1. Lebili la mithara e le 1 ka radius le potlakisa ka ho lekana ho 2 rad/s 2 . Fumana lebelo la angular le lebelo la angular la lebili, metsotsoana e 2 hamorao.
Tse tsejoang:
Radius (r) = 1 mithara
Ho potlaka ha Angular (α ) = 2 rad/s 2
Ho batloa: ho potlaka ha angular le lebelo la angular kamora metsotsoana e 2.
Tharollo:
(a) Ho potlaka ha Angular ka metsotsoana e 2
Ho potlaka ha Angular ho tsitsitse, kahoo kamora metsotsoana e 2, ho potlaka ha Angular ha lebili ke 2 rad/s 2.
(b) Lebelo la Angular ka metsotsoana e 2
Ho potlakisa ha Angular 2 rad/s 2 ho bolela hore lebelo la angular le eketsa radians/motsotswana tse 2 motsotsoana o mong le o mong o le mong. Kamora motsotsoana o le mong, lebelo la angular = radians/motsotswana tse 2. Kamora metsotsoana e 2, lebelo la angular = radians/motsotswana tse 4.
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2. Phatsa e potlaka ka ho lekana ho tloha phomolong ho isa ho 60 rpm ka metsotsoana e 10. Fumana boholo ba potlakiso ea angular!
Tse tsejoang:
Lebelo la pele la angular (ω o ) = 0
Lebelo la ho qetela la angular ( ωt ) = 60 rpm = diphetoho tse 60 / metsotsoana e 60 = phetoho e le 1 / motsotsoana = di-radian tse 6,28/motsotswana
Nako ea ho arohana (t) = metsotsoana e 10
Ho batloa: Ho potlakisa ka mokhoa o potolohang ( α )
Tharollo:
ω o = lebelo la pele la angular, ω t = lebelo la ho qetela la angular, α = lebelo la angular, t = nako e sa fellang, θ = angle.
ω t = ω o + α t
6.28 = 0 + α (10)
6.28 = 10 α
α = 6.28 / 10
α = 0.628 rad/s 2
Boholo ba ho potlaka ha angular = 0.628 rad/s 2
3. Ntho e fokotsa lebelo ho tloha ho 20 rad/s ho isa ho 10 rad/s ka metsotsoana e 4. Fumana boholo ba lebelo la angular!
Tse tsejoang:
Nako ea ho arohana (t) = metsotsoana e 4
Lebelo la pele la angular ( ω o ) = 20 rad/s
Lebelo la ho qetela la angular ( ω t ) = 10 rad/s
Ho batloa : boholo ba ho potlaka ha angular (α )
Tharollo:
ω t = ω o + α t
10 = 20 + α (4)
10 – 20 = 4 α
-10 = 4 α
α = -10 / 4
α = – 2.5 rad/s 2
Boholo ba ho potlaka ha angular ke -2.5 rad/s 2. Letshwao le fosahetseng le bolela hore ntho e a potlaka. Potlako = lebelo la angular lea eketseha, ho potlaka = lebelo la angular lea fokotseha.
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4. Ntho e potlakiswa ka metsotsoana e 2 ho tloha ho 10 rad/s ho isa ho 2 rad/s . 2. Fumana sekhutlo se potileng ntho eo!
Tse tsejoang:
lebelo la pele la angular ( ω o ) = 10 rad/s
ho potlaka ha angular (α ) = 2 rad/s 2
nako e sa fellang (t) = metsotsoana e 2
Ho batloa: sekhutlo (θ)
Tharollo:
θ = ω o + ½ α t 2
θ = (10)(2) + ½ (2)(2 2 )
θ = 20 + (1)(4) = 20 + 4
θ = mahlasedi a 24
5. Lebili la koloi le fokotsa lebelo ho tloha ho 20 rad/s ho ea phomola kamora ho potoloha 20 radians. Fumana boholo ba lebelo le potolohang la lebili!
Tse tsejoang:
lebelo la pele la angular ( ω o ) = 20 rad/s
lebelo la ho qetela la angular ( ωt ) = 0
Angle ( θ ) = 20 radians
Ho batloa: boholo ba ho potlaka ha angular (α )
Tharollo:
ω t 2 = ω o 2 + 2 α θ
0 = 20 2 + 2 α (20)
0 = 400 + 40 α
400 = – 40 α
α = – 400 / 40
α = – 10 rad/s 2
6. Rod PQ e bolelele ba 60 cm e potoloha hoo e ka bang ntlha Q e le axis ea potoloho le PQ e le radius ea selikalikoe. Rod PQ e potlakile ho tloha phomolong ho ea ho 0.3 rad/s 2 . Lebelo le otlolohileng la ntlha P ke lefe ho t = metsotsoana e 10, haeba boemo ba pele ba angular e le 0.
Tse tsejoang:
Bolelele ba thupa PQ = radius ea selikalikoe (r) = 60 cm = 60/100 m = 0.60 m
Lebelo la pele la angular (ω o ) = 0 rad/s
Ho potlaka ha Angular (α) = 0.3 rad s -2
Boemo ba pele ba angular (θ o ) = 0
Ho batloa: Lebelo le otlolohileng (v) la ntlha P ho t = metsotsoana e 10
Tharollo:
Lebelo la ho qetela la angular kamora metsotsoana e 10:
ω t = ω o + α t = 0 rad/s + (0.3 rad s -2 )(10 s) = 3 rad/s
Lebelo la ho qetela le otlolohileng kamora metsotsoana e 10:
v = r ω = (0.6 m)(3 rad/s) = 1.8 m/s
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7. Ntho e potoloha ka lebelo la pele la 4 rad/s mme lebelo la angular ke 0.5 rad/s 2. Lebelo la ntho ke lefe kamora metsotsoana e 4?
Tse tsejoang:
Lebelo la pele la angular (ω o ) = 4 rad/s
Ho potlaka ha Angular (α) = 0.5 rad/s 2
Nako ea ho arohana (t) = metsotsoana e 4
Ho batloa: Lebelo la ntho kamora metsotsoana e 4 (ω t )
Tharollo:
ω t = ω o + α t
ω t = 4 + (0.5)(4)
ω t = 4 + 2
ω t = 6 rad/s
8. Oache ea lebota e bophara ba 10 cm e na le linalete tse tharo, e 'ngoe le e 'ngoe e bontša lihora, metsotso le metsotsoana. Papiso ea palo ea lipotoloho tsa nale ea hora: nale ea motsotso: nale ea bobeli.
A. 1: 3: 180
B. 1 : 12 : 720
C. 4: 12: 180
D. 4: 12: 720
Tse tsejoang:
Hora e le 1 = metsotso e 60
Lihora tse 12 = (12)(metsotso e 60) = metsotso e 720
Lebelo la angular la nale ea hora = phetoho e le 'ngoe / lihora tse 12 = phetoho e le 'ngoe / metsotso e 720
Lebelo la motsotso la nale = phetoho e le 'ngoe / hora e le 'ngoe = phetoho e le 'ngoe / metsotso e 60
Lebelo la nale ea bobeli le potolohang = phetohelo e le 'ngoe / motsotso o le mong
Ho batloa: Papiso ea palo ea lipotoloho tsa nale ea hora: nale ea motsotso: nale ea bobeli
Tharollo:
Tekanyo ea motsamao o chitja:
Lebelo la Angular = palo ea liphetohelo / nako e sa fellang
Palo ea liphetohelo = lebelo la angular x nako e sa fellang
Ka nako e tšoanang, mohlala, motsotso o le mong, ke liphetoho tse kae tsa nale ea hora, nale ea motsotso, le nale ea bobeli.
Palo ea liphetohelo tsa nale ea hora = lebelo la angular x nako ea karohano = (phetohelo e le 'ngoe / metsotso e 720) (motsotso o le mong) = liphetohelo tse 1/720
Palo ea liphetohelo tsa nale ea motsotso = lebelo la angular x nako ea karohano = (phetohelo e le 'ngoe / metsotso e 60) (motsotso o le mong) = liphetohelo tse 1/60
Palo ea liphetohelo tsa nale ea bobeli = lebelo la angular x nako ea nako = (phetohelo e le 'ngoe / motsotso o le mong) (motsotso o le mong) = phetoho ea 1/1
Papiso ea liphetohelo tse 'maloa:
Palo ea liphetohelo tsa nale ea hora: palo ea liphetohelo tsa nale ea motsotso: palo ea liphetohelo tsa nale ea bobeli.
1/720: 1/60: 1/1
1/720: 12/720: 720/720
1:12:720
Karabo e nepahetseng ke B.
9. Bolo e tlamilweng ka thapo. Bolo e potoloha e le hore e tsamaye ka tsela e chitja e bapileng le bokaholimo ba lefats'e. Motsamaong ona, bolo e potlaka hobane…..
A. Khohlano ea moea
B. Boima ba bolo
C. Matla a kgatello
Tharollo:
Molao oa bobeli oa Newton oa motsamao o bolela hore ntho e potlakisoa haeba ho na le matla a hlahang. Bolo e hokahantsoe le thapo 'me ha thapo e potoloha, bolo le eona ea potoloha. Ha bolo e potoloha (bolo e tsamaea ka selikalikoe), bolo e feta ka lebelo la centripetal. Lintho tsohle tse tsamaeang li potoloha ka lebelo la centripetal. Potlakiso ea centripetal e bakoa ke matla a centripetal . Matla a centripetal bakeng sa nyeoe ena ke matla a khatello.
Karabo e nepahetseng ke C.
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[ID ea sephutheloana sa wpdm='437′]
[ID ea sephutheloana sa wpdm='439′]
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