Cách tính Vận tốc trung bình cực hay | Aviationaustralia.asia

A. Hanyar Magani

Dalibai suna buƙatar sanin dabarun ƙididdige nisa, gudu, da lokaci

1. Formules don tunawa

– Lokacin tafiya = nisa: gudun = lokacin isowa – lokacin tashi – lokacin hutu (idan akwai).

– Lokacin tashi = lokacin isowa – lokacin tashi – lokacin hutu (idan akwai).

– Lokacin isowa = lokacin tashi + lokacin tashi + lokacin hutu (idan akwai).

– Gudu = nisa: lokaci (v = s: t)

Nisa = gudun × lokaci (s = vt)

talla

2. Matsakaicin saurin gudu

– Matsakaicin matsakaicin gudu ne kawai na al’ada, mun saita shi da kanmu don sauƙaƙe nazarin motsi. Tsawon tsayin nisa, abu na iya zama ba koyaushe yana motsawa cikin saurin da ya kai matsakaicin matsakaicin gudu ba.

Yadda ake lissafin Matsakaicin Gudu

Idan wani abu yana motsi a ƙimar da ba ta dace ba (madaidaicin gudu), matsakaicin gudun yana ƙayyadadden ƙimar jimlar tazarar da aka yi tafiya zuwa jimillar lokaci.

ZANAmatsakaici = Jimlar nisa: jimlar lokaci

3. Hanyar Magani

Form 1:

– Yana yiwuwa a lissafta duka S da t.

-Yadda ake yi: lissafin S da t ⇒ v = S/t.

Form 2:

– Nuna saurin kowane bangare na nisa.

– Hanyar: Bari S ya zama tsawon dukan nisa.

+ Yi lissafin jimlar lokaci gwargwadon matsakaicin saurin gudu da S

+ Yi ƙididdige jimlar lokacin gwargwadon saurin abubuwan da kuma S.

– Lokaci a cikin hanyoyi guda biyu daidai yake, don haka muna da dangantaka tsakanin matsakaicin matsakaici da saurin abubuwan.

talla

Form 3:

– Nuna saurin gudu a kowane tazara.

– Hanyar: Bari t zama jimlar lokacin tafiya gaba ɗaya.

+ Yi lissafin jimlar tazarar ta matsakaicin gudu da t.

+ Yi ƙididdige jimlar tazara bisa ga saurin ɓangaren kuma t.

– Nisa a cikin hanyoyi guda biyu daidai suke, don haka muna da dangantaka tsakanin matsakaicin matsakaici da saurin abubuwan.

B. Misalin misali

Misali 1: Mutum yana zuwa gidansa daga aiki, nisan daga aiki zuwa gida shine 12km. Da farko dai mutumin yana tafiya ne da gudun kilomita 30 a cikin sa’a guda. Bayan haka, saboda titin yana da wahalar tafiya, saurin motar yana canjawa akai-akai, wani lokacin 24km/h, wani lokacin kuma 25km/h.. Idan ya isa gida, gudunsa ya ragu zuwa 10km/h kawai. Don haka jimlar lokacin da mutumin ya tafi shine minti 45. Matsakaicin gudun motar akan nisa shine:

A. 24km/h B. 20.5km/h

C. 16km/h D. 15km/h

Amsa:

AMSA C

– Canji: Minti 45 = 0.75 hours

– Matsakaicin saurinsa na nesa shine:

Yadda ake lissafin Matsakaicin Gudu

talla

Misali 2: Mota tana motsawa daga A zuwa B sannan ta tashi daga B zuwa A. Da farko idan ta tashi daga A zuwa B, saurin motar yana v1 = 40km / h, idan ta tashi daga B zuwa A saurin motar shine v2 = 60km/h. Matsakaicin saurin motar akan gabaɗayan hanya shine:

A. 48km/h B. 49km/h

C. 50km/h D. 51km/h

Amsa:

Amsa A

– Bari S ya zama tsawon tazarar AB ⇒ Jimlar tazarar da motar ta yi shine 2.S

– Bari v zama matsakaicin gudun mota a kan dukan nesa AB, t shine jimlar lokacin da motar ta yi tafiya a cikin dukan tsari.

Lokacin tafiya daga A zuwa B shine: Yadda ake lissafin Matsakaicin Gudu

– A daya bangaren kuma, bisa ga labarin, muna da:

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Yadda ake lissafin Matsakaicin Gudu

– Daga (1) da (2) muna da:

Yadda ake lissafin Matsakaicin Gudu

Misali 3: Mota tana motsawa daga masana’antar masana’anta zuwa sito. Rabin farko na nisa yayi tafiya tare da gudun v1 = 26km/h, rabi na biyu nisan gudun motar shine v. Yi ƙididdige v da aka ba da cewa matsakaicin gudun motar a kan dukkan nisa shine 30km / h.

Amsa:

– Bari S (km) ya zama nisa daga masana’anta zuwa sito. Bari t (h) ya zama lokacin da motar zata yi tafiya daga masana’anta zuwa sito.

Lokacin tafiya daga A zuwa B shine: Yadda ake lissafin Matsakaicin Gudu

– A daya bangaren kuma, bisa ga labarin, muna da:

Yadda ake lissafin Matsakaicin Gudu

– Daga (1) da (2) muna da:

Yadda ake lissafin Matsakaicin Gudu

Rs: 35.5km/h

C. Ayyukan motsa jiki

Tambaya 1: Makarantar Sakandare ta Le Quy Don ta hau mota daga Nam Dinh zuwa wani yanki mai tsaunuka don yin aikin agaji. A cikin sa’a na farko, motar tana tafiya a cikin gudun kilomita 50 / h. A cikin sa’o’i 2 masu zuwa, motar tana tafiya a cikin gudun kilomita 40 / h. A cikin sa’o’i 3 na ƙarshe, motar tana tafiya a cikin gudun kilomita 20 / h. Matsakaicin gudun motar a kan gaba dayan titin shine:

A. 31.7km/h B. 32.3km/h

C. 31.4km/h D. 32.1km/h

Amsa A

– Jimlar lokacin da motar ta yi tafiya shine:

1 + 2 + 3 = 6 (awa)

– A cikin sa’a ta farko, motar zata iya tafiya:

1.50 = 50 (km)

– A cikin awanni 2 masu zuwa, motar zata iya tafiya:

2.40 = 80 (km)

– Sa’o’i 3 na ƙarshe mota na iya tafiya:

3.20 = 60 (km)

Jimlar tazarar da motar ta yi shine:

50 + 80 + 60 = 190 (km)

Matsakaicin gudun motar a kan gaba dayan titin shine:

190: 6 = 31.7 (km/h)

Aya ta 2: Motar bas ta tashi daga tashar motar zuwa birni. A farkon rabin lokacin, saurin motar shine vna farko = 60km/h, bayan rabin lokaci gudun motar yana v2 = 40km/h. Matsakaicin matsakaicin saurin motar don duka tafiyar shine:

A. 51.3km/h B. 50km/h

C. 49.7km/h D. 49km/h

Amsar ita ce A’A

– Bari a kasance jimlar lokacin da motar bas ta tashi daga tashar bas zuwa birni, v shine matsakaicin saurin motar, S kuma tsawon hanyar daga tashar bas zuwa birni.

– Tsawon tazarar da motar ta yi shine: S = vt (1)

– A cewar labarin, muna da:

Yadda ake lissafin Matsakaicin Gudu

– Daga (1) da (2):

Yadda ake lissafin Matsakaicin Gudu

Tambaya 3: Bari mota ta yi tafiya mai nisa cikin sa’o’i 5. Ku sani cewa sa’o’i 2 na farko motar tana tafiya da matsakaicin gudun kilomita 50 / h sannan kuma awanni 3 masu zuwa motar tana tafiya da matsakaicin matsakaicin 40km / h. Matsakaicin saurin mota yayin tafiya gaba ɗaya shine:

A. 45km/h B. 44km/h

C. 43km/h D. 42km/h

Amsar ita ce A’A

Tazarar da motar ta yi cikin sa’o’i 2 na farko shine:

2.50 = 100 (km)

Tazarar da motar ta yi cikin sa’o’i 3 masu zuwa shine:

3.40 = 120 (km)

Matsakaicin matsakaicin saurin abin hawa yayin tafiya gaba ɗaya shine:

(100 + 120): (2 + 3) = 44 (km/h)

Tambaya 4: Babur yana tafiya daga A zuwa B. Gudun motar a nesa AC shine v1 = 40km / h, a nesa CD v2 = 60km / h kuma gudun kan tazarar DB shine v3 = 30km / h. San AC = CD = DB. Matsakaicin matsakaicin saurin motar don duka tafiyar shine:

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Yadda ake lissafin Matsakaicin Gudu

A. 50km/h B. 43.3km/h

C. 40km/h D. 38.5km/h

AMSA C

– Bari S ya zama tsayin tazarar AB, bari v zama matsakaicin saurin mota akan dukkan tazarar AB.

Lokacin tafiya daga A zuwa B shine: Yadda ake lissafin Matsakaicin Gudu

– A daya bangaren kuma, bisa ga labarin, muna da:

Yadda ake lissafin Matsakaicin Gudu

– Daga (1) da (2) muna da:

Yadda ake lissafin Matsakaicin Gudu

Tambaya ta 5: Kwalekwale na tafiya daga A zuwa B. Gudun kwale-kwalen a kashi na farko na uku na nisa shine vna farko = 20km/h, 1/3 na gaba na nesa shine v2 = 25km/h kuma saurin sauran nisa shine v3. Yi lissafin v3 Matsakaicin gudun motar akan dukkan nisa shine v = 22km/h.

A. 22km/h B. 21km/h

C. 22.3km/h D. 21.6km/h

AMSA MAI SAUKI

– Bari S ya zama tsayin nisa AB, bari v zama matsakaicin saurin kwalekwalen akan dukkan nisa AB.

Lokacin tafiya daga A zuwa B shine:

– A daya bangaren kuma, bisa ga labarin, muna da: Yadda ake lissafin Matsakaicin Gudu

Yadda ake lissafin Matsakaicin Gudu

– Daga (1) da (2) muna da:

Yadda ake lissafin Matsakaicin Gudu

Tambaya 6: Jirgin kasa na arewa-kudu yana tafiya daga tashar Hanoi zuwa Ho Chi Minh City. Kafar farko na jirgin yana ɗaukar 1/3 na jimlar lokacin tare da vna farko = 45km/h. Sashin tsakiyar motar yana ɗaukar 1/2 na jimlar lokacin tare da v2 = 60km/h. Domin sauran tafiyar, motar tana tafiya da gudu v.3 = 48km/h. Kididdigar saurin motar a kan dukkan nisa?

– Bari t (h) ya zama jimlar lokacin da jirgin ya ɗauka don motsawa daga tashar Hanoi zuwa Ho Chi Minh City, v shine matsakaicin saurin jirgin a kan gaba ɗaya.

-Lokacin da mota ta dauka don karasa kafar karshe shine:

Yadda ake lissafin Matsakaicin Gudu

– Tsawon nisa daga tashar Hanoi zuwa birnin Ho Chi Minh shine:

S = vt (1)

– A cewar labarin, muna da:

Yadda ake lissafin Matsakaicin Gudu

Daga (1) da (2):

Yadda ake lissafin Matsakaicin Gudu

Amsa: 53km/h

Aya ta 7: Jirgin ruwa mai sauri yana tafiya daga berth A zuwa berth B. A cikin 2/3 na farko na lokacin gudun jirgin yana v1 = 45km / h, sauran lokutan jirgin yana motsawa da gudu v2 nawa ne matsakaicin gudu. A kan dukkan nisa AB shine v = 48km/h?

– Bari t (awa) ya kasance jimlar lokacin da jirgin yake ɗauka daga tashar A zuwa B, kuma v (km/h) shine matsakaicin saurin jirgin yayin tafiya daga A zuwa B.

– Nisa tsakanin tashoshi biyu A da B shine:

S = vt = 48t (1)

– A cewar labarin, muna da:

Yadda ake lissafin Matsakaicin Gudu

Yadda ake lissafin Matsakaicin Gudu

Amsa: 54km/h

Aya ta 8: Mai babur yana farawa daga A zuwa B. A cikin 3/4 na farko na nesa, motar tana motsawa da gudun 36km / h. Ragowar tazarar da motar ke tafiya a cikin mintuna 12 tare da saurin 24km / h. Menene matsakaicin matsakaicin saurin motar akan dukkan nisa AB?

– Canja minti 12 = 0.2 hours

Tsawon nisa mai zuwa shine:

S2 = t2. v2 = 24. 0.2 = 4.8 (km)

Tsawon nisan farko shine:

Sna farko = 3S2 = 3.4.8 = 14.4 (km)

Jimlar tsawon nisa AB shine

S = WUTAna farko + ZUWA2 = 14.4 + 4.8 = 19.2 (km)

Lokacin da aka ɗauka don kammala tazarar farko shine:

Yadda ake lissafin Matsakaicin Gudu

Jimlar lokacin da ake ɗauka don rufe nesa AB shine:

t = tna farko + t2 = 0.2 + 0.4 = 0.6 (awa)

Matsakaicin matsakaicin saurin motar don duka tafiyar shine:

Yadda ake lissafin Matsakaicin Gudu

Amsa: 32km/h

Aya ta 9: Wani yaro yana tafiya da karensa zuwa gida, lokacin yana da tazarar mita 10 daga gida, sai karen ya ruga gida da gudun mita 5, da zarar ya isa gidan, sai ya sake gudu da gudun mita 3. Yi lissafin matsakaicin gudun kare don nisan tafiya daga lokacin da ya gudu gida zuwa lokacin da ya sake saduwa da yaron, sanin cewa yaron yana tafiya a gudun 1m / s.

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Yadda ake lissafin Matsakaicin Gudu

-Lokacin da kare ya dawo gida shine:

Yadda ake lissafin Matsakaicin Gudu

– A lokacin yaron ya yi tafiya: 1.2 = 2 (m).

⇒ Tazarar yaron zuwa gidan a lokacin shine:

S2 = 10 – 2 = 8 (m)

-Lokacin da kare ya ke yi ya gudu daga gida ya sake haduwa da yaron shi ne:

Yadda ake lissafin Matsakaicin Gudu

– Karen ya dauki fim din wani bangare na:

S3 = v2 .t2 = 3.2 = 6 (m)

Jimlar lokacin t = 4s, jimlar nisa shine S = 10 + 6 = 16 (m)

– Matsakaicin gudun kare yayin aiwatar da shi duka shine:

v = .. (m/s)

Amsa: 4m/s

Tambaya ta 10: Motoci biyu suna farawa a lokaci guda daga A don komawa B. Mota ta farko tana tafiya rabin farko na nisa tare da v .na farkoragowar rabin tazarar, gudun motar v2. Mota ta biyu tana tafiya a farkon rabin lokaci a v1 da sauran rabin a v2. Wace mota ce ta fara zuwa B? Me yasa?

Bari S ya zama tsayin nisa AB. ZANAtb1VUUtb2 shine matsakaicin gudun motar akan dukkan tazarar AB. BILYANna farko; BILYAN2 shine jimlar lokacin da motar zata motsa daga A zuwa B

– Yi la’akari da motar farko:

+ Lokacin tafiya daga A zuwa B shine:

Yadda ake lissafin Matsakaicin Gudu

+ A gefe guda, bisa ga abin da aka fitar, muna da:

Yadda ake lissafin Matsakaicin Gudu

+ Daga (1) da (2) muna da:

Yadda ake lissafin Matsakaicin Gudu

Yadda ake lissafin Matsakaicin Gudu

– Yi la’akari da mota ta biyu:

Tsawon nisa AB shine:

Yadda ake lissafin Matsakaicin Gudu

A cewar labarin muna da:

Yadda ake lissafin Matsakaicin Gudu

Yadda ake lissafin Matsakaicin Gudu
Yadda ake lissafin Matsakaicin Gudu

– Suna daga

kuma (**) muna da:

Yadda ake lissafin Matsakaicin Gudu

Don haka matsakaicin saurin mutum na biyu ya fi na farko girma, don haka mutum na biyu zai gama na farko.

Duba ƙarin nau’ikan motsa jiki masu ban sha’awa na darasi na 8th Physics, tare da wasu cikakkun bayanai:

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