Mayar da Mach zuwa m/s lambar Mach ↔ mita a daƙiƙa Kyauta A kan layi Amintacce
Ku rubuta ƙima a lambar Mach ku karanta ta a mita a daƙiƙa nan take. Lissafin yana faruwa a cikin burauzarku kuma ba a aika komai ko'ina ba — kuma an ambaci lambar da yake amfani da ita a ƙasa, domin wannan ya dogara da iska.
Ba a ɗora komai ba
Mayar daga lambar Mach
Mayar zuwa mita a daƙiƙa
Ƙimomin da aka fi amfani da su — Mayar da Mach zuwa m/s (lambar Mach ↔ mita a daƙiƙa)
| Mach | m/s |
|---|---|
| 0.5 | 170.147 |
| 0.8 | 272.2352 |
| 1 | 340.294 |
| 1.5 | 510.441 |
| 2 | 680.588 |
| 3 | 1020.882 |
| 5 | 1701.47 |
| 10 | 3402.94 |
Daga ina waɗannan ma'aunai suka fito
Gudu ba shi da ma'auni na kansa: tsawo ne da aka raba da lokaci, don haka kowace sana'a kawai ta riƙe tsawon da take amfani da shi tun da farko. Shi ya sa motsi ɗaya yake 100 km/h a allon hanya na Turai, 62 mph a na Amurka, kuma 27.8 m/s a tambayar physics. Knot shi ne mafi tsufa a cikinsu kuma mafi kai tsaye: ma'aikatan jirgin ruwa kan saki igiya mai ƙulli da aka daura a tazara iri ɗaya, su kuma ƙirga ƙullin da suka wuce ta yatsunsu yayin da gilashin yashi ke zubewa, don haka ake karanta gudu da ƙulli. Knot ɗaya mil na teku ɗaya ne a awa, kuma mil na teku minti ɗaya ne na latitude — shi ya sa jiragen ruwa da jiragen sama har yanzu suke amfani da shi. Gudun haske shi ne na musamman: tun 1983 ba a auna shi ba, an tabbatar da shi a 299,792,458 m/s daidai, domin yanzu an bayyana mita daga gare shi.
Inda kuke haɗuwa da su
Kilomita da mil a awa suna kan na'urar auna gudu (speedometer) da allunan hanya, mita a daƙiƙa a physics, injiniyanci da rahotannin iska, ƙafa a daƙiƙa a ilimin ballistics da wuraren bita na Amurka. Knot yana ɗaukar jigilar ruwa, zirga-zirgar jirgin sama da yanayin teku, kuma lambobin Mach suna fitowa duk inda jirgi ya yi sauri har taurin iska kanta ya shiga lissafi. Gudun haske yana fitowa a rayuwar yau da kullum ƙasa da a tazara: shekarar haske ita ce kawai nisan da yake kaiwa a cikin shekara ɗaya.
Tambayoyin da mutane ke yi
Shin Mach 1 gudu ne tabbatacce?
A'a. Mach ƙima ce da aka kwatanta da gudun sauti a cikin iskar da ke kewaye, kuma sauti yana tafiya a hankali a iska mai sanyi. Wannan shafin yana amfani da ƙimar matakin teku ta yau da kullum, 340.294 m/s, don haka Mach 1 a nan kusan 1225 km/h ne. A tsayin da jiragen fasinja ke tafiya, iska ta fi sanyi da kusan digiri 50, kuma Mach 1 ɗin nan ya yi hankali da kusan kashi ɗaya cikin goma. Don haka jirgi zai iya riƙe lambar Mach ɗaya yayin da gudunsa a kan ƙasa yake canzawa.
Me ya sa jiragen ruwa da jiragen sama suke amfani da knot ba km/h ba?
Domin mil na teku shi ne minti ɗaya na kusurwa na latitude. Jirgi mai tafiya knot ɗaya yana tsallake minti ɗaya na latitude a cikin awa ɗaya, don haka gudu, lokaci da wuri a taswira suna dacewa ba tare da juyawa ba. Wannan tunani ɗaya ne ya riƙe mil na teku a mita 1852 daidai maimakon a zagaye shi zuwa wani abu mai kyau.
Shin amsar daidai ce?
Inda aka ayyana ma'aunai biyun ta hanyar juna da cikakkun lambobi, i — shafin yana faɗin haka a saman lambar, kuma zagaye kawai shi ne yawan lambobin da ake nunawa. Inda rabon ba shi da lambar goma mai ƙarewa, shafin yana nuna muhimman lambobi goma sha biyu kuma yana cewa alaƙar kintace ce maimakon ya yi kamar ba haka ba ne.
Shin wani abu da na rubuta yana barin na'urata?
A'a. Ana yin lissafin a cikin burauzarku; ba a ɗora komai ba, kuma babu uwar garke da za a ɗora zuwa gare ta. Ku buɗe shafin sau ɗaya zai ci gaba da aiki ko da an kashe hanyar sadarwa.
Daga lambar Mach zuwa mita a daƙiƙa a aikin injiniya: bututun fitarwa, ramukan iska, turbin da kwaikwayo
Injiniya da ke saita bututun fitarwa na supersonic, gwajin ramin iska ko samfurin kwamfuta yana aiki a raka'o'in SI, amma ƙayyadaddun sau da yawa suna cewa “Mach 2.5”. Mayar da wannan lambar zuwa mita a daƙiƙa ƙaramin lissafi ne mai zato ɗaya mai girma: zafin iskar. Don canza Mach zuwa m/s ga iska ta ƙa'ida a 15 °C, ninka da 340.294: Mach 0.5 shi ne 170.1 m/s, Mach 1 shi ne 340.3 m/s kuma Mach 2 shi ne 680.6 m/s. Mai lissafin da ke sama yana yin ninkawar yayin da kake rubutu, kuma sassan da ke ƙasa suna nuna daga ina lambar ta fito da lokacin da ba ta dace ba.
Shafin yana ƙunshe da ƙa'ida tare da misalai masu aiki, bayani game da kowace raka'a, kwatance da dogon jerin yanayin injiniya, sai kuma tarkunan da aka saba. Lissafin yana gudana a cikin burauzarka kuma babu abin da ka rubuta da ake aika wa wani wuri. A rahotannin fasaha, koyaushe faɗi iskar da zafin da ka ɗauka.
Yadda ake canza Mach zuwa m/s: ninka da 340.294
Ƙa'idar
Gudun sauti a cikin gas mai kyau shi ne tushen murabba'in γRT/M, inda γ rabon ƙarfin zafi ne, R ma'aunin gas, T cikakken zafin jiki kuma M nauyin molar. Ga iska, γ = 1.4 kuma M = 0.028965 kg/mol, don haka a 288.15 K dabarar tana ba da 340.29 m/s. Don canza Mach zuwa m/s, ninka lambar Mach da wannan lamba. Mach 0.8 yana ba da 272.2 m/s, Mach 3 yana ba da 1,020.9 m/s kuma Mach 10 yana ba da 3,402.9 m/s. Don komawa, raba m/s da 340.294.
Misalai masu aiki
Lissafin “canza Mach zuwa m/s” don gwajin transonic a Mach 0.85 a iska ta 15 °C yana ba da 289.2 m/s. Ramin supersonic a Mach 2.5 yana aiki a 850.7 m/s. Cibiyar hypersonic a Mach 6.7 tana aiki a 2,280 m/s kuma yanayin komawa na Mach 25 yana dacewa da 8,507 m/s ta ma'aunin matakin teku.
Abin da ma'aunin ya bari
Mach rabo ne, don haka 340.294 yana aiki ne kawai ga iska ta 15 °C. A −56.5 °C, zafin a kilomita 11, sauti yana tafiya a 295.1 m/s, kuma Mach 2 sai ya zama 590 m/s ba 681 m/s ba.
Gwajin hankali cikin sauri
Amsar a m/s ya kamata ta fi lambar Mach fiye da sau ɗari uku. Idan lissafin “canza Mach zuwa m/s” ya ba da lamba ƙasa da wadda ka fara da ita, ka raba bisa kuskure.
Lambar Mach
Rabo mara raka'a
Lambar Mach ita ce rabon gudu ga gudun sauti na wurin. A matsayin rabon gudu biyu, ba ta da raka'a. An sanya mata suna bayan Ernst Mach, wanda ya ɗauki hoton raƙuman girgiza kewaye da harsasai na supersonic a shekarun 1880.
Inda take bayyana
Aerodynamics, gas dynamics, tuƙi, ballistics da sautin ilimin kimiyya.
Mita a daƙiƙa
Raka'ar gudu ta SI
Mita a daƙiƙa ita ce raka'ar gudu mai haɗin kai ta SI. Ana rubuta ma'aunan gas dynamics, kamar alaƙar isentropic da dabarun kwararar taro, a cikinta, kuma rahotannin gwaji yawanci suna ba da gudu a m/s.
Inda take bayyana
Littattafan injiniya, rahotannin gwaji, ƙa'idodi da fitowar kwaikwayo.
Mach da mita a daƙiƙa
Mach ɗaya shi ne 340.3 m/s a 15 °C, don haka lambar a m/s ta fi girma fiye da sau ɗari uku. Mach 0.1 shi ne 34 m/s kuma Mach 10 shi ne 3,403 m/s. Ba kamar m/s ba, Mach yana dogara ga gas da zafinsa.
Canjin daidai ne kawai ga sharuɗɗan da aka faɗa. Kuskuren da aka saba shi ne amfani da 340.294 ga gas ko zafi da ba a lissafa shi ba.
Inda canjin yake bayyana
Ramukan iska
Rami a Mach 0.3 yana da kwarara ta 102 m/s, wanda yake a Mach 0.8 kwarara ta 272 m/s kuma na supersonic a Mach 2 kwarara ta 681 m/s, a 15 °C. Ainihin gudun yana bin zafin a sashen gwaji. Lissafin “canza Mach zuwa m/s” shi ne layin farko na kowane tsarin gwaji.
Bututun fitarwa na roka
A bututun fitarwa na roka gas yana fita a 2,500 zuwa 3,500 m/s. Gudun sauti na gida a cikin hayaƙin zafi kusan 1,000 m/s ne, don haka lambar Mach ta fitarwa yawanci 3 zuwa 4 ce. Injiniya yana faɗin aiki a matsayin gudun fitarwa a m/s da kuma a matsayin lambar Mach, bisa ga masu sauraro.
Kwaikwayo
Ana iya ciyar da lambobin computational fluid dynamics ko lambar Mach da zafi, ko gudu. Canzawa tsakaninsu mataki ne na yau da kullum, kuma kuskure a zafin yana ba da kuskuren gudu na kusan kashi 0.17 cikin ɗari ga kowane digiri.
Alaƙar isentropic
Rabon zafin tsayawa zuwa na tsaye a kwarara shi ne 1 + 0.2 M² ga iska. A Mach 2 a iska ta 288 K wannan hawan zafin jiki ne na 230 K, kuma a Mach 3 na 518 K. Waɗannan dabaru suna amfani da Mach a matsayin babban canji, kuma gudun a m/s yana biyo baya idan an san zafin tsaye.
Dabarun spreadsheet
Don canza Mach zuwa m/s a spreadsheet, sanya lambobin Mach a ginshiƙi A ka shigar da =A2*340.294 a ginshiƙi B. Don wani zafin jiki T a °C, lissafa gudun sauti na gida da =20.0468*SQRT(273.15+T) ka ninka lambar Mach da shi.
Haɗawa da wasu ginshiƙai
Ginshiƙi na uku da ke raba B da 3.6 ko ninka da 3.6 yana ba da km/h, don ka kwatanta sakamakon da ƙayyadaddun abin hawa ko cibiya.
Zagayewa da daidaito
Idan ka canza Mach zuwa m/s don aikin aji, 340 m/s ya isa. Don rami, yi amfani da ainihin ƙima daga zafin da aka auna. Kuskuren digiri 1 a zafi yana ba da kuskuren 0.6 m/s a gudun sauti, wato kashi 0.17 cikin ɗari.
Lambobin da ya kamata a haddace
Mach 0.1 shi ne 34 m/s. Mach 0.5 shi ne 170 m/s. Mach 1 shi ne 340 m/s. Mach 2 shi ne 681 m/s. Mach 3 shi ne 1,021 m/s. Mach 5 shi ne 1,701 m/s. Mach 10 shi ne 3,403 m/s. Don canza Mach zuwa m/s da sauri, auna daga waɗannan ƙimomi.
Tsanin tunani
Mach 0.3 shi ne 102.1 m/s. Mach 0.75 shi ne 255.2 m/s. Mach 0.9 shi ne 306.3 m/s. Mach 1.2 shi ne 408.4 m/s. Mach 1.5 shi ne 510.4 m/s. Mach 2.5 shi ne 850.7 m/s. Mach 6 shi ne 2,042 m/s. Mach 20 shi ne 6,806 m/s. Tsani irin wannan yana saurin kowane duba canza Mach zuwa m/s.
Dubawa ta juyawa
Don duba sakamakon lissafin “canza Mach zuwa m/s”, raba amsar da 340.294. Idan Mach 2 ya zama 680.6 m/s, to 680.6 da aka raba da 340.294 yana dawo da 2. Gwaji na biyu shi ne girma: lambar m/s ya kamata ta fi lambar Mach fiye da sau ɗari uku.
Alaƙa da km/h da mph
Mach 1 shi ne 340.3 m/s, 1,225 km/h da 761.2 mph. Ta km/h za ka iya ninka da 1,225.06 ka raba da 3.6. Canza Mach zuwa m/s ta kowace hanya yana ba da sakamako iri ɗaya da ninka kai tsaye da 340.294.
Misali mai aiki
Don canza Mach zuwa m/s daidai a tsayi: jirgin fasinja yana tafiya a Mach 0.85 a kilomita 11. Zafin −56.5 °C ne, don haka sauti yana tafiya a 295.1 m/s kuma jirgin a 250.8 m/s, wato 903 km/h. A cikin mintuna goma jirgin yana rufe 150.5 km. Lambar matakin teku ta 340.294 m/s za ta ba da 289.2 m/s, kuskure na kashi 15 cikin ɗari.
Kusurwoyin mazubin girgiza
Jikin supersonic yana jan mazubin raƙuman girgiza mai rabin kusurwa arcsin(1 / Mach): 41.8° a Mach 1.5, 30° a Mach 2 da 19.5° a Mach 3. A Mach 2 jiki yana motsawa mita 681 kowane daƙiƙa yayin da gaban igiyar ke ci gaba mita 340.
Sauyin Doppler
Tushen sauti da ke motsawa a gudun v zuwa mai kallo yana sauya mitar da ake gani da ma'auni 1 / (1 − v / c). Siren da ke kusantowa a 34 m/s, Mach 0.1, yana hawa a sauti da kusan kashi 11 cikin ɗari. Radar na yanayi suna amfani da ƙa'ida ɗaya don auna gudun digon ruwan sama.
Kuzarin motsi a babban gudu
A Mach 2, 681 m/s, kilogram ɗaya na abu yana da 232 kJ na kuzarin motsi, sau 44 fiye da a Mach 0.3, 102 m/s. Shi ya sa tasirin harsashi na supersonic ya fi lalatawa fiye da na mai jinkiri.
Kwararar da aka toshe
Idan gas yana gudana ta rami da ke ƙunƙuntuwa, gudunsa a maƙogwaro ba zai iya wuce gudun sauti na gida ba. Ga iska a 288 K wannan iyaka 340 m/s ne. Bayan ta, sashe mai faɗaɗa kawai zai iya saurin kwararar zuwa gudun supersonic. Wannan ita ce ƙa'idar bututun de Laval da ake amfani da shi a injunan roka da turbin tururi.
Ƙarar supersonic
Jirgin supersonic yana haifar da ƙara da ake ji a ƙasa. Ƙarfinta yana dogara ga tsayi, girman jirgi da lambar Mach. A Mach 2, 590 m/s a tsayi, mazubin girgiza yana kaiwa ƙasa kilomita da yawa a bayan wurin da aka haife shi.
Gano wuri ta amsa-amo
Amsa-amo da ke dawowa bayan lokaci t yana fitowa daga nisa 343 t / 2 a 20 °C. Ga t = 0.5 s nisan 86 m ne. Sonar, na'urorin auna zurfin teku da jemagu suna dogara ga alaƙa ɗaya, suna gyara don zafi ko gishiri.
Walƙiya da tsawa
Sauti yana ɗaukar daƙiƙa 2.94 don rufe kilomita. Ƙidaya daƙiƙoƙin tsakanin walƙiya da tsawa sannan a raba da uku yana ba da nisan a kilomita. Hanyar tana dogara kai tsaye ga lambar 340 m/s.
Ultrasound
Ultrasound na 40 kHz yana da tsawon igiya na 8.6 mm a iska da 37 mm a ruwa. Ultrasound na likita yana amfani da mitoci na miliyoyin hertz da gudun sauti a nama na kusan 1,540 m/s. Canjin yana taimakawa lissafin resolution.
Danshi
Iska mai danshi tana ɗaukar sauti da sauri kaɗan fiye da busasshiyar iska, domin tururin ruwa ya fi nitrogen da oxygen sauƙi. A 20 °C da danshi kashi 100 cikin ɗari ƙarin yana 0.5 zuwa 1 m/s. Bambancin ƙarami ne, amma ana iya aunawa a sautin daidaito.
Kwararar hypersonic
Tsarin hypersonic yana farawa a Mach 5, wato 1,701 m/s a 15 °C da 1,475 m/s a tsayi. A waɗannan gudu iskar da ke kusa da jiki tana dumama zuwa dubban digiri, kuma ƙwayoyin oxygen da nitrogen suna fara rabuwa. Ba za a iya ɗaukar gas a matsayin mai kyau ba.
Gudun ƙwayoyin halitta
Ƙwayoyin nitrogen a cikin iska suna motsawa a gudun tushen matsakaicin murabba'i na 507 m/s a 15 °C, da sauri fiye da sauti. Rabon shi ne tushen murabba'in 3 / 1.4, ko 1.46. Sauti yana tafiya ta karo tsakanin ƙwayoyi, don haka ya fi su jinkiri kaɗan.
Gudun iska da sauti
Mafi ƙarfin iska da aka taɓa aunawa a ƙasa, 113 m/s, shi ne Mach 0.33. Guguwar tornado mai tsanani a 90 m/s ita ce Mach 0.26. Ko mafi tsananin iska a Duniya yana ƙasa da kashi ɗaya cikin uku na gudun sauti.
Roka da kumbon sararin samaniya
Roka yana wuce Mach 1 kusan minti ɗaya bayan ƙaddamarwa, a kusan 340 m/s. Kapsul da ke komawa daga kewayawa yana shiga yanayi a 7,800 m/s, kusan Mach 26 dangane da gudun sauti a tsayi. Waɗannan gudu sun fi na sauti fiye da sau ashirin.
Mach a Mars da Venus
A Mars, a carbon dioxide a kusan −60 °C, sauti yana tafiya a kusan 240 m/s, don haka Mach 1 a can kusan kashi 70 cikin ɗari ne na na Duniya. A saman Venus yanayi mai zafi yana ɗaukar sauti a kusan 410 m/s.
Ruwan turbin na gas
Ƙarshen ruwan fanka na matakin farko na babban injin jirgi suna motsawa a kusan 400 m/s, wato sama da Mach 1 dangane da iskar da ke shigowa. Masu zane suna siffanta ruwan don jure raƙuman girgiza. Injiniyoyi suna faɗin gudun ƙarshe a m/s ko lambobin Mach.
Hanyoyi biyu zuwa sakamako ɗaya
Za ka iya tafiya daga Mach zuwa m/s kai tsaye da 340.294, ko a matakai biyu: lissafa gudun sauti daga zafi sannan ka ninka da lambar Mach. A 15 °C hanyoyin sun yarda. A wasu zafin jiki na biyun shi ne daidai.
Shock tube
A shock tube diaphragm yana fashewa kuma igiyar girgiza tana gudu a cikin bututun. Igiya ta Mach 3 a iska a 288 K tana motsawa a 1,021 m/s. Masu bincike suna amfani da waɗannan bututu don nazarin ƙonewa da sinadarin gas a zafi mai girma, kuma Mach na girgiza yana kafa yanayin bayan igiyar.
Sauti a gas daban-daban
A 20 °C sauti yana tafiya a 343 m/s a iska, 1,007 m/s a helium, 1,305 m/s a hydrogen, 319 m/s a argon da 268 m/s a carbon dioxide. Mach 1 saboda haka yana nufin gudu daban-daban sosai a gas daban-daban, kuma ramukan iska da ke amfani da helium ko gas masu nauyi suna amfani da wannan don kaiwa wata lambar Mach a matsakaicin gudu.
Ramukan iska na gas mai nauyi
Wasu cibiyoyi suna amfani da gas masu nauyi fiye da iska, kamar sulphur hexafluoride, don aiki a ƙananan gudu da lambar Mach iri ɗaya. Gas da sauti ke tafiya a ciki a 135 m/s yana buƙatar 270 m/s kawai don kaiwa Mach 2. Samfurin sai ya fuskanci nauyi maras tsanani, kuma rami yana buƙatar ƙarancin wuta.
Tsayi da zafin jiki
A kilomita 11 gudun sauti 295.1 m/s ne. Jet a Mach 0.85 yana motsawa a 250.8 m/s a can, ba a 289.2 m/s ba. Jet a Mach 2 yana motsawa a 590 m/s. Ƙarancin matsi ba ya shafar gudun sauti, zafin jiki kawai yake shafa.
Dabara mai amfani ga iska
Ga iska, gudun sauti a m/s kusan 331.3 + 0.606 T ne, tare da T a digiri Celsius. A 0 °C wannan yana ba da 331.3, a 15 °C 340.4, a 20 °C 343.4 da a 40 °C 355.5. Dabarar tana da kyau isa ga lissafi na yau da kullum tsakanin −40 da 40 °C.
Gajeriyar hanyar zuci
Don canza Mach zuwa m/s a zuci, ninka da 340 sannan ka ƙara kashi 0.1 cikin ɗari. Ga Mach 2: 680 tare da 0.7 yana ba da 680.7. Ga Mach 0.5: 170 tare da 0.2 yana ba da 170.2. A tsayin tafiya yi amfani da 295 maimakon 340.
Ƙarin ƙimomi don canza Mach zuwa m/s
Jerin canje-canje mafi tsayi
Idan ƙimar da kake buƙata ba ta cikin jerin farko, waɗannan ƙarin canje-canje na iya kusantar isa a karanta kai tsaye:
- 0.1 Mach = 34.0294 m/s
- 0.5 Mach = 170.147 m/s
- 3 Mach = 1,020.882 m/s
- 4 Mach = 1,361.176 m/s
- 7 Mach = 2,382.058 m/s
- 15 Mach = 5,104.41 m/s
- 20 Mach = 6,805.88 m/s
- 75 Mach = 25,522.05 m/s
- 200 Mach = 68,058.8 m/s
- 500 Mach = 170,147 m/s
- 2,000 Mach = 680,588 m/s
- 10,000 Mach = 3,402,940 m/s
Kura-kurai na yau da kullum da lissafin “canza Mach zuwa m/s”
Raba maimakon ninkawa
Daga Mach zuwa m/s lambar tana ƙaruwa. Idan Mach 2 ya zama 0.006, ka raba bisa kuskure.
Yin watsi da zafin jiki
Ƙimar 340.294 tana aiki a 15 °C. A −56.5 °C Mach ɗaya 295 m/s ne, kuma mantawa da wannan yana kai ga kuskure na kashi 15 cikin ɗari.
Gas da bai dace ba
A helium ko carbon dioxide gudun sauti ya bambanta. Dole a lissafa lambar Mach da gudun sauti na gas da ake magana.
Tambayoyi masu sauri
Menene dabarar canza Mach zuwa m/s?
Mita a daƙiƙa daidai yake da lambar Mach sau 340.294.
Nawa ne m/s na Mach 1?
340.294 m/s a iska ta 15 °C.
Nawa ne m/s na Mach 2?
680.59 m/s.
Yaya sauri sauti yake a 20 °C?
Kusan 343 m/s.
Ana loda wani abu?
A'a, ana lissafa komai a cikin burauzarka.
Shafuka masu alaƙa da taƙaitawa
Za ka iya son Canza Mach zuwa mph, Canza Mach zuwa km/h, Canza mph zuwa m/s, Canza ft/s zuwa m/s, Canza m/s zuwa ft/s, Canza km zuwa mi, Canza mi zuwa km, Canza °C zuwa °F, Canza °F zuwa °C. Don akasin haka, duba Canza m/s zuwa Mach.
A taƙaice: ninka lambar Mach da 340.294 don iska ta 15 °C ka rubuta raka'ar kusa da sakamakon. Duk abin yana zama a cikin burauzarka, ba tare da asusu ko loda ba.