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Ilimin kimiyyar lissafi

Kalkuleta na Sauyin Gudu

Lissafa matsakaicin hanzari, ƙaura da aka sanya hannu da nisan tafiya, gami da juyawar hanya madaidaiciya.

Ƙara zuwa wurin aiki

Ƙimomin shigarwa

Yana ɗaukar hanzari akai-akai. Sakamakon yana sabuntawa yayin da kake rubutu. Duk lissafin yana gudana a cikin gida a cikin burauzarka.

Hanzari

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Komawa: —Saurin canji: —Nisan tafiya: —

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Ƙa’ida

Matsakaicin hanzari a = (v₁ − v₀) ÷ t. Tare da saurin gudu akai-akai, canjin da aka sanya hannu shine s = ((v₀ + v₁) ÷ 2) × t. Idan saurin juyawa alama ce, nisan tafiya shine jimlar nisan kafin da bayan lokacin sifili, ba cikakken motsi ba. Hanzarta mara kyau yana nufin saurin da aka sanya hannu yana raguwa; gudun zai iya ƙaruwa ko raguwa ya danganta da alkibla. Shigar da gudu a cikin m/s da lokaci a cikin daƙiƙa don hanzari a cikin m/s² da ƙaura ko nisa a cikin mita.

Misalin aiki

Daga hutawa (0 m/s) zuwa 30 m/s a cikin daƙiƙa 5: a = (30 − 0) ÷ 5 = 6.00 m/s². Sauyin saurin shine 30 m/s, kuma nisan da aka rufe shine ((0 + 30) ÷ 2) × 5 = 15 × 5 = 75 m. Ga sikelin, 6 m/s² mota ce mai sauri — kusan 0 zuwa 100 km/h a cikin daƙiƙa 4.6 a wannan ƙimar (100 km/h shine 27.78 m/s, kuma 27.78 ÷ 6 = 4.63 s).

Amfani da iyakoki

Wannan shafin yana ƙididdige matsakaicin hanzari a tsawon tazara, idan aka yi la'akari da cewa yana da daidaito. Hawan gaggawa na gaske yawanci yakan bambanta (jawowar injin yana raguwa yayin da gudu ke ƙaruwa), a wannan yanayin wannan sakamakon shine matsakaici, ba kololuwa ba. Yana da girma ɗaya kuma yana goyan bayan juyawa tare da wannan axis. Hanyoyi masu lanƙwasa, motsi na zagaye da abubuwan vector masu axis da yawa ba a rufe su ba. Lokaci dole ne ya kasance sama da sifili - canji nan take (t = 0) zai nuna hanzarin da ba shi da iyaka, wanda shafin ya ƙi maimakon nunawa.

Sigar tsari: c12135384eb7 · An duba misali:

FAQ

Menene bambanci tsakanin saurin gudu da saurin gudu?

Sauri shine yadda wani abu ke tafiya da sauri; hanzari shine yadda saurin hakan ke canzawa. Mota tana tafiya a kan hanya mai kyau 30 m/s tana da saurin gudu da kuma saurin gudu babu; motar da ke tashi daga 0 zuwa 30 m/s tana da saurin gudu mai kyau a ko'ina.

Me ake nufi da saurin gaggawa mara kyau?

Hanzarta mara kyau tana nuna maki a kan axis mara kyau. Yana rage gudu lokacin da gudu ya kasance mai kyau, amma yana ƙara gudu lokacin da gudu ya kasance mara kyau. Idan gudu ya ketare sifili, abu yana raguwa, yana juya alkibla, sannan yana ƙara gudu.

Me yasa na'urar m/s² take?

Domin hanzari shine canjin gudu a kowane lokaci na raka'a: (m/s) ÷ s = m/s². Yana karantawa kamar "mita a kowace daƙiƙa, a kowace daƙiƙa" - kowace daƙiƙa, gudu yana ƙaruwa da wannan adadin m/s.

Ta yaya wannan yake da alaƙa da ƙarfi?

Dokar Newton ta biyu: ƙarfi = taro × hanzari. Motar 1,000 kg mai saurin gudu a 6 m/s² tana buƙatar 6,000 N na ƙarfin da aka tara. Wannan shafin ba ya buƙatar taro, don haka ba zai iya bayar da rahoton ƙarfi ba.

Zan iya amfani da km/h maimakon m/s?

Sai dai idan ka fara canzawa: raba km/h da 3.6 don samun m/s, kuma ka canza lokaci zuwa daƙiƙa. Haɗa km/h da daƙiƙa yana ba da lamba wadda ba m/s² ba ce. Canjin mai lissafin gudu zai iya taimakawa.

Shin 9.8 m/s² na musamman ne?

Eh — g ne, nauyin saman duniya. Wani abu a cikin faɗuwar iska kyauta (yin watsi da juriyar iska) yana hanzarta ƙasa da kusan 9.81 m/s². Shigar da v₀ = 0, v₁ = 9.81, t = 1 don ganin sa.

Kayan aiki masu alaƙa

Sakamako kimantawa ne kawai kuma ba ya nufin shawarar ƙwararru.