance
R, X
Ohm
Power
P
Watt
Frequency
f
Hertz
Inductance
L
Henry
Capacity
C
Farad
Dimensional factor
T = tera = 10 12 - - Volume - THz - -
G = giga = 10 9 GW GA Gom GW GHz - -
M = mega = 10 6 MV MA MOhm MW MHz - -
K = kilo = 10 3 Kv CA KOhm KW KHz - -
1 IN BUT Ohm W Hz Mr. F
m = milli = 10 -3 mV mA mW MHz mH mF
mk = micro = 10 -6 μV μA μO μW - μH uF
n = nano = 10 -9 nV on the - nW - nHn nF
n = picot = 10 -12 pv nA - pW - pgn pf
f = femto = 10 -15 - - - fw - - ff
a = atto = 10 -18 - - - aut - - -
  • 1 General
  • 2 History
  • 3 SI units
    • 3.1 Basic units
    • 3.2 Derived units
  • 4 Non-SI units
  • Prefixes

General information

The SI system was adopted by the XI General Conference on Weights and Measures; some subsequent conferences made a number of changes to the SI.

The SI system defines seven major and derivatives units of measure as well as a set. Standard abbreviations for units of measure and rules for writing derived units have been established.

In Russia, GOST 8.417-2002 is in force, which prescribes the mandatory use of SI. It lists the units of measurement, lists their Russian and international names and establishes the rules for their use. According to these rules, only international symbols may be used in international documents and on instrument scales. In internal documents and publications, you can use either international or Russian designations (but not both at the same time).

Basic units: kilogram, meter, second, ampere, kelvin, mole and candela. Within the SI, these units are considered to have independent dimensions, that is, none of the basic units can be obtained from others.

Derived units are derived from basic ones using algebraic operations such as multiplication and division. Some of the derived units in the SI system have their own names.

Prefixes can be used before the names of units of measurement; they mean that the unit of measurement must be multiplied or divided by a certain integer, a power of 10. For example, the prefix "kilo" means multiplication by 1000 (kilometer = 1000 meters). SI prefixes are also called decimal prefixes.

History

The SI system is based on the metric system of measures, which was created by French scientists and was first widely implemented after the Great French Revolution. Before the introduction of the metric system, units of measurement were chosen randomly and independently of each other. Therefore, the conversion from one unit of measurement to another was difficult. In addition, different units of measurement were used in different places, sometimes with the same names. The metric system was supposed to become a convenient and unified system of measures and weights.

In 1799, two standards were approved - for the unit of measurement of length (meter) and for the unit of measurement of weight (kilogram).

In 1874, the CGS system was introduced, based on three units of measurement - centimeter, gram and second. Decimal prefixes from micro to mega were also introduced.

In 1889, the 1st General Conference on Weights and Measures adopted a system of measures similar to the GHS, but based on the meter, kilogram and second, since these units were recognized as more convenient for practical use.

Subsequently, basic units were introduced for measuring physical quantities in the field of electricity and optics.

In 1960, the XI General Conference on Weights and Measures adopted a standard that was first called the "International System of Units (SI)".

In 1971, the IV General Conference on Weights and Measures amended the SI, adding, in particular, a unit for measuring the amount of a substance (mol).

Currently, the SI is accepted as a legal system of units of measurement by most countries in the world and is almost always used in the field of science (even in those countries that have not adopted the SI).

SI units

After the designations of units of the SI System and their derivatives, a dot is not put, in contrast to the usual abbreviations.

Basic units

The quantity unit of measurement Designation
Russian name international name russian international
Length meter meter (meter) m m
Weight kilogram kilogram Kg kg
Time second second with s
Electric current strength ampere ampere BUT A
Thermodynamic temperature kelvin kelvin TO K
The power of light candela candela cd cd
Amount of substance mole mole mole mol

Derived units

Derived units can be expressed in terms of basic ones using mathematical operations of multiplication and division. For convenience, some of the derived units have their own names; such units can also be used in mathematical expressions to form other derived units.

The mathematical expression for the derived unit of measurement follows from the physical law by which this unit of measurement is determined or the definition of the physical quantity for which it is entered. For example, speed is the distance that a body travels per unit of time. Accordingly, the unit of measure for speed is m / s (meter per second).

Often, the same unit of measurement can be written in different ways, using a different set of basic and derived units (see, for example, the last column in the table ). However, in practice, established (or simply generally accepted) expressions are used that the best way reflect the physical meaning of the measured value. For example, N × m should be used to record the moment of force, and m × N or J should not be used.

Derived units with their own names
The quantity unit of measurement Designation Expression
Russian name international name russian international
Flat angle radian radian glad rad m × m -1 = 1
Solid angle steradian steradian Wed sr m 2 × m -2 = 1
Celsius temperature degree Celsius ° C degree Celsius ° C K
Frequency hertz hertz Hz Hz s -1
Power newton newton H N kg × m / s 2
Energy joule joule J J N × m = kg × m 2 / s 2
Power watt watt W W J / s = kg × m 2 / s 3
Pressure pascal pascal Pa Pa N / m 2 = kg? M -1? S 2
Light flow lumen lumen lm lm cd × sr
Illumination luxury lux OK lx lm / m 2 = cd × sr × m -2
Electric charge pendant coulomb CL C A × s
Potential difference volt volt IN V J / C = kg × m 2 × s -3 × A -1
Resistance ohm ohm Ohm Ω B / A = kg × m 2 × s -3 × A -2
Capacity farad farad F F Cl / V = ​​kg -1 × m -2 × s 4 × А 2
Magnetic flux weber weber Wb Wb kg × m 2 × s -2 × A -1
Magnetic induction tesla tesla T T Wb / m 2 = kg × s -2 × A -1
Inductance Henry henry Mr. H kg × m 2 × s -2 × A -2
Electrical conductivity Siemens siemens Cm S Ohm -1 = kg -1 × m -2 × s 3 A 2
Radioactivity becquerel becquerel Bq Bq s -1
Absorbed dose of ionizing radiation Gray gray Gr Gy J / kg = m 2 / s 2
Effective dose of ionizing radiation sievert sievert Sv Sv J / kg = m 2 / s 2
Catalyst activity rolled katal cat kat mol × s -1

Non-SI units

Some units of measurement that are not included in the SI system, according to the decision of the General Conference on Weights and Measures, are "allowed for use in conjunction with SI".

unit of measurement International name Designation Quantity in SI units
russian international
minute minute min min 60 s
hour hour h h 60 min = 3600 s
day day days d 24 h = 86 400 s
degree degree ° ° (N / 180) glad
angular minute minute (1/60) ° = (P / 10 800)
angular second second (1/60) ′ = (P / 648 000)
liter liter (liter) l l, L 1 dm 3
ton tonne T t 1000 kg
neper neper Np Np
white bel B B
electron-volt electronvolt eV eV 10 -19 J
atomic mass unit unified atomic mass unit but. eat. u = 1,49597870691 -27 kg
astronomical unit astronomical unit but. e. ua 10 11 m
nautical mile nautical mile mile 1852 m (exact)
knot knot knots 1 nautical mile per hour = (1852/3600) m / s
ar are but a 10 2 m 2
hectare hectare ha ha 10 4 m 2
bar bar bar bar 10 5 Pa
angstrom ångström Å Å 10 -10 m
barn barn b b 10 -28 m 2
  • Responsible for the support of the classifier: Rostekhregulirovanie
  • Reason: Resolution of the Gosstandart of Russia dated December 26, 1994 No. 366 01.01.1996
  • Approved: 07.06.2000
  • Entered into force: 07.06.2000
Code Unit name Symbol Symbolic designation
national international national international
International units of measurement included in the ESKK
Units of length
47 Nautical mile (1852 m)milen mileMILESNMI
8 Kilometer; thousand meterskm; 10 ^ 3 mkmKM; THOUSAND MKMT
5 DecimeterdmdmDMDMT
4 CentimetercmcmCMCMT
39 Inch (25.4 mm)inchinINCHINH
6 MetermmMMTR
41 Ft (0.3048 m)footftFOOTFOT
3 MillimetermmmmMMMMT
9 Megameter; million metersMm; 10 ^ 6 mMmMEGAM; MLN MMAM
43 Yard (0.9144 m)yardydYARDYRD
Area units
59 HectarehahaGAHAR
73 Square feet (0.092903 m2)ft2ft2FT2FTK
53 Square decimeterdm2dm2DM2DMK
61 Square kilometerkm2km2KM2KMK
51 Square centimetercm2cm2CM2CMK
109 Ar (100 m2)butaARARE
55 Square meterm2m2M2MTK
58 Thousand square meters10 ^ 3 m ^ 2daaTHOUSAND M2DAA
75 Square yard (0.8361274 m2)yard2yd2YARD2YDK
50 Square millimetermm2mm2MM2MMK
71 Square inch (645.16 mm2)in2in2INCH2INK
Volume units
126 MegalithMlMlMEGALMAL
132 Cubic foot (0.02831685 m3)ft3ft3FT3FTQ
118 DeciliterdldlDLDLT
133 Cubic yard (0.764555 m3)yard3yd3YARD3YDQ
112 Liter; cubic decimeterl; dm3I; L; dm ^ 3L; DM3LTR; DMQ
113 Cubic meterm3m3M3MTQ
131 Cubic inch (16387.1 mm3)inch3in3INCH3INQ
159 Million cubic meters10 ^ 6 m310 ^ 6 m3Mln m3HMQ
110 Cubic millimetermm3mm3MM3MMQ
122 HlchhlGLHLT
111 Cubic centimeter; millilitercm3; mlcm3; mlCM3; MLCMQ; MLT
Mass units
170 Kiloton10 ^ 3 tktCT scanKTN
161 MilligrammgmgMGMGM
173 SantigramcrcgSGCGM
206 Centner (metric) (100 kg); hectokilogram; quintal1 (metric); decitonecq; 10 ^ 2 kgCDTN
163 GramGgGGRM
181 Gross register ton (2.8316 m3)BRT- BRUTT. REGISTER TGRT
160 HectogramyyhgYyHGM
168 Ton; metric ton (1000 kg)TtTTNE
162 Metric caratcarMCCARCTM
185 Lifting capacity in metric tonst grp- T LOADERCCT
166 KilogramKgkgKGKGM
Engineering units
331 Rpmrpmr / minRPMRPM
300 Physical atmosphere (101325 Pa)atmatmATMATM
306 Gram of fissile isotopesd D / Ig fissile isotopesD DIVIDING THE ISOTOPEGFI
304 MillicurymCimCiMKIMCU
243 Watt hourWhW.hVT.CHWHR
309 BarbarbarBARBAR
301 Technical atmosphere (98066.5 Pa)atatATTATT
270 PendantCLCKLCOU
288 KelvinKKTOKEL
280 Degree Celsiushail. Chail. CGRAD CELSCEL
282 CandelacdcdCDCDL
330 Revolution per secondrev / sr / sOB / SRPS
297 KilopascalkPakPaKPAKPA
302 GigabecquerelGBqGBqGIGABKGBQ
291 KHzkHzkHzKHCKHZ
230 KilovarkvarkVARKVARKVR
281 Degree Fahrenheithail. Fhail. FGRAD FARENGFAN
292 MegahertzMHzMHzMEGAGZMHZ
227 Kilovolt-amperekV.AkV.AKV.AKVA
323 BecquerelBqBqBCBQL
298 MegapascalMPaMPaMEGAPAMPA
263 Ampere-hour (3.6 kC)A.hA.hA.ChAMH
247 Gigawatt hour (million kilowatt hours)GWhGW.hGIGAVT.CHGwh
245 Kilowatt hourkWhkW.hKWhKWH
212 WattWWVTWTT
273 KilojoulekjkJKJKJO
305 CurieKeyCiKICUR
228 Megavolt-ampere (thousand kilovolt-amperes)MVAMV.AMEGAVAMVA
314 FaradFFFFAR
284 LumenlmlmLMLUM
215 Megawatt; thousand kilowattsMW; 10 ^ 3 kWMWMEGAVT; THOUSAND KWMAW
274 OhmOhm OMOHM
271 JouleJJJJJOU
333 Kilometer per hourkm / hkm / hKM / HKMH
349 Pendant per kilogramCl / kgC / kgKL / KGCKG
264 Thousand ampere hours10 ^ 3 A.h10 ^ 3 A.hTHOUSAND A.HTAH
222 VoltINVINVLT
223 KilovoltkVkVKvKVT
335 Meter per second squaredm / s2m / s2M / C2MSK
290 HertzHzHzHZHTZ
260 AmpereBUTABUTAMP
246 Megawatt hour; 1000 kilowatt hoursMWh; 10 ^ 3 kWhМW.hMEGAVT.CH; THOUSAND KW.HMWH
324 WeberWbWbWBWEB
312 KilobarkbkbarCBARKBA
294 PascalPaPaPAPAL
283 SuiteOKlxOKLUX
310 HectobarGBhbarGBARHBA
308 MillibarmbmbarMBARMBR
327 Knot (mph)knotsknUZKNT
296 SiemensCmSSISIE
316 Kilogram Per Cubic Meterkg / m3kg / m3KG / M3KMQ
328 Meter per secondm / sm / sM / SMTS
214 KilowattkWhkWKwtKWT
289 NewtonHNHNEW
Time units
368 Decadedeslet- DesletDEC
361 DecadeDec- DECDAD
364 Quarterquart- QUARTQAN
365 Half a yearhalf a year- Half a yearSAN
362 Monthmonth- MONTHMON
359 Daydays; daydSUT; DNDAY
355 MinuteminminMINMIN
356 HourhhHHUR
360 A weekweek- NEDWEE
354 SecondwithsWITHSEC
366 YearG; years oldaYEAR; YEARS OLDANN
Economic units
745 ElementaleCIELEMNCL
781 One hundred packs100 pack- 100 UPAKCNP
732 Ten pairs10 pairs- DES PARTPR
599 Thousand cubic meters per day10 ^ 3 m3 / day- THOUSAND M3 / DAYTQD
730 Two dozen20 20 2 DESSCO
733 A dozen pairsdozen pairs- DOZEN COUPLESDPR
799 Million pieces10 ^ 6 pcs10^6 Mln pcsMIO
796 ThingPCpc; onePCPCE; NMB
778 Packagepack- UPAKNMP
831 Liter of pure (100%) alcoholl 100% alcohol- L CLEAN ALCOHOLLPA
657 Producted- ISDNAR
865 Kilogram of phosphorus pentoxidekg P2O5- KG PHOSPHORUS PENTOXIDEKPP
641 Dozen (12 pcs.)dozenDoz; 12DOZENDZN
841 Kilogram of hydrogen peroxidekg H2O2- KG HYDROGEN PEROXIDE-
734 Packagethe message- SENDNPL
704 Kitkit- KITSET
847 Ton of 90% dry mattert 90% s / w- T 90 PERCENT DRY VESCHTSD
499 Kilogram per secondkg / s- KG / SKGS
801 Billion pieces (Europe); trillion pieces10 ^ 12 pcs10^12 BILL SHT (EUR); TRILL PIECEBIL
683 One hundred boxes100 boxesHbx100 BOXESHBX
740 A dozen piecesdozen pieces- DOZEN PIECESDPC
802 Quintillion pieces (Europe)10 ^ 18 pcs10^18 QUINT PIECETRL
821 Alcohol strength by volumecrepe. alcohol by volume% volCREP ALCOHOL BY VOLUMEASV
533 Ton of steam per hourt steam / h- T PAR / HTSH
859 Kilogram of potassium hydroxidekg KOH- KG POTASSIUM HYDROXIDEKPH
852 Kilogram of potassium oxidekg K2O- KG POTASSIUM OXIDEKPO
625 Sheetl.- SHEETLEF
798 Thousand piecesthousand pcs; 1000 pcs1000 THOUSAND PIECESMIL
630 One thousand standard conditional bricksthsd std. conv. kirp- THOUSAND STANDS OF CONSMBE
797 One hundred pieces100 pieces100 100 PIECESCEN
626 One hundred sheets100 l.- 100 SHEETCLF
736 Rollrudder- RULNPL
780 A dozen packagesdozen pack- DOZEN UPAKDZP
800 Billion pieces10 ^ 9 pcs10^9 BILLION PIECESMLD
863 Kilogram of sodium hydroxidekg NaOH- KG SODIUM HYDROXIDEKSH
833 Hectoliter of pure (100%) alcoholGL 100% alcohol- GL CLEAN ALCOHOLHPA
715 Pair (2 pcs.)steampr; 2STEAMNPR
861 Kilogram of nitrogenkg N- KG NITROGENKNI
598 Cubic meter per hourm3 / hm3 / hM3 / HMQH
845 Kilogram of 90% dry matterkg 90% w / w- KG 90 PERCENT DRY MATERIALKSD
867 Kilogram of uraniumkg U- KG URANKUR
735 Partpart- PARTNPT
820 Alcohol strength by weightcrepe. alcohol by weight% mdsCREP ALCOHOL BY MASSASM
737 A dozen rollsdozen rolls- DOZEN ROLLDRL
616 Spoolbean- BEANNBB
596 Cubic Meter Per Secondm3 / sm3 / sM3 / SMQS
National units of measurement included in the ESKK
Units of length
49 Kilometer of conditional pipeskm conv. pipes KM USL PIPE
20 Conditional meterconv. m USL M
48 Thousand conditional meters10 ^ 3 conv. m THOUSAND CONS M
18 Running meterrunning. m POG M
19 Thousand running meters10 ^ 3 lin. m THOUSAND POG M
Area units
57 Million square meters10 ^ 6 m2 MLN M2
81 Square meter of total aream2 total pl M2 TOTAL PL
64 Million conditional square meters10 ^ 6 conv. m2 MLN USL M2
83 Million square meters of total area10 ^ 6 m2 total pl MILLION M2. OBS PL
62 Conditional square meter conv. m2 USL M2
63 Thousand conditional square meters10 ^ 3 conv. m2 THOUSAND CONS M2
86 Million square meters of living space10 ^ 6 m2 lived. pl MLN M2 LIVED PL
82 Thousand square meters of total area10 ^ 3 m2 total pl THOUSAND M2 TOTAL PL
56 Million square decimeters10 ^ 6 dm2 MLN DM2
54 Thousand square decimeters10 ^ 3 dm2 THOUSAND DM2
89 Million square meters in two millimeters10 ^ 6 m2 2 mm calc MLN M2 2MM ISCH
60 Thousand hectares10 ^ 3 ha THOUSAND HA
88 Thousand square meters of educational and laboratory buildings10 ^ 3 m2 area lab. built THOUSAND M2 UCH. LAB ZDAN
87 Square meter of educational and laboratory buildingssq. m. lab. built M2 UCH.LAB ZDAN
85 Thousand square meters of living space10 ^ 3 m2 lived. pl THOUSAND M2 LIVED PL
84 Square meter of living spacem2 lived. pl M2 LIVED PL
Volume units
121 Dense cubic meterdense m3 DENSITY M3
124 Thousand conditional cubic meters10 ^ 3 conv. m3 THOUSAND CONS M3
130 Thousand liters; 1000 liters10 ^ 3 L; 1000 l YOU SL
120 Million decaliters10 ^ 6 dL MILLION DCL
129 Million half liter10 ^ 6 floor l MILLION FLOOR L
128 Thousand half liters10 ^ 3 floor l THOUSAND FLOOR L
123 Conditional cubic meterconv. m3 USL M3
127 Thousand dense cubic meters10 ^ 3 dense m3 THOUSAND DENSES M3
116 Decaliterdcl DCL
114 Thousand cubic meters10 ^ 3 m3 THOUSAND M3
115 Billion cubic meters10 ^ 9 m3 BILLION M3
119 Thousand decaliters10 ^ 3 dl THOUSAND DKL
125 Million cubic meters of gas processing10 ^ 6 m3 rev. gas MLN M3 GAS PROCESSING
Mass units
167 Million carats metric10 ^ 6 ct MILLION CAR
178 Thousand tons of processing10 ^ 3 t rework THOUSAND TREATMENT
176 Million tons of fuel equivalent10 ^ 6 t conv. fuel MLN T CONS FUEL
179 Conditional tonconv. T USL T
207 Thousand centners10 ^ 3 q THOUSAND C
171 Million tons10 ^ 6 t MLN T
177 Thousand tons of one-time storage10 ^ 3 t lump sum store THOUSAND T UNINOVR STORAGE
169 Thousand tons10 ^ 3 t THOUSAND T
165 Thousand carats metric10 ^ 3 ct THOUSAND CAR
175 Thousand tons of fuel equivalent10 ^ 3 t conv. fuel THOUSAND T CONS FUEL
172 Ton of fuel equivalentt conv. fuel T CONS FUEL
Engineering units
226 Volt-ampereV.A V.A
339 Centimeter of water columncm water. st CM VOD ST
236 Calorie per hourcal / h KAL / H
255 Bytebuy BYTE
287 HenryMr. GB
250 Thousand kilovolt-ampere reactive10 ^ 3 kV.A R THOUSAND SQ.A R
235 Million gigacalories10 ^ 6 Gcal MILLION GIGAKAL
313 TeslaT TL
256 Kilobytekbyte KB
234 Thousand gigacalories10 ^ 3 Gcal THOUSAND GIGAKALS
237 Kilocalorie per hourkcal / h Kcal / h
239 Thousand gigacalories per hour10 ^ 3 Gcal / h THOUSAND GIGAKAL / H
317 Kilogram per square centimeterkg / cm ^ 2 KG / CM2
252 Thousand horsepower10 ^ 3 l. with THOUSAND HP
238 Gigacalorie per hourGcal / h GIGAKAL / H
338 Millimeter of mercurymmHg st MMHG
337 Millimeter of water columnmm water st MM WOD ST
251 Horsepowerl. with LS
258 Baudbaud BAUD
242 Million kilovolt-ampere10 ^ 6 kV.A MLN SQ.A
232 Kilocaloriekcal Kcal
257 MegabyteMB MB
249 Billion kilowatt hours10 ^ 9 kWh BLN KWH
241 Million ampere hours10 ^ 6 A.h MLN A.H
233 GigacalorieGcal GIGAKAL
253 Million horsepower10 ^ 6 l. with MLN LS
231 Meter per hourm / h M / h
254 Bitbit BIT
248 Kilovolt-ampere reactivekV.A R KV.A R
Time units
352 Microsecondμs ISS
353 Millisecondmls MLS
Economic units
534 Ton per hourt / h T / H
513 Autotoneauto t AUTO T
876 Conventional unitconv. units USL UNIT
918 Author's sheetl. auth LIST AUT
873 Thousand vials10 ^ 3 vial THOUSAND FLAC
903 Thousand student places10 ^ 3 scientists. places THOUSAND LEARNED PLACES
870 Ampouleampoules AMPUL
421 Passenger seat (passenger seats)pass. places PASS PLACES
540 Man-dayperson days PERSONNEL DAYS
427 Passenger trafficpass flow PASS FLOW
896 Familyfamilies FAMILIES
751 Thousand rolls10 ^ 3 roll THOUSAND RULES
951 Thousand car (car) hours10 ^ 3 wagons (mash) .h THOUSAND WAGS (MASH) .H
963 Reduced hourlead.h DRIVE.H
978 Channel-endschannel. end CHANNEL. The end
975 Sugo-daysugo. days SUGO. SUT
967 Million ton-miles10 ^ 6 t. Miles MLN T. MILES
792 Manpeople PEOPLE
547 Couple per shiftpairs / shift PAIR / CHANGE
839 Setset COMPL
881 Conditional bankconv. bank USL BANK
562 A thousand spinning spindles10 ^ 3 strand spinner THOUSANDS OF LINE BELIEVES
909 Apartmentquart QUART
644 Million units10 ^ 6 units MILLION UNITS
922 Signsign SIGN
877 One thousand conventional units10 ^ 3 conv. units THOUSAND CONDITIONING UNIT
960 Thousand car-ton-days10 ^ 3 car tpd THOUSAND VEHICLES.T.DN
954 Wagon-daywag. days VAG.SUT
761 Thousand staves10 ^ 3 stan THOUSAND STAN
511 Kilogram Per Gigacaloriekg / Gcal KG / GIGAKAL
912 Thousand beds10 ^ 3 beds THOUSAND BEDS
980 One thousand dollars10 ^ 3 dollar THOUSAND DOLLAR
387 Trillion rubles10 ^ 12 rub TRILL RUB
908 Numbernom NOM
968 Million passenger miles10 ^ 6 pass. miles MILLION PASS. MILES
962 Thousand car-place-days10 ^ 3 car places day THOUSAND CARS. DN
916 Conditional repair per yearconv. rem / year CONS REM / YEAR
895 Million conditional bricks10 ^ 6 conv. kirp MILLION USL KIRP
414 Passenger-kilometerpass km PASS.KM
888 Thousand conditional boxes10 ^ 3 conv. box THOUSAND USL BOXES
699 Thousand places10 ^ 3 seats THOUSAND PLACES
522 Person per square kilometerpeople / km2 PERSON / KM2
869 A thousand bottles10 ^ 3 booth THOUSAND BUT
958 Thousand Passenger Miles10 ^ 3 passenger miles THOUSAND PASS.MILES
510 Gram per kilowatt hourg / kWh H / kW.H
983 Sudo-daycourt day COURT.
535 Ton per dayt / day T / SUT
424 Million passenger-kilometers10 ^ 6 pass. km MILLION PASS.KM
907 Thousand seats10 ^ 3 pos. places THOUSAND PLACES
965 Thousand kilometers10 ^ 3 km THOUSAND KM
538 Thousand tons per year10 ^ 3 t / year THOUSAND T / YEAR
546 Thousand visits per shift10 ^ 3 visits / shifts THOUSAND VISITS / SHIFTS
775 Thousand tubes10 ^ 3 tube THOUSAND TUBES
961 Thousand car hours10 ^ 3 car h THOUSAND CAR.H
537 Thousand tons per season10 ^ 3 t / s THOUSAND T / SEZ
449 Tonne-kilometert.km T.KM
556 Thousand heads a year10 ^ 3 birds / year THOUSAND GOALS / YEAR
383 Rublerub RUB
970 Million passenger-seat-miles10 ^ 6 pass. places. miles MILLION PASS. PLACES. MILES
921 Accounting and publishing sheetl. uch.-ed ACCOUNT LIST
894 Thousand conditional bricks10 ^ 3 conv. kirp THOUSAND USL KIRP
514 Ton of thrusttons of thrust T RODS
388 Quadrillion rubles10 ^ 15 rubles QUADR RUB
541 Thousand man-days10 ^ 3 person days THOUSAND PEOPLE DAYS
971 Forage dayfeed. day FEED. DN
953 Thousand place-kilometers10 ^ 3seats.km THOUSAND PLACES KM
871 Thousand ampoules10 ^ 3 ampoules THOUSAND AMPOULES
385 One million rubles10 ^ 6 rub MLN RUB
966 Thousand tonnage flights10 ^ 3 tonnage. flight THOUSAND TONNAGE. FLIGHT
911 Bunkbeds BEDS
892 Thousand conditional tiles10 ^ 3 conv. slabs THOUSAND COND PLATES
868 Bottlebooth BUT
793 A thousand people10 ^ 3 people THOUSAND PEOPLE
544 Million units per year10 ^ 6 units / year MILLION UNITS / YEAR
949 Million impression sheets10 ^ 6 sheet. Print MILLION SHEETS
886 Million conditional pieces10 ^ 6 conv. cous MLN USL KUS
698 A placeplaces PLACES
536 Ton per shiftt / shift T / CHANGE
548 Thousand pairs per shift10 ^ 3 pairs / shift THOUSAND COUPLES / SHIFTS
812 Boxbox BOX
915 Conditional repairconv. rem CON REM
956 Thousand train kilometers10 ^ 3 train km THOUSAND TRAIN.KM
553 Thousand tons of processing per day10 ^ 3 t rework / day THOUSAND T OVERRIDE / DAY
450 Thousand ton-kilometers10 ^ 3 t.km THOUSAND T.KM
950 Wagon (car) -daywag (mash) .dn VAG (MASH) .DN
552 Ton of processing per daytons refined / day T OVERCOME / DAY
423 Thousand passenger-kilometers10 ^ 3 passenger km THOUSAND PASS.KM
924 Symbolsymbol SYMBOL
782 Thousand packages10 ^ 3 pack THOUSAND UPAK
838 Million pairs10 ^ 6 pairs MILLION PAR
905 Thousand jobs10 ^ 3 work. places THOUSAND SLAVES PLACES
744 Percent% PROC
887 Conditional boxconv. box USL BOX
639 Dosedoses DOZ
891 Conditional tileconv. slabs COND PLATE
545 Shift visitvisit / shift VISIT / CHANGE
543 Thousand conditional cans per shift10 ^ 3 conv. bank / shift THOUSAND USL BANK / CHANGE
893 Conditional brickconv. kirp USL KIRP
957 Thousand ton-miles10 ^ 3 t miles THOUSAND THOUSAND MILES
977 Channel-kilometerchannel. km CHANNEL. KM
901 Million households10 ^ 6 house farm MILLION HOUSEHOLD
976 Pieces in 20-foot equivalent (TEU)pieces in 20-foot equivalent PCS IN 20 FEET EQUIV
762 Stationstanz STANZ
897 Thousand families10 ^ 3 families THOUSAND FAMILIES
880 Thousand conditional pieces10 ^ 3 conv. PC THOUSAND USL PIECES
923 Wordword WORD
955 Thousand Train Hours10 ^ 3 train.h THOUSAND TRAINS.H
539 Man-hourperson h PERSONS
661 Channelchannel CHANNEL
874 Thousand Tubes10 ^ 3 tubes THOUSAND TUBES
558 Thousand bird places10 ^ 3 poultry places THOUSAND POULTRY
913 Book fund volumebook volume fund TOM BOOK FUND
673 Thousand sets10 ^ 3 sets THOUSAND COMPL
640 Thousand doses10 ^ 3 doses THOUSAND DOSES
643 Thousand units10 ^ 3 units THOUSAND UNITS
878 Million conventional units10 ^ 6 conv. units MLN USL UNIT
914 Thousand volumes of the book fund10 ^ 3 vol. book. fund THOUSAND VOLUME BOOKS FUND
883 Million conditional cans10 ^ 6 conv. bank MLN USL BANK
384 Thousand rubles10 ^ 3 rub THOUSAND ROUBLES
925 Conditional pipeconv. pipes USL PIPE
889 Conditional coilconv. cat USL CAT
900 Thousand households10 ^ 3 house farm THOUSAND HOUSEHOLD
898 Million families10 ^ 6 families MILLION FAMILIES
964 Airplane-kilometerplane km AIRCRAFT.KM
979 Thousand copies10 ^ 3 copies THOUSAND EKZ
746 PPM (0.1 percent)ppm PROMILLE
890 Thousand conditional coils10 ^ 3 conv. cat THOUSAND USL CAT
724 Thousand hectares of portions10 ^ 3 ha port THOUSAND HA PORTS
542 Thousand man-hours10 ^ 3 person h THOUSAND PEOPLE
642 Unitunits Unit
560 Minimal salarymin. earnings circuit boards MIN Wages
557 Million goals per year10 ^ 6 birds / year MILLION GOAL / YEAR
917 Changeshifts CHANGE
902 Student placelearned. places LEARNED PLACES
521 Person per square meterperson / m2 PERSON / M2
479 Thousand sets10 ^ 3 set THOUSAND SET
899 The householdhouse farm HOUSE
906 Seatposad. places LANDING PLACES
515 Deadweight tondeadweight t DEADWATE.T
982 Million tons of feed units10 ^ 6 food units MLN T FEED UNIT
959 Car-daycar day AUTOMOBILE.DN
972 Centner of feed unitsc feed unit TS FEED UNIT
882 Thousand conditional cans10 ^ 3 conv. bank THOUSAND USL BANK
969 Million tonnage miles10 ^ 6 tonnage. miles MILLION TONNAGE MILES
837 Thousand pairs10 ^ 3 pairs THOUSAND COUPLES
810 Cellball YCH
516 Tonne-tannidttanid T. TANID
794 Million people10 ^ 6 people MILLION PEOPLE
451 Million tonne-kilometers10 ^ 6 t. Km MLN T.KM
836 HeadGoal GOAL
872 Bottlebottle FLAC
808 Million copies10 ^ 6 copies MLN EKZ
561 Thousand tons of steam per hour10 ^ 3 t steam / h THOUSAND PAR / H
973 Thousand car-kilometers10 ^ 3 vehicles km THOUSAND CARS. KM
981 Thousand tons of feed units10 ^ 3 food units THOUSAND FOOD UNIT
386 Billion rubles10 ^ 9 rub BLN RUB
554 Centner of processing per dayc revision / day C OVERVIEW / DAY
885 Thousand conditional pieces10 ^ 3 conv. cous THOUSAND USL KUS
937 Million doses10 ^ 6 doses MILLION DOSES
920 Printed sheetl. oven OVEN SHEET
779 Million packs10 ^ 6 pack MLN UPAK
709 Thousand numbers10 ^ 3 number THOUSAND NOM
512 Tonne numberso-called T.NOM
952 Thousand wagon (car) kilometers10 ^ 3 wagons (cars) .km THOUSAND WAG (MASH) .KM
879 Conditional thingconv. PC USL PCS
904 Workplaceslave. places SLAVE PLACES
559 Thousand laying hens10 ^ 3 chickens. layer THOUSAND CHICKENS. NESUSH
840 Sectionsec SECC
974 Thousand tonnage-days10 ^ 3 tonnage. days THOUSAND TONNAGE. SUT
729 Thousand packs10 ^ 3 packs THOUSAND PACH
910 Thousand apartments10 ^ 3 quarts THOUSAND QUARTS
550 Million tons per year10 ^ 6 t / year MLN T / YEAR
875 Thousand boxes10 ^ 3 cor THOUSAND CORS
563 Thousand Spinning Positions10 ^ 3 strand places THOUSAND SPACES
776 Thousand conditional tubes10 ^ 3 conventional tubes THOUSAND COND TUBES
884 Conditional piececonv. cous USL KUS
930 Thousand Plates10 ^ 3 layer THOUSAND FORMATIONS
555 One thousand centners of processing per day10 ^ 3 c rev / day THOUSAND OVERRIDE / DAY
International units of measurement not included in the ESKK
Units of length
17 Hectometer hm HMT
45 Mile (charter) (1609.344 m) mile SMI
Area units
79 Square mile mile2 MIK
77 Acre (4,840 square yards) acre ACR
Volume units
137 Pint SC (0.568262 dm3) pt (UK) PTI
141 US fluid ounce (29.5735 cc) fl oz (US) OZA
149 Dry US gallon (4.404884 dm3) dry gal (US) GLD
153 Cord (3.63 m3) - WCD
152 Standard - WSD
145 Liquid US gallon (3.78541 dm3) gal (US) GLL
154 Thousands board feet (2.36 m3) - MBF
143 US liquid pint (0.473176 dm3) liq pt (US) PTL
150 US bushel (35.2391 dm3) bu (US) BUA
136 Jill SC (0.142065 dm3) gill (UK) GII
144 US liquid quart (0.946353 dm3) liq qt (US) QTL
138 Quart SC (1.136523 dm3) qt (UK) QTI
135 Fluid ounce SC (28.413 cm3) fl oz (UK) OZI
139 Gallon SK (4.546092 dm3) gal (UK) GLI
148 Dry US quart (1.101221 dm3) dry qt (US) QTD
140 Bushel SC (36.36874 dm3) bu (UK) BUI
151 US dry barrel (115.627 dm3) bbl (US) BLD
142 Jill USA (11.8294 cm3) gill (US) GIA
147 US dry pint (0.55061 dm3) dry pt (US) PTD
146 Barrel (petroleum) USA (158.987 dm3) barrel (US) BLL
Mass units
184 Displacement - DPT
193 US centner (45.3592 kg) cwt CWA
190 Stone SC (6,350293 kg) st STI
189 Grand SC, USA (64.798910 mg) gn GRN
200 US drachma (3.887935 g) - DRA
194 Long centner SK (50.802345 kg) cwt (UK) CWI
191 Quarter SK (12.700586 kg) qtr QTR
186 US Pound UK (0.45359237 kg) lb LBR
187 Ounce UK (28.349523 g) oz ONZ
197 Scrupole SK, USA (1.295982 g) scr SCR
182 Net register ton - NTT
202 Troy US pound (373.242 g) - LBT
201 Ounce UK (31.10348 g) troy ounce apoz APZ
196 Long tonne UK, USA (1.0160469 t) lt LTN
188 Drachma SC (1.771745 g) dr DRI
183 Measured (freight) ton - SHT
198 Pennyweight UK, USA (1.555174 g) dwt DWT
192 Cental SK (45.359237 kg) - CNT
195 Short tonne UK, USA (0.90718474 t) sht STN
199 Drachma SC (3.887935 g) drm DRM
Engineering units
275 British thermal unit (1.055 kJ) Btu BTU
213 Effective power (245.7 watts) B.h.p. BHP
Economic units
638 Gross (144 pcs.) gr; 144 GRO
853 One hundred international units - HIU
835 Gallon of alcohol of specified strength - PGL
851 International unit - NIU
731 Large gross (12 gross) 1728 GGR
738 Short standard (7200 units) - SST

What is OCEI

OKEI is the abbreviated name of the All-Russian Classifier of Measurement Units. The classifier is a part Unified system coding and classification of social and technical and economic information in Russia. The All-Russian classifier of units of measurement was introduced on the territory of Russia instead of the All-Union classifier, known as the "System of designations of units and measurements used in ACS". A classifier has been developed on the basis of the international classification of units of measurement of the UN Economic Commission for Europe, the Commodity Nomenclature of Foreign Economic Activity and other significant documents. The All-Russian classifier of units of measurement is associated with GOST 8.417-81 "State system for ensuring the uniformity of measurements. Units of physical quantities".

Why was OKEI created?

The classifier is intended for use in solving problems of quantitative assessment of social and technical and economic indicators for the implementation of state reporting and accounting, forecasting and development of the economy, carrying out foreign and domestic trade, providing statistical international comparisons, organizing customs control, regulating foreign economic activity. In OKEI, classification objects are units of measurement that are used in these areas of activity.

What is the structure of the code in OKEI

In OKEI, units of measurement are divided into 7 groups: units of length, area, volume, mass, engineering units and time units, as well as economic units. For a number of measurement units, sub-multiples and multiples have been introduced. The All-Russian Classifier of Units of Measurement contains two reference appendices and two sections.

Each position in OKEI structurally consists of three blocks: identification, name and block, where additional features are indicated.

The unit identification code is a digital three-digit decimal code, which was assigned according to the serial-ordinal coding system. In Appendix A and the first section, codes are used that completely coincide with the codes of the international classification. Also in the second section, decimal numeric three-digit codes were used, taken from the reserve of international classification codes.

In OKEI, the formula for the structure of the identification code is as follows: XXX. The name block is the name of the unit of measurement adopted in state reporting and accounting (for the second section), or the name of the unit of measurement according to the international classification (for Appendix A and the first section). The block of additional characteristics is conditional data, letter code designations of units of measurement (national and international).

In order to facilitate the use of the classifier, an alphabetical index of units of measurement is given in Appendix B. In the second column, the number of the application or section in which the unit of measurement is located is indicated. The third column is the unit identification code.

The All-Russian Classifier of Measurement Units is maintained by VNIIKI of the Gosstandart of the Russian Federation together with the Computing Center of the Goskomstat of the Russian Federation, the Center for Economic Conditions under the Government of Russia.

Physical quantity is called the physical property of a material object, process, physical phenomenon, characterized quantitatively.

Physical quantity value expressed by one or more numbers characterizing this physical quantity, indicating the unit of measurement.

The size of the physical quantity are the values ​​of the numbers appearing in the value of the physical quantity.

Units of measurement of physical quantities.

The unit of measurement of a physical quantity is a fixed size value that is assigned a numeric value equal to one. It is used to quantify physical quantities that are homogeneous with it. A system of units of physical quantities is a set of basic and derived units based on a certain system of quantities.

Only a few systems of units have become widespread. In most cases, many countries use the metric system.

Basic units.

Measure a physical quantity - means to compare it with another, the same physical quantity, taken as a unit.

The length of an object is compared with a unit of length, body weight is compared with a unit of weight, etc. But if one researcher measures the length in fathoms and the other in feet, it will be difficult for them to compare the two quantities. Therefore, all physical quantities all over the world are usually measured in the same units. In 1963, the International System of Units SI (System international - SI) was adopted.

For each physical quantity in the system of units, a corresponding unit of measurement must be provided. The standard units is its physical realization.

The standard of length is meter- the distance between two strokes applied to a specially shaped rod made of an alloy of platinum and iridium.

The standard time serves as the duration of any correctly repeating process, which is chosen as the movement of the Earth around the Sun: one revolution of the Earth makes a year. But not a year is taken as a unit of time, but give me a sec.

For a unit speed take the speed of such a uniform rectilinear movement in which the body moves 1 m in 1 s.

A separate unit of measurement is used for area, volume, length, etc. Each unit is determined when choosing one or another standard. But the system of units is much more convenient if only a few units are selected as the main ones, and the rest are determined through the main ones. For example, if the unit of length is meter, then the unit of area will be square meter, volume - cubic meter, speed - meter per second, etc.

Basic units The physical quantities in the International System of Units (SI) are: meter (m), kilogram (kg), second (s), ampere (A), kelvin (K), candela (cd) and mol (mol).

SI base units

The quantity

Unit

Designation

Name

russian

international

Electric current strength

Thermodynamic temperature

The power of light

Amount of substance

There are also derived SI units, which have their own names:

SI derived units with their own names

Unit

Derived Unit Expression

The quantity

Name

Designation

Through other SI units

Via basic and additional SI units

Pressure

m -1 ChkgChs -2

Energy, work, amount of heat

m 2 ChkgChs -2

Power, energy flow

m 2 ChkgChs -3

The amount of electricity, electric charge

Electrical voltage, electrical potential

m 2 ChkgChs -3 CHA -1

Electric capacity

m -2 Chkg -1 HR 4 HR 2

Electrical resistance

m 2 ChkgChs -3 CHA -2

Electrical conductivity

m -2 Chkg -1 Chs 3 ChA 2

Flux of magnetic induction

m 2 ChkgChs -2 CHA -1

Magnetic induction

kg Chs -2 CHA -1

Inductance

m 2 ChkgChs -2 CHA -2

Light flow

Illumination

m 2 ChkdChsr

Radioactive source activity

becquerel

Absorbed radiation dose

ANDmeasurements. Measurements are used to obtain an accurate, objective and easily reproducible description of a physical quantity. Without measurements, a physical quantity cannot be characterized quantitatively. Definitions such as "low" or "high" pressure, "low" or "high" temperature reflect only subjective opinions and do not contain comparison with reference values. When measuring a physical quantity, some numerical value is attributed to it.

Measurements are carried out using measuring instruments. There is quite a large number of measuring instruments and fixtures, from the simplest to the most complex. For example, length is measured with a ruler or tape measure, temperature - with a thermometer, width - with calipers.

Measuring devices are classified: according to the method of presenting information (showing or recording), according to the measurement method (direct action and comparison), according to the form of presentation of indications (analog and digital), etc.

The measuring instruments are characterized by the following parameters:

Measuring range- the range of values ​​of the measured value, on which the device is designed during its normal operation (with a given measurement accuracy).

Sensitivity threshold- the minimum (threshold) value of the measured value, distinguished by the device.

Sensitivity- connects the value of the measured parameter and the corresponding change in the instrument readings.

Accuracy- the ability of the device to indicate the true value of the measured value.

Stability- the ability of the device to maintain the specified measurement accuracy for a certain time after calibration.

This tutorial will not be new to beginners. We have all heard from school such things as centimeter, meter, kilometer. And when it came to mass, they usually said gram, kilogram, ton.

Centimeters, meters and kilometers; grams, kilograms and tons have one common name - units of measurement of physical quantities.

In this lesson, we will look at the most popular units of measurement, but we will not go deep into this topic, since units of measurement go into the field of physics. Today we are forced to study a part of physics, because we need it for further study of mathematics.

Lesson content

Length units

The following units of measure are used for measuring length:

  • millimeters;
  • centimeters;
  • decimeters;
  • meters;
  • kilometers.

millimeter(mm). You can even see millimeters with your own eyes if you take the ruler that we used at school every day.

Consecutive small lines running one after another are millimeters. More precisely, the distance between these lines is equal to one millimeter (1 mm):

centimeter(cm). On the ruler, each centimeter is marked with a number. For example, our ruler, which was in the first picture, had a length of 15 centimeters. The last centimeter on this ruler is marked with the number 15.

There are 10 millimeters in one centimeter. An equal sign can be placed between one centimeter and ten millimeters, since they denote the same length:

1 cm = 10 mm

You can see for yourself if you count the number of millimeters in the previous figure. You will find that the number of millimeters (distance between lines) is 10.

The next unit of measure for length is decimeter(dm). There are ten centimeters in one decimeter. An equal sign can be put between one decimeter and ten centimeters, since they denote the same length:

1 dm = 10 cm

You can verify this if you count the number of centimeters in the following figure:

You will find that the number of centimeters is 10.

The next unit of measurement is meter(m). There are ten decimeters in one meter. An equal sign can be placed between one meter and ten decimeters, since they denote the same length:

1 m = 10 dm

Unfortunately, the meter cannot be illustrated in the figure because it is quite large. If you want to see the meter live, take a tape measure. Everyone in the house has it. On a tape measure, one meter will be designated as 100 cm.This is because there are ten decimeters in one meter, and one hundred centimeters in ten decimeters:

1 m = 10 dm = 100 cm

100 is obtained by converting one meter to centimeters. This is a separate topic, which we will consider a little later. In the meantime, let's move on to the next unit of measure for length, which is called a kilometer.

The kilometer is considered the largest unit of measure for length. There are, of course, other older units, such as megameter, gigameter terameter, but we will not consider them, since a kilometer is enough for us to study mathematics further.

One kilometer is a thousand meters. An equal sign can be placed between one kilometer and one thousand meters, since they represent the same length:

1 km = 1000 m

Distances between cities and countries are measured in kilometers. For example, the distance from Moscow to St. Petersburg is about 714 kilometers.

International system of units SI

The international system of units SI is a set of generally accepted physical quantities.

The main purpose of the international system of SI units is to achieve agreements between countries.

We know that the languages ​​and traditions of the countries of the world are different. There is nothing you can do about it. But the laws of mathematics and physics work the same everywhere. If in one country “twice two will be four”, then in another country “twice two will be four”.

The main problem was that there are several units of measurement for each physical quantity. For example, we have now learned that there are millimeters, centimeters, decimeters, meters and kilometers for measuring length. If several scholars speaking different languages, will gather in one place to solve a problem, then such a large variety of units of measurement of length can give rise to contradictions between these scientists.

One scientist will state that in their country, length is measured in meters. The second might say that in their country, length is measured in kilometers. The third can offer its own unit of measurement.

Therefore, the international system of units SI was created. SI is an abbreviation for the French phrase. Le Système International d'Unités, SI (which in Russian means - the international system of units SI).

The SI contains the most popular physical quantities and each of them has its own generally accepted unit of measurement. For example, in all countries, when solving problems, it was agreed that the length would be measured in meters. Therefore, when solving problems, if the length is given in another unit of measurement (for example, in kilometers), then it must be converted to meters. We will talk about how to convert one unit of measurement to another a little later. In the meantime, let's draw our international system of units SI.

Our figure will be a table of physical quantities. We will include each studied physical quantity in our table and indicate the unit of measurement that is accepted in all countries. Now we have studied the units of measurement of length and learned that in the SI system, meters are defined for measuring length. So our table will look like this:

Mass units

Mass is a quantity that indicates the amount of a substance in a body. The people call body weight weight. Usually, when something is weighed, they say "It weighs so many kilograms" , although we are not talking about weight, but about the mass of this body.

However, mass and weight are different concepts. Weight is the force with which a body acts on a horizontal support. Weight is measured in newtons. And mass is a quantity that shows the amount of matter in this body.

But there is nothing wrong if you call body weight weight. Even in medicine they say "Human weight" , although we are talking about the mass of a person. The main thing is to be aware that these are different concepts.

The following units are used to measure mass:

  • milligrams;
  • grams;
  • kilograms;
  • centners;
  • tons.

The smallest unit of measurement is milligram(mg). You will most likely never use a milligram in practice. They are used by chemists and other scientists who work with fine substances. It is enough for you to know that such a unit of measure for mass exists.

The next unit of measurement is gram(G). In grams, it is customary to measure the amount of a product when drawing up a recipe.

There are a thousand milligrams in one gram. An equal sign can be placed between one gram and a thousand milligrams, since they denote the same mass:

1 g = 1000 mg

The next unit of measurement is kilogram(kg). The kilogram is a common unit of measurement. Anything is measured in it. The kilogram is included in the SI system. Let's and we will include one more physical quantity in our SI table. We will call it "mass":

One kilogram contains a thousand grams. An equal sign can be placed between one kilogram and one thousand grams, since they denote the same mass:

1 kg = 1000 g

The next unit of measurement is centner(c). In centners, it is convenient to measure the weight of the crop harvested from a small area or the weight of some cargo.

One centner contains one hundred kilograms. Between one centner and one hundred kilograms, you can put an equal sign, since they denote the same mass:

1 q = 100 kg

The next unit of measurement is ton(T). Large loads and masses of large bodies are usually measured in tons. For example, the mass of a spaceship or car.

There are a thousand kilograms in one ton. An equal sign can be put between one ton and a thousand kilograms, since they denote the same mass:

1 t = 1000 kg

Time units

We do not need to explain what time is. Everyone knows what time is and why it is needed. If we open a discussion about what time is and try to define it, then we will begin to delve into philosophy, and we do not need this now. Let's start with the units of time.

The following units of measure are used to measure time:

  • seconds;
  • minutes;
  • clock;
  • day.

The smallest unit of measurement is second(with). There are, of course, smaller units such as milliseconds, microseconds, nanoseconds, but we will not consider them, since at the moment there is no point in this.

Various indicators are measured in seconds. For example, in how many seconds an athlete will run 100 meters. The second is included in the SI international system of units for measuring time and is denoted as "s". Let's and we will include one more physical quantity in our SI table. We will call it "time":

minute(m). One minute 60 seconds. An equal sign can be placed between one minute and sixty seconds, since they represent the same time:

1 m = 60 s

The next unit of measurement is hour(h). One hour 60 minutes. An equal sign can be placed between one hour and sixty minutes, since they represent the same time:

1 h = 60 m

For example, if we studied this lesson for one hour and we are asked how much time we spent studying it, we can answer in two ways: "We studied the lesson for one hour" or so "We studied the lesson for sixty minutes" ... In both cases, we will answer correctly.

The next time unit is day... There are 24 hours a day. Between one day and twenty-four hours, you can put an equal sign, since they denote the same time:

1 day = 24 hours

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