Mai Canza Tsayi

Cikakken Jagora kan Auna Tsayi

Daga tsoffin wayewar kai da ke auna da sassan jiki zuwa ma'anoni na zamani daidai gwargwado na kimiyyar lissafi, auna tsayi shi ne tushen kimiyya, injiniyanci, da rayuwar yau da kullum. Ku ƙware a fasahar canza tsayi da cikakken jagoranmu.

Asalin Rukunin Awo na Tsayi

Mita (m)
Asalin rukunin awo na tsayi na SI, wanda aka ayyana a matsayin nisan da haske ke tafiya a cikin sarari mara iska a cikin 1/299,792,458 na daƙiƙa. Wannan ma'anar tana tabbatar da cikakkiyar daidaito da amfani a duniya baki ɗaya a duk aikace-aikacen kimiyya.

Tsarin Mita (SI)

Asalin Rukuni: Mita (m)

Amfani: Na goma-goma, na duniya, ma'aunin kimiyya

Amfani: Ƙasashe 195+ a duniya, dukkan fannonin kimiyya

  • nanomita
    10⁻⁹ m - Auna a ma'aunin atomic
  • milimita
    10⁻³ m - Injiniyancin daidaito
  • kilomita
    10³ m - Nisan wurare

Tsarin Imperial

Asalin Rukuni: Kafa (ft)

Amfani: Mai sauƙin fahimta ga ɗan adam, sananne a al'adance

Amfani: Amurka, wasu aikace-aikace a Burtaniya

  • inci
    1/12 ft - Ƙananan awo masu daidaito
  • yadi
    3 ft - Tufafi, filayen wasanni
  • mil (na duniya)
    5,280 ft - Nisan tituna
Mahimman Tunanin Auna Tsayi
  • Mita (m) ita ce asalin rukunin awo na SI wanda aka ayyana ta saurin haske - yana ba da cikakken daidaito ga dukkan awo
  • Tsarin mita yana amfani da kari na goma (nano-, milli-, kilo-) wanda ke sa canji ya zama mai sauƙi da daidai
  • Tsarin imperial yana ba da fahimtar ɗan adam amma yana buƙatar haddace abubuwan canji
  • Zaɓi mita don aikin kimiyya da ayyukan ƙasa da ƙasa, imperial don gine-gine a Amurka da amfanin yau da kullun
  • Fahimtar tsarin biyu yana da mahimmanci ga injiniyanci, kera, da sadarwar duniya

Tarihin Cigaban Ma'aunan Tsayi

Asalin Farko

Rukunin Awo na Jiki:

  • Cubit: Tsawon gwiwar hannu (≈18 inci)
  • Kafa: Tsawon ƙafar ɗan adam
  • Tafiya: Tsawon tafiya biyu
  • Taƙi: Faɗin hannu (daga babban yatsa zuwa ƙaramin yatsa)

Waɗannan sun bambanta daga mutum zuwa mutum, suna haifar da rikicin kasuwanci da hargitsi a awo.

Daidaitawar Sarauta

Ma'aunan Zamani na Tsakiya:

  • Ƙafar Sarki: Dangane da ma'aunan mai mulki
  • Sanda: ƙafa 16.5 don auna ƙasa
  • Ell: inci 45 don auna tufafi

Ma'aunan zahiri da aka ajiye a cikin taskokin sarauta, amma har yanzu sun bambanta tsakanin masarautu.

Juyin Juya Halin Kimiyya

Daidaiton Zamani:

  • 1793: An ayyana mita a matsayin 1/10,000,000 na layin dogo na Paris
  • 1960: An sake ayyana shi ta amfani da tsawon zango na krypton-86
  • 1983: Ma'anar yanzu ta amfani da saurin haske

Kowane sabon ma'anar ya ƙara daidaito da maimaitawa a duniya.

Auna Tsayi a Tarihi
  • Wayewar kai na da sun yi amfani da sassan jiki (cubit, ƙafa, span) suna ƙirƙirar awo na farko da aka daidaita
  • Kasuwancin zamani na tsakiya yana buƙatar rukunin awo masu daidaito, wanda ya haifar da ma'aunan sarauta da dokokin ƙungiyoyi
  • 1793: Juyin Juya Halin Faransa ya ƙirƙiri mita bisa kewayen duniya don karɓuwa a duniya
  • 1889: Samfurin mita na ƙasa da ƙasa ya kafa ma'aunan awo na duniya
  • 1983: Ma'anar mita na zamani tana amfani da saurin haske, yana ba da cikakken daidaito da kwanciyar hankali

Aikace-aikacen Aiki a Fannoni Daban-daban

Gine-gine da Auna ƙasa

Daidaito a cikin gine-gine yana tabbatar da amincin tsari, yayin da auna ƙasa ke kafa iyakokin doka da bayanan tsayi.

  • Dokokin gini: juriyar ±3 mm don ƙarfe na tsari, ±6 mm don sanya kankare
  • Auna ƙasa: daidaiton GPS ±5 cm a kwance, ±10 cm a tsaye don aikin iyaka
  • Tsarin tushe: daidaiton tashar gaba ɗaya zuwa ±2 mm don mahimman wuraren anga
  • Matsayin hanya: matakan laser suna kula da sarrafa tsayi na ±1 cm a kan nisan mita 100

Kerawa da Injiniyanci

Juriyar tana ƙayyade dacewa, aiki, da musanyawa. Matsayin juriyar ISO ya fito ne daga IT01 (0.3 μm) zuwa IT18 (250 μm).

  • Aikin inji na CNC: daidaitaccen ±0.025 mm (±0.001 a), aikin daidaito ±0.005 mm
  • Dacewar abin hawa: juriyar H7/g6 don aikace-aikace na gaba ɗaya, H6/js5 don daidaito
  • Sheet na ƙarfe: ±0.5 mm don lanƙwasawa, ±0.1 mm don yankan laser
  • Buga 3D: FDM ±0.5 mm, SLA ±0.1 mm, daidaiton Layer na ƙarfe SLM ±0.05 mm

Wasanni da Wasannin guje-guje

Girman da aka daidaita yana tabbatar da gasa mai adalci da ingancin rikodin a cikin wasannin Olympics da na ƙwararru.

  • Wasannin guje-guje da tsalle-tsalle: 400 m oval ±0.04 m, faɗin layi 1.22 m (±0.01 m)
  • Filin wasan ƙwallon ƙafa: 100-110 m × 64-75 m (FIFA), raga 7.32 m × 2.44 m daidai
  • Filin wasan ƙwallon kwando: NBA 28.65 m × 15.24 m, tsayin zobe 3.048 m (±6 mm)
  • Wuraren iyo: Olympic 50 m × 25 m (±0.03 m), faɗin layi 2.5 m

Tukin Jirgi da Zayyana Taswira

GPS, GIS, da zayyana taswira sun dogara da awo na tsayi mai daidaito don wurin da lissafin nisa.

  • Daidaiton GPS: farar hula ±5 m, WAAS/EGNOS ±1 m, RTK ±2 cm
  • Taswirar ruwa: zurfin a mita/fathom, nisa a mil na ruwa
  • Taswirar yanayin ƙasa: tazarar layi na 5-20 m, sikelin 1:25,000 zuwa 1:50,000
  • Tukin jirgin sama: Hanyoyin jirgin sama da aka ayyana ta mil na ruwa, tsayi a ƙafafu sama da MSL

Ilimin Falaki da Sararin Samaniya

Daga buɗe na'urar hangen nesa zuwa nisan sararin samaniya, awo na tsayi ya ƙunshi fiye da nau'ikan girma 60.

  • Buɗe na'urar hangen nesa: mai son 100-300 mm, bincike 8-10 m madubai
  • Hanyoyin tauraron dan adam: LEO 300-2,000 km, GEO 35,786 km tsayi
  • Gano duniyar waje: hanyar wucewa tana auna canjin diamitan tauraro ±0.01%
  • Nisan Galaxy: Ana auna shi a Mpc (megaparsecs), tsayayyen Hubble ±2% rashin tabbas

Ilimin Na'urar Kara Girman Hoto da Dakin Gwaje-gwaje

Ilimin halittu da kimiyyar kayan aiki sun dogara da daidaito na ƙasa da micron don hoton sel da nazarin tsarin nano.

  • Na'urar hangen nesa ta haske: ƙuduri ~200 nm (iyakar diffraction), nisan aiki 0.1-10 mm
  • Na'urar hangen nesa ta lantarki: ƙudurin SEM 1-5 nm, TEM <0.1 nm don hoton atomic
  • Awo na sel: ƙwayoyin cuta 1-10 μm, sel na dabbobi masu shayarwa 10-30 μm diamita
  • AFM (Ƙarfin Atomic): ƙudurin Z <0.1 nm, yankunan sikanin 100 nm zuwa 100 μm

Kayan Ado da Tufafi

Girman tufafi, awo na masana'anta, da rarraba tsari suna buƙatar ma'aunan tsayi masu daidaito a cikin sarƙoƙin samarwa na duniya.

  • Faɗin masana'anta: 110 cm (tufafi), 140-150 cm (kayan gida), 280 cm (zanin gado)
  • Izinin dinki: daidaitaccen 1.5 cm (⅝ a), dinkin Faransa 6 mm ninki biyu
  • Rarraba tsari: ƙarin girman 5 cm (ƙirji/kugu/kwatangwalo) don tufafin mata
  • Yawan zaren: zanin gado 200-800 zaren a kowane inci (mafi girma = saƙa mai kyau)

Gidaje da Gine-gine

Shirye-shiryen bene, girman fili, da buƙatun koma baya suna sarrafa ci gaban kadarori da kimantawa.

  • Shirye-shiryen bene: an zana su a sikelin 1:50 ko 1:100, girman daki ±5 cm
  • Tsawon rufi: daidaitaccen 2.4-3.0 m na zama, 3.6-4.5 m na kasuwanci
  • Koma bayan fili: gaba 6-10 m, gefe 1.5-3 m, baya 6-9 m (ya bambanta da yanki)
  • Girman kofa: daidaitaccen 80 cm × 200 cm, ADA yana buƙatar faɗin 81 cm

Cikakken Bayanin Ma'auni - Daga Kuantum zuwa sararin samaniya

Daga Mafi Karami zuwa Mafi Girma
Mai fassarawarmu ya ƙunshi fiye da nau'ikan girma 50 - daga ainihin iyakar sararin lokaci (tsawon Planck) zuwa sararin samaniya da ake iya gani. Wannan bayanin yana nuna inda kowane rukuni ya dace a cikin babban sikelin awo.

Ci gaban Ikon Goma

Matsayin Ma'auniWakilan Rukunin AwoAikace-aikaceMisalan Abubuwa
10⁻³⁵ mTsawon PlanckIlimin kimiyyar lissafi na Kuantum, Ka'idar igiyaAsalin iyakar sararin lokaci
10⁻¹⁵ mFemtomita, FermiIlimin kimiyyar lissafi na NukiliyaKwayoyin zarra, proton
10⁻¹¹ mRadius na BohrIlimin kimiyyar lissafi na AtomicZarar hydrogen
10⁻¹⁰ mAngstromIlimin sinadarai, KristalografiRadius na atomic, kwayoyin halitta
10⁻⁶ mMicromita, MicronIlimin halittu, Ilimin na'urar kara girman hotoKwayoyin cuta, sel
10⁻³ mMillimitaInjiniyanci, Ilimin halittuKwaro, kananan sassa
10⁻² mSantimitaAwo na yau da kullumKudi, yatsu
10⁻¹ mDecimita, HannuAwo na jikiFadin hannu, kananan kayan aiki
10⁰ mMita, YadiSikelin dan adam, Gine-gineTsawon dan adam, kayan daki
10³ mKilomita, MilIlimin kasa, SufuriGaruruwa, duwatsu
10⁶ mMegamitaNisan nahiyaKasashe, manyan tabkuna
10⁹ mGigamitaSikelin duniyoyiNisan duniya zuwa wata, diamitan duniyoyi
10¹¹ mRukunin Awo na FalakiTsarin ranaNisan duniya zuwa rana
10¹⁶ mShekarar Haske, ParsecNisan taurariTaurari na kusa
10²⁰ mKiloparsecTsarin galaxyTarin taurari, nebula
10²³ mMegaparsecNisan tsakanin galaxyTarin galaxy
10²⁶ mSararin Samaniya da ake iya ganiIlimin sararin samaniyaGefen sararin samaniya
Gaskiya masu ban mamaki game da sikelin

Fiye da nau'ikan girma 50: Mai fassarawarmu ya fi yawan adadin ƙwayoyin zarra a cikin jikin ɗan adam (≈10²⁷)!

Daidaito yana da mahimmanci: Kuskuren 1% wajen auna parsec ɗaya yana daidai da kilomita biliyan 326 - ya fi girman tsarin ranarmu gaba ɗaya.

Gadar Al'adu: Daga tsoffin cubit zuwa awo na kuantum - haɗa al'adun ɗan adam da kimiyya mai zurfi.

Mahimman Bayanan Canji

Misalan Saurin Canji

Mita 1→Kafa 3.2808
Kafa 1→Mita 0.3048 (daidai)
Inci 1→Santimita 2.540 (daidai)
Mil 1→Kilomita 1.609
Yadi 1→Mita 0.9144 (daidai)

Cikakken Jadawalin Canji

RukuniMitaKafaAmfani da aka saba
nanomita1 × 10⁻⁹3.28 × 10⁻⁹Sikelin kwayar halitta, atomic
maikromita1 × 10⁻⁶3.28 × 10⁻⁶Sel na halittu, daidaito
milimita1 × 10⁻³0.00328Kananan awo
santimita1 × 10⁻²0.0328Awo na jiki
inci0.02540.0833Allon nuni, kayan aiki
kafa0.30481Tsayi, girman daki
mita13.2808Ma'aunin kimiyya
yadi0.91443Tufafi, filayen wasanni
kilomita1,0003,280.8Nisan wurare
mil (na duniya)1,609.345,280Nisan tituna (Amurka)

Cikakken Jerin Rukunin Awo

Cikakken bayani game da dukkan rukunin awo na tsayi da aka tsara ta rukuni, tare da dabarun canji da bayanan aiki ga kowane rukuni.

SI / Metrik

Asalin rukunin awo na Tsarin Duniya (mita) tare da kari na goma daga atto- zuwa exa-.

RukuniAlamaMitaBayanan kula
kilomitakm1000Mita 1,000. Ma'auni don nisan wurare, alamun titi a duniya.
mitam1Asalin rukunin awo na SI. An ayyana shi ta saurin haske: nisan da aka yi tafiya a cikin 1/299,792,458 na daƙiƙa.
santimitacm0.011/100 na mita. Awo na jiki, abubuwan yau da kullun.
milimitamm0.0011/1,000 na mita. Awo masu daidaito, zane-zanen injiniyanci.
hektomitahm100
dekamitadam10
desimitadm0.1
maikromitaμm0.000001Micromita (micron). 10⁻⁶ m. Ilimin sel, girman ƙwayar cuta.
nanomitanm1e-9Nanomita. 10⁻⁹ m. Sikelin atomic, tsawon zango, fasahar nano.
pikomitapm1e-12Picomita. 10⁻¹² m. Tsawon haɗin atomic.
femtometerfm1e-15Femtomita (fermi). 10⁻¹⁵ m. Ilimin kimiyyar lissafi na nukiliya.
attometeram1e-18
exameterEm1e+18
petameterPm1e+15
terameterTm1e+12
gigameterGm1e+9Gigamita. 10⁹ m. Hanyoyin duniyoyi, sikelin tsarin rana.
megameterMm1e+6Megamita. 10⁶ m. Nisan nahiya.

Imperial / na Amurka

Rukunin awo na Imperial na Burtaniya da na Amurka da suka dogara da ƙafa (inci 12).

RukuniAlamaMitaBayanan kula
mil (na duniya)mi1609.344Mil na ƙasa. Ƙafa 5,280 = 1,609.344 m. Nisan tituna (Amurka/Burtaniya).
yadiyd0.9144Yadi. Ƙafa 3 = 0.9144 m. Tufafi, filayen wasanni (Amurka).
kafaft0.3048Kafa. Inci 12 = 0.3048 m (daidai). Tsawon dan adam, girman daki.
inciin0.0254Inci. 1/12 na ƙafa = 2.54 cm (daidai). Allon nuni, kayan aiki, katako.
kiloyadikyd914.4
furlongfur201.168Furlong. 1/8 na mil = 660 ƙafa. Gasar dawakai, noma.
sarkach20.1168Sarka. Ƙafa 66. Auna ƙasa, filin wasan kurket.
sandarrd5.0292Sanda (pole/perch). Ƙafa 16.5. Awo na ƙasa na tarihi.
perchperch5.0292
polepole5.0292
mahadali0.201168Haɗi. 1/100 na sarka = 0.66 ƙafa. Daidaiton awo.
fathomfath1.8288Fathom. Ƙafa 6. Awo na zurfin ruwa.
lea (na doka)lea4828.032League. Mil 3. Nisan da ya tsufa.
igiyarope6.096
barleycornbc0.0084666667

Kimiyya ba na SI ba

Awo a sikelin atomic, kuantum, da kwayar halitta.

RukuniAlamaMitaBayanan kula
micronμ0.000001
angstromÅ1e-10Angstrom. 10⁻¹⁰ m. Radius na atomic, tsarin crystal.
fermif1e-15
Tsayin Plancklₚ1.616255e-35
Radius na Bohra₀5.291772e-11
A.U. na tsayia.u.5.291772e-11
X-unitX1.002080e-13
radius na lantarki (na al'ada)re2.817941e-15

Falaki

Awo na nisan sararin samaniya, taurari, da sararin samaniya.

RukuniAlamaMitaBayanan kula
shekarar haskely9.460730e+15Shekarar Haske. 9.461×10¹⁵ m. Nisan taurari.
raka'ar astronomicalAU1.495979e+11
parsecpc3.085678e+16
kiloparseckpc3.085700e+19Kiloparsec. 1,000 parsec. Sikelin tsarin galaxy.
megaparsecMpc3.085700e+22Megaparsec. Miliyan 1 parsec. Nisan sararin samaniya.
Radius na Equator na DuniyaR⊕ eq6.378160e+6
Radius na Polar na DuniyaR⊕ pol6.356752e+6
Nisa tsakanin Duniya da Ranad⊕☉1.496000e+11
Radius na RanaR☉6.960000e+8

Ruwa

Tukin jirgin ruwa da ya dogara da mintuna na zagayen duniya.

RukuniAlamaMitaBayanan kula
mil na ruwa (na duniya)nmi1852Mil na ruwa (na duniya). Mita 1,852 daidai. Minti 1 na zagayen duniya.
mil na ruwa (Burtaniya)nmi UK1853.184
fathom (na ruwa)ftm1.8288
tsayin kebulcable185.2Tsawon Igiyar Ruwa. Mita 185.2 = 1/10 na mil na ruwa.
league na ruwa (na duniya)nl int5556
league na ruwa (Burtaniya)nl UK5559.552

Tsarin Awo na Amurka

Rukunin awo na geodetic masu cikakken daidaito don auna ƙasa (sun ɗan bambanta da na yau da kullun).

RukuniAlamaMitaBayanan kula
kafa (Binciken Amurka)ft surv0.304800609601Ƙafar Awo na Amurka. 1200/3937 m (kashi daidai). Bayanan ƙasa na doka, daidaiton geodetic.
inci (Binciken Amurka)in surv0.0254000508001
mil (Binciken Amurka)mi surv1609.34721869Mil na Awo na Amurka. Ƙafa 5,280 na awo. Daidaiton geodetic.
fathom (Binciken Amurka)fath surv1.82880365761
furlong (Binciken Amurka)fur surv201.168402337
sarka (Binciken Amurka)ch surv20.1168402337Sarka na Awo. Ƙafa 66 na awo = 20.11684 m.
mahada (Binciken Amurka)li surv2.01168402337Haɗin Awo. 1/100 na sarka na awo = 7.92 inci.
sandar (Binciken Amurka)rd surv5.02921005842Sanda na Awo. Ƙafa 16.5 na awo = 5.0292 m.

Rubutu

Rukunin awo na bugu da zanen dijital (maki, pica, twip).

RukuniAlamaMitaBayanan kula
picapc0.00423333333333Pica. Maki 12 = 1/6 na inci (daidai). Tazarar layi.
ayapt0.000352777777778
twiptwip0.0000176388888889Twip. 1/20 na maki = 1/1440 na inci (daidai). Rukunin awo na daidaiton software.

Injiniyanci / Daidaito

Rukunin awo na kera daidai (mil, microinch, caliber).

RukuniAlamaMitaBayanan kula
milmil0.0000254Dubun inci. Inci 0.001 = 0.0254 mm. Kaurin waya, kaurin murfin.
maikro-inciμin2.540000e-8Microinch. 10⁻⁶ na inci = 25.4 nm. Bayanin kammala fuska.
santi-incicin0.000254Centiinch. Inci 0.01 = 0.254 mm. Aikin inji mai daidaito.
calibercal0.000254Caliber. Inci 0.01. Bayanin diamitan harsashi.

Yanki / Al'adu

Rukunin awo na gargajiya na al'adu daban-daban.

RukuniAlamaMitaBayanan kula
arpent (Faransa)arp58.5216Arpent na Faransa. Mita 58.47. Awo na ƙasa a Louisiana, Quebec.
aln (Sweden)aln0.5937777778
famn (Sweden)famn1.7813333333
ken (Japan)ken2.11836Ken na Japan. Mita 1.818 = shaku 6. Gine-ginen gargajiya.
archin (Rasha)archin0.7112
vara (tarea)vara2.505456
vara (conuquera)vara2.505456
vara (castellana)vara0.835152
doguwar karal reed3.2004
karareed2.7432
doguwar gwiwar hannul cubit0.5334

Littafi Mai Tsarki / na Da

Ma'aunan awo na tarihi, na Littafi Mai Tsarki, da na da.

RukuniAlamaMitaBayanan kula
mil (na Roma)mi rom1479.804
actus (na Roma)actus35.47872
gwiwar hannu (Burtaniya)cubit0.4572
gwiwar hannu (na Girka)cubit0.462788
hannuh0.1016
span (na yadi)span0.2286Span. Inci 9 = 22.86 cm. Fadin hannu (daga babban yatsa zuwa ƙaramin yatsa).
ellell1.143
faɗin hannuhb0.0762
faɗin yatsafb0.01905
yatsa (na yadi)finger0.1143
farce (na yadi)nail0.05715
Mabuɗi

★ Shahararren saitin farko a cikin mai fassara

Asali: Dalilin canji zuwa mita (ninka don canzawa zuwa mita)

Rukunin Awo na Falaki da na Sararin Samaniya

Bayan Sikelin Dan Adam
Daga tsarin ranarmu zuwa sararin samaniya da ake iya gani, rukunin awo na falaki yana taimaka mana mu auna nisa mai yawa wanda rukunin awo na yau da kullum ba zai iya ba. Waɗannan sikelin suna daga biliyoyin kilomita zuwa tiriliyan shekarun haske.

Sikelin Tsarin Rana

  • Girman Duniya
    Radius na Equator: 6,378 km | Radius na Pole: 6,357 km
  • Radius na Rana
    696,000 km - sau 109 na radius na Duniya
  • Rukunin Awo na Falaki (AU)
    Miliyan 149.6 km - Nisan duniya zuwa rana

Sikelin Taurari da Galaxy

  • Shekarar Haske (ly)
    Tiriliyan 9.46 km - Nisan da haske ke tafiya a cikin shekara guda
  • Parsec (pc)
    Shekarun haske 3.26 - Awo na parallax na falaki
  • Kiloparsec da Megaparsec
    Nisan galaxy (kpc) da tsakanin galaxy (Mpc)

Bayanin Ma'auni

Proxima Centauri (tauraro mafi kusa)→Shekarun haske 4.24
Diamitan Milky Way→~Shekarun haske 100,000
Galaxy na Andromeda→Miliyan 2.5 shekarun haske
Radius na Sararin Samaniya da ake iya gani→Biliyan 46.5 shekarun haske

Rukunin Awo na Jirgin Ruwa da na Ruwa

Daidaiton Ruwa
Tukin jirgin ruwa yana buƙatar rukunin awo na musamman da suka dogara da kewayen duniya da buƙatun aiki na tukin jirgin. Waɗannan rukunin awo sun samo asali ne daga ƙwarewar shekaru da dama na tukin jirgin ruwa kuma har yanzu suna da mahimmanci ga tsarin tukin jirgi na zamani.

Ma'aunan Duniya

  • Mil na Ruwa (na Duniya)
    Mita 1,852 - Daidai da minti 1 na zagayen duniya
  • Tsawon Igiyar Ruwa
    Mita 185.2 - 1/10 na mil na ruwa don gajerun nisa
  • Fathom (na Ruwa)
    Mita 1.83 - Awo na zurfi, dangane da fadin hannu

Bambance-bambancen Yanki

  • Mil na Ruwa na Burtaniya
    Mita 1,853.18 - Ma'aunin Admiralty na Burtaniya na tarihi
  • League na Ruwa (na Duniya)
    Kilomita 5.56 - Mil 3 na ruwa na gargajiya
  • League na Ruwa (Burtaniya)
    Kilomita 5.56 - Bambancin Burtaniya, ya ɗan fi tsayi
Me yasa Mil na Ruwa ke da Mahimmanci?

Alaƙar mil na ruwa da siffar duniya ta sa ya zama dole don tukin jirgi. Mil na ruwa ɗaya yana daidai da minti ɗaya na latitude, wanda ke sa lissafin wuri ya zama na halitta kuma mai sauƙin fahimta a kan taswirar ruwa. Wannan alaƙar tsakanin nisa da awo na kusurwa shine dalilin da yasa tsarin GPS da jiragen sama har yanzu suke amfani da mil na ruwa a yau.

Rukunin Awo na Kimiyya da na Atomic

Daga Sikelin Kuantum zuwa Sikelin Kwayar Halitta
Daga mafi ƙanƙantar tsayi mai yiwuwa (tsawon Planck) zuwa girman kwayar halitta, rukunin awo na kimiyya yana ba da damar awo mai daidaito a fannin kimiyyar lissafi, kimiyyar sinadarai, da fasahar nano. Waɗannan rukunin awo galibi suna da mahimmancin kimiyyar lissafi na asali.

Kwayar Halitta da Atomic

  • Angstrom (Å)
    10⁻¹⁰ m - Radius na atomic, tsarin crystal
  • Radius na Bohr
    5.29×10⁻¹¹ m - Matsayin asali na zarra na hydrogen
  • Micron (μ)
    10⁻⁶ m - Wani suna don micromita

Nukiliya da Kuantum

  • Fermi (fm)
    10⁻¹⁵ m - Awo a sikelin nukiliya
  • Tsawon Planck
    1.616255×10⁻³⁵ m - Asalin iyakar kuantum (CODATA 2018)
  • Radius na Lantarki na gargajiya
    2.82×10⁻¹⁵ m - Girman lantarki na ka'ida

X-ray da Spectroscopy

  • Rukunin X
    1.00×10⁻¹³ m - Kristalografi na X-ray
  • A.U. na Tsayi
    Kamar radius na Bohr - Tsarin rukunin awo na atomic
  • Siffar Tsari
    3.56×10⁻¹⁰ m - Nisan tsarin crystal

Rukunin Awo na Gargajiya na Yanki da Al'adu

Al'adun Gargajiya a Awo
Tsarin awo na gargajiya yana nuna tarihi, al'adu, da buƙatun aiki na wayewar kai daban-daban. Yawancinsu har yanzu ana amfani da su a yau don takamaiman dalilai, suna kiyaye ilimin al'adu na ƙarni da amfani da aiki.

Na Gargajiya na Turai

  • Arpent (Faransa)
    Mita 58.5 - Awo na ƙasa, har yanzu ana amfani da shi a Louisiana
  • Aln (Sweden)
    Santimita 59.4 - Rukunin awo na tsayi na gargajiya na Sweden
  • Famn (Sweden)
    Mita 1.78 - Daidai da fathom, awo na fadin hannu
  • Archin (Rasha)
    Santimita 71.1 - Rukunin awo na daular Rasha

Na Asiya da Gabas

  • Ken (Japan)
    Mita 2.12 - Rukunin awo na gine-ginen gargajiya na Japan
  • Reed da Long Reed
    Rukunin awo na Littafi Mai Tsarki na da - 2.74m da 3.20m

Na Mulkin Mallaka na Spain

  • Vara (Nau'o'i da yawa)
    Tsawon daban-daban: Castellana (83.5cm), Tarea (2.5m)
  • Long Cubit
    Santimita 53.3 - Sigar da aka faɗaɗa ta cubit na yau da kullun
  • Legua (League)
    Kilomita 4.19 - Awo na nisa na mulkin mallaka na Spain
  • Estadal
    Mita 3.34 - Sandar awo na mulkin mallaka
Aikace-aikace na Zamani

Yawancin rukunin awo na yanki suna ci gaba da kasancewa a cikin yanayi na musamman: arpent na Faransa a cikin bayanan ƙasa na Louisiana, ken na Japan a cikin gine-ginen gargajiya, da vara na Spain a cikin bayanin kadarori a kudu maso yammacin Amurka. Fahimtar waɗannan rukunin awo yana da mahimmanci don binciken tarihi, takaddun doka, da kiyaye al'adu.

Rukunin Awo na Littafi Mai Tsarki da na Tarihi na Da

Awo na Da
Daga injiniyancin Roma zuwa bayanan Littafi Mai Tsarki, rukunin awo na da suna ba da haske game da wayewar kai na tarihi kuma suna ci gaba da dacewa da nazarin ilimin kimiya na kayan tarihi, fassarar littattafai na addini, da sake gina tarihi.

Na Daular Roma

  • Mil na Roma
    Mita 1,480 - tafiya 1000 (mille passus)
  • Actus (na Roma)
    Mita 35.5 - Rukunin awo na ƙasa
  • Passus (Tafiyar Roma)
    Mita 1.48 - Tafiya biyu a cikin tafiyar Roma

Na Littafi Mai Tsarki da na Ibrananci

  • Cubit (Nau'o'i da yawa)
    Burtaniya: 45.7cm, Girka: 46.3cm - Tsawon gwiwar hannu
  • Span da Handbreadth
    Span: 22.9cm, Handbreadth: 7.6cm
  • Fingerbreadth
    Santimita 1.9 - Rukunin awo mafi ƙanƙanta na Littafi Mai Tsarki

Na Zamani na Tsakiya da Kasuwanci

  • Hannu
    Santimita 10.2 - Har yanzu ana amfani da shi don auna dawakai
  • Ell
    Santimita 114.3 - Ma'aunin awo na tufafi
  • Finger da Nail (Tufafi)
    11.4cm da 5.7cm - Daidaiton tufafi

Injiniyanci da Kera daidai

Injiniyancin Micro-Precision
Kerawa na zamani yana buƙatar cikakken daidaito. Rukunin awo na injiniyanci yana ba da daidaiton da ake buƙata don zirga-zirgar jiragen sama, lantarki, da injinan daidaito inda ake auna juriyar a miliyoyin inci.

Kera daidai

  • Mil (Dubu)
    Millimita 0.0254 - 1/1000 na inci, kaurin waya da takarda
  • Microinch
    0.0254 μm - Bayanin kammala fuska
  • Centiinch
    Millimita 0.254 - 1/100 na inci na daidaito

Makaman Wuta da Ballistics

  • Caliber
    Millimita 0.254 - Bayanin diamitan harsashi
  • Tsawon Ganga
    Millimita 406.4 - Ganga na bindiga inci 16 na yau da kullun
  • Rifling Pitch
    Millimita 254 - Juyawa ɗaya cikakke a kowane inci 10

Rukunin Awo na Rubutu da Zane

Rubutun Buga da na Dijital
Rukunin awo na rubutu sun samo asali ne daga buƙatun bugu na zahiri kuma suna ci gaba da zama masu mahimmanci ga zanen dijital na zamani. Waɗannan rukunin awo suna tabbatar da girman da ya dace a kan kafofin watsa labarai daban-daban kuma suna kiyaye ma'aunan karantawa.

Rubutun Gargajiya

  • Point (pt)
    Millimita 0.35 - Ma'aunin girman rubutu (1/72 na inci)
  • Pica (pc)
    Millimita 4.23 - maki 12, tazarar layi
  • Twip
    Millimita 0.018 - 1/20 na maki, daidaiton software

Aikace-aikace na Zamani

Zanen Buga: Maki da pica don sarrafa shimfidawa daidai

Zanen Yanar Gizo: Maki don girman rubutu, pica don tsarin grid

Software: Twip don lissafin ciki da daidaito

Saurin Canji

  • Maki 72 = inci 1
  • Pica 6 = inci 1
  • Twip 20 = maki 1
  • Twip 1440 = inci 1

Tsarin Awo na Amurka - Daidaiton Geodetic

Awo mai Cikakken Daidaito
Rukunin awo na Amurka yana ba da cikakken daidaiton da ake buƙata don awo na geodetic, iyakokin kadarori, da zayyana manyan taswira. Waɗannan rukunin awo suna la'akari da lanƙwasar duniya kuma suna ba da daidaito na doka don mallakar ƙasa.

Awo da Standard

Babban Bambanci: Rukunin awo na Amurka sun ɗan fi na duniya tsayi

  • Ƙafar Awo
    Santimita 30.480061 da santimita 30.48 (na duniya)
  • Mil na Awo
    Mita 1,609.347 da mita 1,609.344 (na duniya)

Rukunin Awo na Ƙasa

  • Sarka (Awo)
    Mita 20.12 - ƙafa 66 na awo, awo na ƙasa
  • Haɗi (Awo)
    Santimita 20.1 - 1/100 na sarka, awo masu daidaito
  • Sanda (Awo)
    Mita 5.03 - ƙafa 16.5 na awo
Mahimmancin Doka

Rukunin awo na Amurka suna da matsayin doka don bayanin kadarori a Amurka. Ƙananan bambance-bambance da rukunin awo na duniya na iya haifar da manyan bambance-bambance a kan nisa mai tsawo, wanda ke sa daidaito ya zama mai mahimmanci ga iyakokin doka da manyan ayyukan gine-gine.

Mafi kyawun Ayyuka don Daidaito da Awo

Muhimmin Tunani: Daidaito da Tabbaci

Daidaito: Daidaiton awo da aka maimaita (yadda sakamako suke kusa da juna)

Tabbaci: Kusancin zuwa ainihin darajar (yadda sakamako suke kusa da ainihin awo)

Dukansu suna da mahimmanci don awo na tsayi mai inganci a aikace-aikacen ƙwararru.

Kayan Awo da Daidaito

Kayan AikiDaidaitoMafi Kyau Don
Rula±1 mmAwo na gaba ɗaya
Calipers±0.02 mmKananan sassa, kauri
Micromita±0.001 mmAikin inji mai daidaito
Nisan Laser±1 mmNisa mai tsawo
Injin Mai Gudanarwa±0.0001 mmSarrafa inganci

Lambobi Masu Mahimmanci a Tsayi

  • Dokar Gabaɗaya
    Bayar da rahoton sakamako da daidaiton da ya dace da kayan aikin awonka
  • Lissafi
    Ana iyakance daidaiton sakamako na ƙarshe ta hanyar shigarwa mafi ƙarancin daidaito
  • Injiniyanci
    Yi la'akari da juriyar kera da kaddarorin abu
  • Takardu
    Yi rikodin yanayin awo da kimanta rashin tabbas

Shawarwari na ƙwararru da Mafi kyawun Ayyuka

Taimakon Tunawa

  • Mita ≈ Yadi: Dukansu suna kusan ƙafa 3 (mita ya ɗan fi tsayi)
  • "Inci-Santimita": inci 1 = 2.54 cm (daidai)
  • "Mil-Kilomita": mil 1 ≈ 1.6 km, km 1 ≈ 0.6 mil
  • Sikelin Dan Adam: Matsakaicin tafiya ≈ 0.75m, faɗin hannu ≈ tsayi

Kuskuren da aka saba

  • Rikicin Rukunin Awo: Koyaushe saka rukunin awo a cikin lissafi
  • Daidaito na Ƙarya: Kada a bayar da rahoton goma na goma daga awo na rula
  • Tasirin Zafi: Abubuwa suna faɗaɗa/raguwa da zafi
  • Kuskuren Parallax: Karanta awo a tsaye zuwa sikelin

Ma'aunan Duniya

  • ISO 80000: Ma'aunin duniya don yawa da rukunin awo
  • Jagororin NIST: Ma'aunan awo na Amurka da mafi kyawun ayyuka
  • BIPM: Ofishin Duniya na Ma'auni da Sikeli
  • Bibiya: Haɗa awo zuwa ma'aunan ƙasa

Aikace-aikacen Aiki a Fannoni Daban-daban

Gine-gine da Auna ƙasa

Daidaito a cikin gine-gine yana tabbatar da amincin tsari, yayin da auna ƙasa ke kafa iyakokin doka da bayanan tsayi.

  • Dokokin gini: juriyar ±3 mm don ƙarfe na tsari, ±6 mm don sanya kankare
  • Auna ƙasa: daidaiton GPS ±5 cm a kwance, ±10 cm a tsaye don aikin iyaka
  • Tsarin tushe: daidaiton tashar gaba ɗaya zuwa ±2 mm don mahimman wuraren anga
  • Matsayin hanya: matakan laser suna kula da sarrafa tsayi na ±1 cm a kan nisan mita 100

Kerawa da Injiniyanci

Juriyar tana ƙayyade dacewa, aiki, da musanyawa. Matsayin juriyar ISO ya fito ne daga IT01 (0.3 μm) zuwa IT18 (250 μm).

  • Aikin inji na CNC: daidaitaccen ±0.025 mm (±0.001 a), aikin daidaito ±0.005 mm
  • Dacewar abin hawa: juriyar H7/g6 don aikace-aikace na gaba ɗaya, H6/js5 don daidaito
  • Sheet na ƙarfe: ±0.5 mm don lanƙwasawa, ±0.1 mm don yankan laser
  • Buga 3D: FDM ±0.5 mm, SLA ±0.1 mm, daidaiton Layer na ƙarfe SLM ±0.05 mm

Wasanni da Wasannin guje-guje

Girman da aka daidaita yana tabbatar da gasa mai adalci da ingancin rikodin a cikin wasannin Olympics da na ƙwararru.

  • Wasannin guje-guje da tsalle-tsalle: 400 m oval ±0.04 m, faɗin layi 1.22 m (±0.01 m)
  • Filin wasan ƙwallon ƙafa: 100-110 m × 64-75 m (FIFA), raga 7.32 m × 2.44 m daidai
  • Filin wasan ƙwallon kwando: NBA 28.65 m × 15.24 m, tsayin zobe 3.048 m (±6 mm)
  • Wuraren iyo: Olympic 50 m × 25 m (±0.03 m), faɗin layi 2.5 m

Tukin Jirgi da Zayyana Taswira

GPS, GIS, da zayyana taswira sun dogara da awo na tsayi mai daidaito don wurin da lissafin nisa.

  • Daidaiton GPS: farar hula ±5 m, WAAS/EGNOS ±1 m, RTK ±2 cm
  • Taswirar ruwa: zurfin a mita/fathom, nisa a mil na ruwa
  • Taswirar yanayin ƙasa: tazarar layi na 5-20 m, sikelin 1:25,000 zuwa 1:50,000
  • Tukin jirgin sama: Hanyoyin jirgin sama da aka ayyana ta mil na ruwa, tsayi a ƙafafu sama da MSL

Ilimin Falaki da Sararin Samaniya

Daga buɗe na'urar hangen nesa zuwa nisan sararin samaniya, awo na tsayi ya ƙunshi fiye da nau'ikan girma 60.

  • Buɗe na'urar hangen nesa: mai son 100-300 mm, bincike 8-10 m madubai
  • Hanyoyin tauraron dan adam: LEO 300-2,000 km, GEO 35,786 km tsayi
  • Gano duniyar waje: hanyar wucewa tana auna canjin diamitan tauraro ±0.01%
  • Nisan Galaxy: Ana auna shi a Mpc (megaparsecs), tsayayyen Hubble ±2% rashin tabbas

Ilimin Na'urar Kara Girman Hoto da Dakin Gwaje-gwaje

Ilimin halittu da kimiyyar kayan aiki sun dogara da daidaito na ƙasa da micron don hoton sel da nazarin tsarin nano.

  • Na'urar hangen nesa ta haske: ƙuduri ~200 nm (iyakar diffraction), nisan aiki 0.1-10 mm
  • Na'urar hangen nesa ta lantarki: ƙudurin SEM 1-5 nm, TEM <0.1 nm don hoton atomic
  • Awo na sel: ƙwayoyin cuta 1-10 μm, sel na dabbobi masu shayarwa 10-30 μm diamita
  • AFM (Ƙarfin Atomic): ƙudurin Z <0.1 nm, yankunan sikanin 100 nm zuwa 100 μm

Kayan Ado da Tufafi

Girman tufafi, awo na masana'anta, da rarraba tsari suna buƙatar ma'aunan tsayi masu daidaito a cikin sarƙoƙin samarwa na duniya.

  • Faɗin masana'anta: 110 cm (tufafi), 140-150 cm (kayan gida), 280 cm (zanin gado)
  • Izinin dinki: daidaitaccen 1.5 cm (⅝ a), dinkin Faransa 6 mm ninki biyu
  • Rarraba tsari: ƙarin girman 5 cm (ƙirji/kugu/kwatangwalo) don tufafin mata
  • Yawan zaren: zanin gado 200-800 zaren a kowane inci (mafi girma = saƙa mai kyau)

Gidaje da Gine-gine

Shirye-shiryen bene, girman fili, da buƙatun koma baya suna sarrafa ci gaban kadarori da kimantawa.

  • Shirye-shiryen bene: an zana su a sikelin 1:50 ko 1:100, girman daki ±5 cm
  • Tsawon rufi: daidaitaccen 2.4-3.0 m na zama, 3.6-4.5 m na kasuwanci
  • Koma bayan fili: gaba 6-10 m, gefe 1.5-3 m, baya 6-9 m (ya bambanta da yanki)
  • Girman kofa: daidaitaccen 80 cm × 200 cm, ADA yana buƙatar faɗin 81 cm

Tambayoyi da Amsoshi

Me yasa Amurka ba ta amfani da tsarin mita?

Amurka tana amfani da tsari biyu. Kimiyya, magani, soja, da kera suna amfani da mita sosai. Aikace-aikacen mabukata sun kasance na imperial saboda tsadar ababen more rayuwa, sanin al'adu, da kuma sannu a hankali na sauye-sauyen tsarin awo.

Ta yaya zan tuna da kari na mita?

Yi amfani da hanyar tunawa: 'King Henry Died By Drinking Chocolate Milk' don kilo-, hecto-, deka-, asali, deci-, centi-, milli-. Kowane mataki shine ×10 ko ÷10. Mayar da hankali kan waɗanda ake yawan amfani da su: kilo (×1000), centi (÷100), milli (÷1000).

Mene ne bambanci tsakanin daidaito da tabbaci?

Daidaito shine maimaitawa (sakamako mai daidaito). Tabbaci shine daidaito (ainihin darajar). Kuna iya zama daidai amma ba daidai ba (kuskuren tsari), ko daidai amma ba daidai ba (kuskuren bazuwar). Kyakkyawan awo yana buƙatar duka biyun.

Yaushe zan yi amfani da kayan awo daban-daban?

Rula: ±1mm, amfani da gaba ɗaya. Calipers: ±0.1mm, kananan abubuwa. Micromita: ±0.01mm, aikin daidaito. Nisan laser: ±1mm, nisa mai tsawo. Zaɓi dangane da daidaiton da ake buƙata da girman abu da samuwa.

Yaya daidaiton awo yake buƙata?

Daidaita daidaito da manufa: gini ±3mm, aikin inji ±0.1mm, binciken kimiyya ±0.001mm ko fiye. Yawan daidaito yana ɓata lokaci da kuɗi, rashin daidaito yana haifar da gazawa. Yi la'akari da buƙatun juriyar da ikon awo.

Waɗanne ne kuskuren canji da aka fi sani?

Rikicewar canjin yanki/girman (1m² = 10,000cm² ba 100cm² ba), haɗa tsarin rukunin awo a tsakiyar lissafi, mantawa da lambobi masu mahimmanci, amfani da abubuwan canji marasa daidai (5280 ft/mi da 1760 yd/mi), da rashin duba ingancin amsar ƙarshe.

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