Yadda Ake Auna Ƙarfin Gogewa
Fogewa yana ɗaya daga cikin manyan abubuwan da muke fuskanta a rayuwar yau da kullun, tun daga takalman da ke riƙe saman hanya, tayoyin abin hawa suna hana zamewa, zuwa tsarin goge alamun fensir da magogi. Ko da yake da alama suna da sauƙi, gogayya tana taka muhimmiyar rawa a kimiyya da injiniyanci saboda tana shafar ingancin motsi, aminci, da aikin kayan aiki daban-daban. Saboda haka, fahimtar yadda ake auna gogayya wata babbar ƙwarewa ce a fannin kimiyyar lissafi, musamman a fannin motsi.
1. Fahimci Asalin Ma'anar Ƙarfin Gogewa
Gabaɗaya, gogayya ita ce ƙarfin da ke faruwa lokacin da saman biyu suka haɗu suka motsa (ko kuma suka yi ta motsawa) dangane da juna. Alkiblar ƙarfin gogayya koyaushe tana akasin alkiblar motsi ko yanayin abin na motsawa.
Akwai manyan nau'ikan ƙarfin gogayya guda biyu:
1. Ƙarfin gogayya mai tsauri (fs): yana faruwa ne lokacin da abu bai motsa ba tukuna, amma wani ƙarfi yana ƙoƙarin motsa shi. Girmansa yana daidaitawa har sai ya kai matsakaicin ƙima.
2. Ƙarfin gogayya na kinetic (fk): yana faruwa ne lokacin da abu ya riga ya fara motsi. Darajarsa ta fi ta tsaye fiye da gogayya mai motsi.
Dabara ta yau da kullun da ake amfani da ita:
- Matsakaicin ƙarfin gogayya mai tsauri:
\[
f_{s \,max} = \mu_s \, N
\]
- Ƙarfin gogayya na kinetic:
\[
f_k = \mu_k \, N
\]
Bayani:
– \( \mu_s \) = ma'aunin gogayya mai motsi
– \( \mu_k \) = ma'aunin gogayya ta motsi
– \( N \) = ƙarfin da ya dace (ƙarfin matsin lamba a saman abu)
Auna ƙarfin gogayya yana nufin cewa muna tantance ƙimar ƙarfin da ke aiki ta hanyar gwaji, yawanci ta amfani da kayan aikin auna ƙarfi ko kuma ta hanyar nazarin motsi.
2. Kayan aiki da Kayayyaki don auna ƙarfin gogayya
Ga gwaje-gwaje masu sauƙi a makaranta ko a gida, kayan aikin da ake buƙata suna da sauƙin samu:
– Dynamometer (ma'aunin bazara): kayan aiki don auna ƙarfi a cikin Newtons (N)
– Abubuwan da za a gwada: misali tubalan katako, magogi, ƙananan akwatuna
- Sassan gwaji: tebura na katako, gilashi, benaye na yumbu, takarda mai yashi, takarda
– Igiya ko ƙugiya: don jawo abubuwa
– Girman taro (zaɓi ne): don gano nauyin abu
- Protractor da inclined plane (idan ana amfani da hanyar inclined plane)
Da wannan kayan aiki mai sauƙi, za mu iya auna matsakaicin ƙarfin gogayya mai tsayawa da kuma ƙarfin gogayya mai motsi.
3. Hanya ta 1: Auna Ƙarfin Gogayya da Na'urar auna Dynamometer (Hanyar Ja a Kwance)
Hanya mafi dacewa ita ce a jawo abin a saman wani wuri mai faɗi ta amfani da na'urar auna ƙarfin lantarki (dynamometer).
A. Auna Matsakaicin Ƙarfin Tsattsauran Ragewa Mai Tsayi
Matakai:
1. Sanya wani abu (misali tubalin itace) a kan wani wuri mai faɗi.
2. A haɗa igiyar a kusa da abin sannan a haɗa ta da na'urar auna ƙarfin lantarki.
3. Ja a hankali sannan ka ƙara ƙarfin jan hankali a hankali.
4. Kula da lambobin da ke kan na'urar auna ƙarfin aiki. Muddin abin ba ya motsi, ƙarfin gogayya mai motsi zai daidaita ya zama daidai da girman abin. ƙarfin juriya.
5. Rubuta ƙimar ƙarfin lokacin da abin ya fara motsi. Wannan ƙimar ita ce matsakaicin ƙarfin gogayya mai tsauri (\( f_{s \,max} \)).
Muhimmin bayani: janyewa da sauri zai iya sa karatun ya yi girma kuma ya zama ba daidai ba. Ya kamata janyewar ta kasance a tsaye.
B. Auna Ƙarfin Juyawar Motsa Jiki
Matakai:
1. Da zarar abin yana motsi, a ci gaba da jan shi don abin ya motsa a daidai lokacin da yake tafiya.
2. Idan gudun bai yi tsayi ba, to ƙarfin da ya biyo baya ya kusanto sifili, ma'ana ƙarfin juriya daidai yake da ƙarfin gogayya ta motsi.
3. Lura da lambar da aka karanta a hankali a kan injin aunawa yayin motsi mai ci gaba. Wato \( f_k \).
Yawanci, \(f_k \) ya fi ƙanƙanta fiye da \( f_{s \,max} \). Shi ya sa yake da wahala ga abubuwa su "fara motsi" fiye da "kiyaye motsi".
4. Lissafin Ma'aunin Daidaito daga Ma'auni
Idan an san ƙarfin al'ada \(N \), za mu iya ƙididdige ma'aunin gogayya.
A kan wani wuri mai faɗi:
\[
N = mg
\]
tare da:
– \( m \) = nauyin abu (kg)
– \( g \) = hanzari saboda nauyi (≈ 9,8 m/s² ko 10 m/s² don kimantawa)
Idan mun sami \( f_{s \,max} \), to:
\[
\mu_s = \frac{f_{s \,max}}{N}
\]
Idan an sami \( f_k \) to:
\[
\mu_k = \frac{f_k}{N}
\]
Misali kaɗan
Misali, ana jawo tubalin da nauyinsa ya kai kilogiram 2 a kan teburi.
Ƙarfin da ake amfani da shi wajen fara motsi yana karanta N6, kuma lokacin da ake motsawa akai-akai yana karanta N4.
Don haka:
– \( N = mg = 2 \sau 10 = 20 \) N
– \( \mu_s = 6/20 = 0,3 \)
– \( \mu_k = 4/20 = 0,2 \)
Wannan sakamakon yana da ma'ana saboda yawan gogayya tsakanin motsi yawanci ƙanƙanta ne.
5. Hanya ta 2: Auna Ƙarfin Gogayya da Jirgin Sama Mai Karya
Ana amfani da hanyar da aka yi amfani da ita wajen auna ƙarfin lantarki idan babu wani injin auna ƙarfin lantarki ko kuma a matsayin wata hanyar da za a iya amfani da ita wajen auna ƙarfin lantarki.
Ka'idar
Muna ƙara kusurwar karkatar allon har sai abin ya fara zamewa. A wannan lokacin, ɓangaren ƙarfin nauyi wanda ke daidai da jirgin sama yana daidai da matsakaicin ƙarfin gogayya mara motsi.
Idan kusurwar mahimmanci ita ce \( \theta \), to:
\[
\mu_s = \tan(\theta)
\]
Wannan ya shafi yanayin da abin ya fara motsawa a kan jirgin sama mai karkata ba tare da wani ƙarin ƙarfi ba.
Matakai:
1. Sanya abin a kan allo.
2. Ɗaga allon a hankali don kusurwar ta ƙaru kaɗan-kaɗan.
3. Ka lura da kusurwar da abin ya fara motsawa.
4. Auna kusurwar ta amfani da na'urar auna kusurwa ko kuma ma'aunin kusurwa.
5. Yi lissafin \ ( \ mu_s \) ta amfani da \ ( \tan (\theta) \).
Don gogayya ta motsi, za ka iya saita wani takamaiman kusurwa kuma ka auna hanzarin abu yayin da yake zamewa, sannan ka yi nazarin ƙarfin da ke aiki. Duk da haka, wannan hanyar ta ɗan fi rikitarwa kuma yawanci tana buƙatar auna lokaci/tazara.
6. Abubuwan da ke Shafar Sakamakon Aunawa
Auna ƙarfin gogayya ba koyaushe yake samar da daidai wannan ƙimar ba, saboda yana da tasiri ta hanyar dalilai da yawa, gami da:
– Tsananin saman: saman da ke da tauri yawanci yana ƙara gogayya.
– Tsaftace saman: ƙura, mai, ko ruwa na iya canza ƙimar gogayya.
– Yankin hulɗa: a cikin samfuran kimiyyar lissafi masu kyau, yankin hulɗa ba ya shafar gogayya kai tsaye, amma a cikin kayan gaske ana iya shafar shi saboda nakasa.
– Saurin motsi: a wasu kayan aiki, gogayya na iya canzawa tare da canje-canje a cikin gudu.
– Zafin jiki da danshi: musamman ga roba ko kayan da ke canza halaye cikin sauƙi.
– Yadda ake ja: idan ja ba ya yi daidai da saman (an ɗaga shi kaɗan), ƙarfin da aka saba yana canzawa ta yadda gogayya ma ke canzawa.
Saboda haka, don samun sakamako mafi daidaito, yi gwajin sau da yawa kuma ɗauki matsakaicin.
7. Nasihu don Ƙarin Ma'auni Masu Daidai
Wasu shawarwari masu amfani:
1. Ja abin a hankali yayin auna matsakaicin gogayya mara motsi.
2. Tabbatar cewa jan yana daidai da saman don kada \(N \) ya canza.
3. A maimaita aunawa aƙalla sau 3.
4. Lura da yanayin saman (bushewa, ƙura, santsi) don a iya kwatanta bayanan.
5. Yi amfani da abin da yake da ƙarfi kuma ba ya karkata cikin sauƙi don a karanta ƙarfin daidai.
Penutup
Ana iya auna gogayya ta hanyar kimiyya mai sauƙi. Hanya mafi yawan gaske ita ce amfani da na'urar auna ƙarfi lokacin da abu ya fara motsi (matsakaicin gogayya mai motsi) da kuma lokacin da yake motsi a saurin da ba ya canzawa (gogayya mai motsi). Wata hanyar kuma ita ce hanyar da ke da karkata, wadda ke amfani da kusurwa mai mahimmanci don tantance ma'aunin gogayya mai motsi. Daga ma'aunin, za mu iya ƙididdige ma'aunin gogayya da kuma fahimtar yadda yanayin saman ke shafar girman gogayya.
Ta hanyar fahimtar yadda ake auna gogayya, ba wai kawai muna koyon ra'ayin kimiyyar lissafi ba, har ma muna fahimtar wani muhimmin abu wanda ke ƙayyade aminci, inganci, da jin daɗi a cikin ayyukan yau da kullun da kuma a fannin injiniya. Idan kuna so, zan iya ƙara teburin bayanan gwaji, tsarin rahoton dakin gwaje-gwaje, ko tambayoyin aiki da suka shafi gogayya.
