Mayar da m/s zuwa Mach mita a daƙiƙa ↔ lambar Mach Kyauta A kan layi Amintacce
Ku rubuta ƙima a mita a daƙiƙa ku karanta ta a lambar Mach 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 mita a daƙiƙa
Mayar zuwa lambar Mach
Ƙimomin da aka fi amfani da su — Mayar da m/s zuwa Mach (mita a daƙiƙa ↔ lambar Mach)
| m/s | Mach |
|---|---|
| 1 | 0.00293863541526 |
| 2 | 0.00587727083052 |
| 3 | 0.00881590624578 |
| 5 | 0.0146931770763 |
| 10 | 0.0293863541526 |
| 20 | 0.0587727083052 |
| 50 | 0.146931770763 |
| 100 | 0.293863541526 |
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 dakin gwajin physics zuwa Mach: karanta gudu da gudun sauti
Ɗalibi yana auna lokacin bugun jini tsakanin makirufo biyu, mai bincike yana rubuta gudun iska a sashen gwaji, kuma mai karanta labaran sararin samaniya ya koyi cewa wani bincike yana tafiya a 17 km/s. Kowannensu yana da gudu a mita a daƙiƙa da tambaya ta halitta mai biyo baya: yaya yake idan aka kwatanta da sauti? Lambar Mach ita ce amsar. Don canza m/s zuwa Mach a iska ta 15 °C, a raba da 340.294. Don haka 100 m/s shi ne Mach 0.294, 340 m/s shi ne Mach 1 kuma 1,000 m/s shi ne Mach 2.94. Na'urar lissafin da ke sama tana rabawa yayin da kake rubutu, kuma sassan da ke ƙasa suna sanya lambobin cikin yanayin dakin gwajin makaranta, kewayawa a sararin samaniya da labarai.
A ƙasa akwai misalan da aka warware, taƙaitaccen bayani game da kowane ma'auni, kwatance, misalai da yawa daga gwaje-gwaje da yanayi, da kurakuran da ake yawan yi. Ana lissafin komai a burauza ɗinku kuma ba a aika komai zuwa sabar. A rahoton dakin gwaji, ku faɗi wane zafin jiki kuka yi amfani da shi don gudun sauti.
Yadda ake canza m/s zuwa Mach: a raba da 340.294
Lissafin
Gudun sauti a iska ta 15 °C shi ne 340.294 m/s. Lambar Mach gudu ne da aka raba da wannan lamba, don haka lissafin “canza m/s zuwa Mach” rabo ne: 50 m/s yana ba da Mach 0.147, 250 m/s yana ba da Mach 0.735 kuma 800 m/s yana ba da Mach 2.35. Haka kuma ana iya yi ta ninka da 0.0029386. Don komawa akasin haka, a ninka lambar Mach da 340.294.
Misalan da aka warware
Guguwa ta 30 m/s tana a Mach 0.088. Jirgin fasinja a 250 m/s yana a Mach 0.735 kusa da ƙasa da Mach 0.85 a 11 km. Harsashi a 900 m/s yana a Mach 2.64, kuma kapsul a 7,800 m/s a Mach 22.9 da ƙimar matakin teku.
Yaya za a amince da sakamakon
Amsar daidai ce kawai ga iska ta 15 °C. A iska mai sanyi sauti yana da jinkiri kuma gudu ɗaya yana ba da lambar Mach mafi girma: 250 m/s shi ne Mach 0.85 a −56.5 °C idan aka kwatanta da 0.735 a 15 °C.
Gwaji mai sauri na hankali
Sakamakon dole ya fi lambar m/s ƙanƙanta fiye da sau ɗari uku. Idan lissafin “canza m/s zuwa Mach” ya ba da lamba mafi girma fiye da wadda ka fara da ita, to ka ninka da 340 maimakon ka raba.
Mita a daƙiƙa
Ma'aunin aunawa
Mita a daƙiƙa shi ne ma'aunin gudu na SI. Na'urorin auna dakin gwaji, na'urorin auna iska na bincike da lambobin kwaikwayo suna ba da sakamako a m/s, tunda an rubuta lissafin physics da shi.
Inda yake bayyana
Fayilolin bayanai, rahotannin dakin gwaji, kwaikwayon lambobi da littattafan karatu na physics.
Lambar Mach
Rabo da gudun sauti
Lambar Mach tana kwatanta gudun abu da gudun sauti a kewayensa. Ba ta da ma'auni. Ƙima ta 0.3 tana nuna farkon tasirin matsawa, 1 shingen sauti da 5 farkon yanayin hypersonic.
Inda yake bayyana
Aerodynamics, ballistics, ramukan iska da binciken sararin samaniya.
Mita a daƙiƙa ko Mach?
M/s ɗaya yana daidai da Mach 0.00294, don haka lambar Mach ta fi ƙanƙanta fiye da sau ɗari uku. Gudu na 100 m/s shi ne Mach 0.294, kuma 1,000 m/s shi ne Mach 2.94. Babban bambanci shi ne Mach yana dogara da iskar gas da zafinta alhali m/s ba ya dogara.
Saboda haka canjin yana daidai ne kawai a ƙarƙashin sharuɗɗan da aka bayyana. Tarko na yau da kullum shi ne amfani da 340.294 ga iska da ba ta 15 °C ba.
Inda canjin yake bayyana
Auna gudun sauti a aji
Don canza m/s zuwa Mach a aji, gwajin gargajiya yana auna lokacin bugun jini a tazarar 1.5 m da makirufo biyu, ya samu kusan 4.4 ms, wanda yake ba da 343 m/s a 20 °C. Ɗalibai sai su yi amfani da wannan lamba don canza m/s zuwa Mach a gudun gwajinsu. Lissafin “canza m/s zuwa Mach” ga keken gwaji da ke birgima a 1.2 m/s yana ba da Mach 0.0035.
Tserewa da kewayawa
Gudun tserewa na Duniya shi ne 11,186 m/s, Mach 32.9 da ƙimar matakin teku. Gudun kewayawa kusa da saman ƙasa kusan 7,800 m/s ne, Mach 22.9. Gudun tserewa na Wata shi ne 2,380 m/s, Mach 7.0. Injiniyoyin sararin samaniya suna magana da m/s da km/s; kwatancen Mach na misali ne kawai, saboda iska kaɗan ce a tsayin kewayawa.
Gwajin kwarara
Kwararar 100 m/s ta sashen gwaji tana a Mach 0.294, a gefen inda matsawa ke da muhimmanci. A 200 m/s, Mach 0.588, tasirin a bayyane yake, kuma a 300 m/s, Mach 0.88, aljihunan supersonic na gida suna bayyana a jikin abubuwa. Lissafin “canza m/s zuwa Mach” yana gaya wa mai bincike wane lissafi zai yi amfani da shi.
Bututun resonance
Bututu da aka rufe a ƙarshe ɗaya yana resonance idan tsawonsa kashi huɗu ne na tsawon igiyar sauti. Ga cokali mai yin sauti na 440 Hz a iska ta 20 °C, tsawon igiyar shi ne 0.78 m kuma tsawon bututun 0.195 m. Auna wannan tsawo yana ba ɗalibai damar lissafin gudun sauti, 4 × L × f, su kwatanta shi da tushen Mach.
Kapsul masu komawa
Kapsul mai dawowa yana haɗuwa da yanayi a kusan 7,800 m/s. Inda dumama ta fi ƙarfi, sauti yana tafiya a kusan 300 m/s, don haka kapsul yana a Mach 26 a wurin. Ƙimar ƙasa za ta nuna Mach 22.9 kawai, bayyanannen alamar yadda amsar take dogara sosai da zafin iska.
Gajeriyar hanyar zuci
Don canza m/s zuwa Mach a kanka, raba da 340 sannan ka cire kashi 0.1 cikin ɗari. Ga 680 m/s: 2.0 ba 0.002 ya zama 1.998. Ga 250 m/s: 0.735. A tsayi, raba da 295 maimakon haka.
Dabarun spreadsheet
Don canza m/s zuwa Mach a spreadsheet, sa gudu a m/s a ginshiƙi A ka shigar da =A2/340.294 a ginshiƙi B. Ga wani zafin jiki T a °C yi amfani da =A2/(20.0468*SQRT(273.15+T)). Za ka ga yadda lambar Mach take canzawa da zafin jiki.
Zagayawa da daidaito
Idan ka auna 250 m/s a cikin kashi 1 cikin ɗari, bai kamata a faɗi sakamakon Mach 0.7347 da lambobi huɗu bayan alama ba. Rubuta 0.73. Riƙe cikakkun lambobi a matakan tsaka-tsaki, musamman inda aka auna zafin iska dabam.
Alamomin da za a haddace
34 m/s shi ne Mach 0.1. 102 m/s shi ne Mach 0.3. 170 m/s shi ne Mach 0.5. 340 m/s shi ne Mach 1. 680 m/s shi ne Mach 2. 1,000 m/s shi ne Mach 2.94. 1,700 m/s shi ne Mach 5. Da waɗannan ƙimomi za ka iya canza m/s zuwa Mach a ido.
Teburin neman sauri
10 m/s yana daidai da Mach 0.029, 30 m/s Mach 0.088, 60 m/s Mach 0.176, 150 m/s Mach 0.441, 330 m/s Mach 0.970, 500 m/s Mach 1.469, 1,500 m/s Mach 4.408 da 3,000 m/s Mach 8.816. Gajeren tebur yana sa duba kowane lissafin “canza m/s zuwa Mach” ya zama nan take.
Dubawa ta juyawa
Don duba sakamakon lissafin “canza m/s zuwa Mach”, a ninka amsar da 340.294. Idan 250 m/s ya zama Mach 0.735, to 0.735 sau 340.294 yana kai kusan 250. Gwaji na biyu shi ne girma: Mach 1 ya kamata ya sauka kusa da sama da 340 m/s.
Alaƙa da km/h da mph
M/s ɗaya shi ne 3.6 km/h da 2.237 mph. Mach 1 shi ne 340.3 m/s, 1,225 km/h da 761.2 mph. Wucewa ta km/h yana nufin ninka da 3.6 sannan a raba da 1,225.06, wanda yake ba da sakamako ɗaya da rarraba kai tsaye da 340.294.
Misali da aka warware
Don canza m/s zuwa Mach daidai: na'urar auna a rami tana rubuta kwararar 272 m/s a 20 °C. A wannan zafin sauti yana tafiya a 343.2 m/s, don haka lambar Mach ita ce 0.79. Da ƙimar 15 °C za ka samu 0.80. Bambancin kashi 1 cikin ɗari na iya zama mai muhimmanci a gwaji a kan iyakar transonic.
Mazubin girgiza daga hoto
Abu a 510 m/s yana a Mach 1.5, kuma mazubin girgizarsa yana da rabin kusurwa arcsin(1 / 1.5), wato 41.8°. A 680 m/s, Mach 2, kusurwar ita ce 30°. Ta auna kusurwar a hoto za ka iya gano lambar Mach ba tare da wata na'ura ba.
Auna lokacin amo
Tafin hannu da ya dawo daga bango bayan 0.4 s yana nufin bangon yana nisan 68.6 m a 20 °C, tun da sauti yana ratsa 343.2 m/s kuma yana tafiya can da dawowa. Idan zafin jiki 5 °C ne maimakon haka, gudun shi ne 334.3 m/s, kuma jinkirin ɗaya yana nufin 66.9 m. Sakamako mai kyau yana buƙatar zafin iska.
Daukar hoton Schlieren
Hotunan Schlieren suna sa igiyoyin girgiza da ke kewaye da harsashi su bayyana. Kusurwar mazubi tana ba da lambar Mach ta sin(kusurwa) = 1 / Mach. Ernst Mach ya yi amfani da irin wannan hanya a 1887 don ɗaukar hoton igiyoyin girgizar harsashi da ke tafiya da sauri fiye da sauti.
Dumama ta iska
A Mach 1 hawan zafin tsayawa kusan 58 K ne, a Mach 2 kusan 230 K kuma a Mach 3 kusan 518 K. Jiki da ke tafiya a 680 m/s ta iska ta 15 °C yana da saman da ke kai fiye da 240 °C. Dole a zaɓi kayan da za su tsira daga waɗannan zafi.
Kuzari a kowane kilogiram
A 340 m/s kilogiram ɗaya na abu yana da 57.8 kJ na kuzarin motsi; a 680 m/s yana da 231 kJ, sau huɗu. Kuzarin bugun harsashi na supersonic yana girma da murabba'in gudu, don haka Mach 2 ya fi Mach 1 haɗari sosai.
Auna nisa da amo
Amo da ya dawo bayan 0.5 s ya fito daga 85 m. Sonar da na'urorin auna nisa na sauti suna amfani da wannan. Saboda sauti yana tafiya a 340 m/s, kuskuren 1 °C a zafin iska yana ba da kuskuren kashi 0.17 cikin ɗari a tazarar.
Ultrasound
Transducer na 40 kHz yana samar da igiyoyi masu tsawon 8.6 mm a iska. Idan tushen yana tafiya a 3.4 m/s, Mach 0.01, tasirin Doppler yana canza mita da kashi 1 cikin ɗari. Na'urorin auna gudun ultrasonic suna dogara da wannan rabo.
Gwajin mota da jirgin sama
Ana gwada motocin tsere a ramuka a 40 zuwa 70 m/s, Mach 0.12 zuwa 0.21, inda za a iya watsi da matsawa. Ana gwada jiragen fasinja a Mach 0.7 zuwa 0.9, 238 zuwa 306 m/s, inda matsawa ke da muhimmanci sosai.
Iska mai siriri sosai
A tsayin kilomita 80 iska tana da siriri sosai har ma'anar gudun sauti ta yau da kullum ta rasa ma'ana. Ga jiki da ke tafiya a 7,000 m/s lambar Mach ta zama ƙima ta yau da kullum kawai, kuma masana physics suna amfani da lambar Knudsen da sauran sigogi maimakon haka.
Masu gudu da dabbobi
Ƙwararren ɗan gudu a 12.4 m/s yana a Mach 0.036, damisa a 29 m/s a Mach 0.085 kuma shaho a faɗowa a 108 m/s a Mach 0.32. Babu halitta mai rai da ke kusantar Mach 1, sai dai ƙarshen bulala.
Karan bulala
Karan bulala ƙaramar fashewar sauti ce. Yayin da zoben bulala yake tafiya zuwa ƙarshe yana ƙara gudu fiye da 340 m/s. Yana ɗaya daga cikin ƙalilan na abubuwan yau da kullum da suka wuce Mach 1.
Binciken tsarin rana
Binciken Voyager 1 yana tafiya a kusan 17,000 m/s, wato Mach 50 da ƙimar ƙasa, kuma Parker Solar Probe ya kai kusan 192,000 m/s, Mach 565. Babu iska a sararin samaniya, don haka waɗannan lambobin Mach na kwatance ne kawai, amma suna ba da bayyanannen ji na girma.
Jinkirin bindigar farawa
A gudun ƙwazo, sautin bindigar farawa yana ɗaukar daƙiƙa 0.29 kafin ya kai mai gudu da ke nisan mita 100. Don haka masu auna lokaci a layin ƙarshe suna fara agogonsu a walƙiyar ba a fashewar ba. Daƙiƙa 0.29 kusan sau uku ne na iyakar lokacin martani da aka yarda a farawa ta halal, wato 0.1 s.
Hanyoyi biyu zuwa amsa ɗaya
Za ka iya tafiya daga m/s zuwa Mach kai tsaye, kana rabawa da 340.294, ko a matakai biyu: ka lissafa gudun sauti daga zafin jiki ka raba da shi. A 15 °C hanyoyin sun yi daidai. A wasu zafi hanya ta biyu ita ce madaidaiciya.
Bayanan yanayi
Na'urar auna iska ta bincike tana rubuta iska a m/s. Mafi ƙarfin gust da aka taɓa aunawa, 113 m/s, shi ne Mach 0.33. Guguwar hurricane ta 70 m/s Mach 0.21 ce kuma jet stream na 60 m/s Mach 0.18. Ko da mafi tsananin iska ba ta kusanci shingen sauti ba.
Ramukan iska
Ramin subsonic yana aiki ƙasa da 270 m/s, Mach 0.8. Ramin transonic yana rufe 270 zuwa 410 m/s, Mach 0.8 zuwa 1.2, na supersonic 410 zuwa 1,700 m/s, Mach 1.2 zuwa 5, kuma na hypersonic daga 1,700 m/s. Ana yi wa rahotannin gwaji alama da lambar Mach, ba da m/s ba.
Jirgin sama a tsayi
Jirgin fasinja da ke tashi a 250 m/s a 11 km, inda sauti yake tafiya a 295 m/s, yana a Mach 0.85. Da amfani da lambar ƙasa, 340 m/s, za ka samu 0.735. Matuƙa jirgi suna aiki da Mach a tsayi saboda an kafa iyakokin aerodynamic a Mach.
Wasu iskar gas
A helium sauti yana tafiya a 1,007 m/s, don haka jiki a 340 m/s yana a Mach 0.34. A carbon dioxide sauti yana tafiya a 268 m/s, kuma jikin ɗaya yana a Mach 1.27. Dole a lissafa lambar Mach koyaushe da gudun sauti na iskar gas da ake magana a kai.
Mars da Venus
A Mars sauti yana tafiya a kusan 240 m/s, don haka abin hawa a 100 m/s yana a Mach 0.42 a can, idan aka kwatanta da 0.29 a Duniya. A Venus, inda sauti yake tafiya a kusan 410 m/s, abin hawa ɗaya yana a Mach 0.24. Ana ƙera na'urorin bincike da ƙimomin gida.
Meteor
Meteoroid yana shiga yanayi a 11 zuwa 72 km/s. A 20 km/s, 20,000 m/s, yana a Mach 59 da ƙimar matakin teku. A iska mafi sanyi da siriri inda yake ƙonewa lambar Mach ta gaske ta fi haka, amma tasirin iri ɗaya ne: igiyar girgiza mai ƙarfi da dumama mai tsanani.
Ƙarin ƙimomi don canza m/s zuwa Mach
Jerin canje-canje mai tsawo
Idan ƙimar da kake buƙata ba ta cikin jerin farko ba, waɗannan ƙarin canje-canjen na iya zama kusa isa don karantawa kai tsaye:
- 0.1 m/s = 0.000293864 Mach
- 0.5 m/s = 0.00146932 Mach
- 3 m/s = 0.00881591 Mach
- 4 m/s = 0.0117545 Mach
- 7 m/s = 0.0205704 Mach
- 15 m/s = 0.0440795 Mach
- 20 m/s = 0.0587727 Mach
- 75 m/s = 0.220398 Mach
- 200 m/s = 0.587727 Mach
- 500 m/s = 1.46932 Mach
- 2,000 m/s = 5.87727 Mach
- 10,000 m/s = 29.3864 Mach
Kurakuran da za a guje wa a lissafin “canza m/s zuwa Mach”
Aikin da bai dace ba
Daga m/s zuwa Mach ana rabawa. Idan 250 m/s ya fito 85,000, to ka ninka da 340.
An manta zafin jiki
340.294 na iska ta 15 °C ne. A −56.5 °C, 250 m/s shi ne Mach 0.85 ba 0.735 ba, wanda bambancinsu kashi 15 cikin ɗari ne.
Wata iskar gas
Helium ko carbon dioxide suna ɗaukar sauti a wasu gudun. Yi amfani da gudun sauti na iskar gas da kake da ita da gaske.
Tambayoyi a taƙaice
Menene ƙa'idar lissafin “canza m/s zuwa Mach”?
A raba lambar m/s da 340.294.
Wace lambar Mach ce 100 m/s?
Mach 0.294.
Wace lambar Mach ce 680 m/s?
Mach 2.00.
Menene Mach 1 a m/s?
340.294 m/s a 15 °C.
Shin shafin yana ɗora abin da na rubuta?
A'a, duka ana lissafa shi a burauzarka.
Ƙarin masu canzawa da taƙaitaccen bayani
Sauran shafukan gudu: Canza m/s zuwa km/h, Canza m/s zuwa mph, Canza mph zuwa Mach, Canza km/h zuwa Mach, Canza Mach zuwa mph, Canza km zuwa mi, Canza mi zuwa km, Canza °C zuwa °F, Canza °F zuwa °C. Akasin wannan shafi shi ne Canza Mach zuwa m/s.
A taƙaice, don mayar da m/s zuwa Mach a raba da 340.294 ga iska ta 15 °C a riƙe ma'aunin kusa da lambar. Babu abin da ka shigar da ke barin na'urarka, kuma ba a buƙatar asusu.