Zitsanzo 7 za kayendedwe kozungulira kosinthasintha mofanana
1. Choyendera chomwe poyamba chimakhala chokhazikika, chimazungulira ndi liwiro lokhazikika la 2 rad/s.2Dziwani kuthamanga kwa angular ndi liwiro la angular la propeller patatha masekondi awiri. Ziwonetseni mu ma radians ndi masekondi.
Zokambirana
Ndizodziwika kuti :
Anafunsa : kuthamanga kwa angular ndi liwiro la angular pambuyo pa masekondi awiri
Yankhani :
(a) Kuthamanga kwa angular pambuyo pa masekondi awiri
Kuthamanga kwa angular kumakhala kosalekeza kotero pambuyo pa masekondi awiri, kuthamanga kwa angular kumakhalabe 2 rad/s2.
(b) Liwiro la angular pambuyo pa masekondi awiri
Kuthamanga kwa Angular 2 rad/s2 = ma radians awiri/sekondi pa sekondi imodzi zikutanthauza kuti liwiro la angular limawonjezeka ndi ma radians awiri/sekondi iliyonse. Pambuyo pa sekondi imodzi, liwiro la angular limakhala ma radians awiri/sekondi imodzi. Pambuyo pa masekondi awiri, liwiro la angular limakhala ma radians anayi/sekondi imodzi.
2. Gudumu lomwe poyamba limapuma limathamanga mofanana. Pambuyo pa masekondi 10, gudumu limazungulira pa liwiro la 60 rpm. Dziwani kuthamanga kwa gudumu!
Zokambirana
Yankhani :
Fomula ya kuyenda kozungulira kofulumira (GMBB) ndi yofanana ndi fomula ya kuyenda kozungulira kofulumira (GLBB).
Kuthamanga kwa gudumu ndi 0,628 rad/s2
3. Liwiro la angular la silinda limasintha mofanana kuchokera pa 20 rad/s kufika pa 10 rad/s mu masekondi 4. Dziwani liwiro la angular la silinda!
Zokambirana
Yankhani :
Kuthamanga kwa silinda ndi -2,5 rad/s2Chizindikiro choyipa = kufulumira kapena kutsika kwa liwiro. Ngati pakuthamanga, liwiro la angular likuwonjezeka, ndiye kuti pakuthamanga, liwiro la angular limachepa.
4. Chinthu chomwe chimazungulira koyamba pa liwiro la angular la 10 rad/s chimakhala ndi liwiro la angular lokhazikika la 2 rad/s.2Dziwani ngodya yomwe ikuzungulira chinthucho patatha masekondi awiri!
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5. Gudumu la galimoto lomwe poyamba limazungulira pa liwiro la 20 rad/s limasiya kuzungulira litayenda ngodya ya ma radian 20. Kuthamanga kwa gudumu ndi…
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Yankhani :
Funso ili layankhidwa pogwiritsa ntchito fomula 3.
6. Mafunso a Mayeso a Dziko Lonse a 1999/2000 P4 Nambala 26
Ndodo ya PQ yautali wa 60 cm imazunguliridwa ndi nsonga ya Q ngati mzere ndi PQ ngati utali wozungulira. Ndodo ya PQ imazungulira kuchokera pamalo opumulira ndi kuthamanga kwa angular kwa 0,3 rad s.-2Ngati malo oyamba a angular = 0, ndiye kuti liwiro la mzere (v) la kumapeto kwa P panthawi ya t = masekondi 10 ndi...
A. 1,8 ms-1
B. 3 ms-1
C. 5 ms-1
D. 30 ms-1
E. 180 ms-1
Zokambirana
Amadziwika kuti:
Kutalika kwa ndodo PQ = radius ya bwalo (r) = 60 cm = 60/100 m = 0,60 mamita
Liwiro loyambirira la angular (ωo) = 0 rad/s
Kuthamanga kwa angular (α) = 0,3 rad s-2
Malo oyamba a angular (θo= = 0
Anafunsa kuti: Liwiro la mzere (v) la mapeto P panthawi t = masekondi 10
Yankho:
Choyamba werengani liwiro la angular la ndodo panthawi ya t masekondi 10.
Fomula Yoyendetsera Kuzungulira Kofulumira Mofanana:
ωt = ωo + α t = 0 rad/s + (0,3 rad s-2(masekondi 10) = 3 rad s-1
Liwiro la angular pa t = masekondi 10 ndi ma radians atatu/sekondi.
Liwiro la mzere pa t = masekondi 10 limawerengedwa pogwiritsa ntchito njira yolumikizirana pakati pa liwiro la mzere (v), liwiro la angular (ω) ndi radius (r).
v = r ω = (mamita 0,6)(ma radians atatu/sekondi) = mamita 1,8/sekondi.
Yankho lolondola ndi A.
7. Mafunso a Mayeso a Dziko Lonse a 2002/2003
Chinthu chimayenda mozungulira ndi liwiro loyambirira la 4 rad/s ndipo chimakumana ndi kuthamanga kwa angular kwa 0,5 rad/s2 Kotero liwiro la chinthucho mu sekondi yachinayi ndi...
A. 4,0 rad/s
B. 4,5 rad/s
C. 5,0 rad/s
D. 6,0 rad/s
E. 8,0 rad/s
Zokambirana
Amadziwika kuti:
Liwiro loyambirira la angular (ωo) = ma radians 4/sekondi
Kuthamanga kwa angular (α) = 0,5 rad/s2
Nthawi yopuma (t) = masekondi 4
Anafunsa kuti: Liwiro la chinthucho mu sekondi yachinayi (ωt)
Yankho:
Fomula yosinthira kayendedwe kozungulira molingana:
ωt = ωo + α t
ωt = 4 + (0,5)(4)
ωt = 4 + 2
ωt = ma radians 6/sekondi
Yankho lolondola ndi D.
