Ƙarfin Centripetal - matsaloli da mafita

Ƙarfin Centripetal - matsaloli da mafita

1. Ana juya ƙwallon gram 200, wanda aka haɗa a ƙarshen igiya, a cikin da'ira mai kwance tare da saurin kusurwa na 5 rad s -1 . Idan tsawon igiyar ya kai cm 60, menene ƙarfin centripetal?

Known :

Nauyin abu (m) = 200 gr = 200/1000 kg = 2/10 kg = 0.2 kg

Gudun kusurwa (ω) = 5 rad/s

Tsawon igiya = radius (r) = 60 cm = 60/100 m = 0.6 m

Ana nema: Ƙarfin tsakiya

Magani:

Ƙarfin centripetal shine ƙarfin da ke haifar da hanzarin centripetal.

Daidaiton ƙarfin centripetal:

∑F = ma s

∑F = mv 2 /r = m ω 2 r

∑ F = Ƙarfin tsakiya , m = nauyin abu , v = saurin layi , ω = saurin kusurwa , r = radius.

∑F = m ω 2 r = (0.2) (5) 2 (0.6) = (0.2) (25) (0.6) = 3 N

2. Dutse da aka makala a ƙarshen igiya kuma ɗalibi ya juya a cikin da'ira a kwance. Idan gudun ƙarshe na dutsen ya kai sau 2 sau na farko, to menene ƙarfin centripetal.

An sani:

Nauyin dutse = m

Saurin dutse = v

Tsawon igiya = radius = r

Ana nema: Ƙarfin tsakiya

Magani:

Ƙarfin tsakiya - matsaloli da mafita 3

3. An tsara hanyar lanƙwasa ta radius R ta yadda motar da ke tafiya a gudun 10 ms –1 za ta iya yin sulhu kan juyawa cikin aminci. Matsakaicin gogayya tsakanin mota da hanya = 0.5. Menene radius? Hawan nauyi saboda nauyi (g) = 10 ms –2.

An sani:

Gudun (v) = 10 m/s

Ma'aunin gogayya tsakanin mota da hanya (μs ) = 0.5

Saurin gudu saboda nauyi (g) = 10 m/s 2

Ana nema: Radius

Magani:

Ƙarfin da ke kan alkiblar kwance shine ƙarfin gogayya mai motsi. Daidaiton gogayya mai motsi:

Ƙarfin tsakiya - matsaloli da mafita 3

4. Adadin gogayya tsakanin taya da hanya shine 0.4. Idan saurin gudu saboda nauyi shine 10 m/s 2 , menene matsakaicin gudu don motar ta iya juyawa ba tare da ta fice daga hanyar da ke lanƙwasa ba.

An sani:

Ma'aunin gogayya mai canzawa (μ)s) = 0.4Ƙarfin tsakiya - matsaloli da mafita 6

Saurin gudu saboda nauyi (g) = 10 m/s 2

Radius na hanya (R) = mita 40

Ana so: matsakaicin gudu (v)

Magani:

Daidaiton dokar Newton ta biyu a cikin motsi mai zagaye iri ɗaya:

Ƙarfin tsakiya - matsaloli da mafita 7

ΣF = ƙarfin centripetal = ƙarfin net , m = m ass , a s = hanzarin centripetal , v = saurin layi , R = radius na hanya

Ƙarfin tsakiya

Ƙarfin centripetal shine ƙarfin da ke samar da hanzarin centripetal. A wannan yanayin, ƙarfin centripetal shine ƙarfin gogayya mai tsauri.

Daidaiton ƙarfin gogayya mai motsi:

Ƙarfin tsakiya - matsaloli da mafita 8

μ s = ma'aunin gogayya mai tsauri , w = nauyi , m = nauyi, g = hanzari saboda nauyi

Matsakaicin gudu (v):

Ƙarfin tsakiya - matsaloli da mafita 9

  1. Menene ƙarfin centripetal?
    • amsa: Ƙarfin tsakiya shine ƙarfin da ke aiki akan abu da ke tafiya a cikin hanyar da'ira, wanda aka nuna zuwa tsakiyar da'irar ko hanyar. Yana da alhakin kiyaye abin a cikin motsi na da'ira.
  2. Ta yaya ƙarfin centripetal ya bambanta da ƙarfin centrifugal?
    • amsa: Ƙarfin centripetal ƙarfi ne na gaske wanda ke aiki akan abu don ci gaba da tafiya a cikin hanyar da'ira. Ƙarfin centrifugal, a gefe guda kuma, ƙarfi ne da ake gani wanda yake kama da yana tura abu daga tsakiyar da'ira idan aka lura da shi daga tsarin tunani mai juyawa. Sau da yawa ana kiran ƙarfin centrifugal ƙarfi "ƙirƙira" ko "ƙirƙira".
  3. Me zai faru idan aka cire ƙarfin centripetal akan abu mai juyawa ba zato ba tsammani?
    • amsa: Idan aka cire ƙarfin centripetal akan abu mai juyawa ba zato ba tsammani, abin zai motsa a layi madaidaiciya zuwa hanyar da'ira a wurin da aka cire ƙarfin, bisa ga dokar motsi ta farko ta Newton.
  4. Ta yaya ƙarfin centripetal da ake buƙata ke canzawa tare da radius na hanyar da'ira don saurin da ya dace?
    • amsa: Ƙarfin da ake buƙata na centripetal yana daidai da radius na hanyar da'ira. Idan gudun ya kasance daidai amma radius ɗin ya ƙaru, ƙarfin centripetal da ake buƙata yana raguwa, akasin haka.
  5. Ta yaya ƙarfin tsakiya ke canzawa idan an ninka saurin abu a cikin motsi na zagaye?
    • amsa: Ƙarfin centripetal yana daidai gwargwado kai tsaye da murabba'in gudun abu. Don haka, idan aka ninka gudun sau biyu, ƙarfin centripetal da ake buƙata zai ninka sau huɗu.
  6. Shin nauyi zai iya aiki a matsayin ƙarfin centripetal?
    • amsa: Eh, nauyi zai iya aiki a matsayin ƙarfin centripetal. Babban misali shine ƙarfin nauyi tsakanin Duniya da Wata, wanda ke sa Wata ya kasance a zagayensa a Duniya.
  7. Me yasa kake jin an tura ka gefe idan kana juyawa da sauri a mota?
    • amsa: Idan mota ta yi juyi mai kaifi, ƙarfin centripetal yana aiki zuwa tsakiyar juyawar, yana riƙe motar a kan hanyarta ta zagaye. Duk da haka, jikinka yana ci gaba da tafiya a layi madaidaiciya saboda rashin kuzari. Wannan turawa daga waje da kake ji martani ne ga ƙarfin centripetal kuma sau da yawa ana kuskuren fassara shi a matsayin "ƙarfin centrifugal."
  8. Ta yaya nauyin abu ke shafar ƙarfin centripetal da ake buƙata don motsi na zagaye a saurin da ba ya canzawa?
    • amsa: Ƙarfin da ake buƙata na centripetal yana daidai gwargwado kai tsaye da nauyin abu. Idan aka ninka nauyin abu sau biyu, ƙarfin centripetal da ake buƙata shi ma zai ninka, idan aka yi la'akari da cewa gudun da radius ɗin suna nan a tsaye.
  9. Wace rawa gogayya ke takawa a cikin ƙarfin centripetal idan mota ta juya?
    • amsa: Idan mota ta juya, ƙarfin gogayya tsakanin tayoyi da hanya ne ke samar da ƙarfin centripetal da ake buƙata don kiyaye motar a kan hanya mai lanƙwasa. Idan babu gogayya (misali, a kan hanya mai kankara), motar ba za ta iya juyowa ba kuma za ta zame waje.
  10. Shin tashin hankali a cikin igiya zai iya aiki a matsayin ƙarfin centripetal?
  • amsa: Eh, tashin hankali a cikin igiya ko igiya na iya aiki a matsayin ƙarfin tsakiya. Misali, lokacin da aka juya abu a cikin hanyar zagaye ta amfani da igiya, tashin hankali a cikin igiyar yana samar da ƙarfin tsakiya da ake buƙata don ci gaba da motsi a cikin da'irar.