1. Into ihamba ngesangqa ngesantya esingaguqukiyo se-angular se-10 rad/s. Fumana (a) Isantya se-angular emva kwemizuzwana eli-10 (b) Ukufuduka kwe-angular emva kwemizuzwana eli-10.
Yaziwa:
Isantya se-angular (ω) = 10 rad/s
Ifunwa:
(a) Isantya se-angular (ω) emva kwemizuzwana eli-10.
(b) I-engile (θ) emva kwemizuzwana eli-10
Isisombululo:
(a) Isantya se-angular (ω) emva kwemizuzwana emi-10
Into ejikelezayo ngendlela efanayo ukuze isantya se-angular sihlale singaguquguquki, i-10 rad/s.
(b) Ukufuduka kwe-angular (θ)
Isantya se-angular esingaguqukiyo iiradians ezili-10/isekhondi sithetha into ejikeleze iiradians ezili-10 ngomzuzwana. Emva kwemizuzwana eli-10, into ejikeleze iiradians ezili-10 x ezili-10 = iiradians ezili-100.
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2. Isuntswana lihamba kwisangqa ngesantya esingaguqukiyo se-10 m/s. Irediyasi yesangqa = imitha e-1. Misela (a) Isantya sesuntswana emva kwemizuzwana emi-5 (b) Ukufuduka kwesuntswana emva kwemizuzwana emi-5 (c) Ukukhawuleziswa kweCentripetal.
Yaziwa:
Irediyasi yesangqa (r) = 1 imitha
Isantya seenxalenye (v) = 10 m/s
Isisombululo:
(a) Isantya seenxalenye emva kwemizuzwana emi-5
Intshukumo yento ikwintshukumo efanayo ejikelezayo ukuze isantya sihlale singaguquguquki, i-10 m/s.
(b) Ukufuduka kweenxalenye emva kwemizuzwana emi-5
Iimitha ezili-10 ngomzuzwana zithetha rhoqo ngomzuzwana omnye, ukufuduka kwesuntswana = iimitha ezili-10. Emva kwemizuzwana emi-5, ukufuduka kwesuntswana = 5 x 10 metres = iimitha ezingama-50.
(c) Ukukhawulezisa i-centripetal (a r )
a r = v 2 / r = 10 2 / 1 = 100 / 1 = 100 m/s 2
3. Ibhola eqhotyoshelwe kwelinye icala lentambo, ijikeleziswa kwisangqa esinerediyasi yeemitha ezi-2 kwisantya esingaguqukiyo se-60 rpm. Misela (a) ubukhulu besantya se-angular emva kwemizuzwana emi-2 (b) ukufuduka kwe-angular emva komzuzu o-1.
Yaziwa:
Irediyasi yesangqa (r) = iimitha ezi-2
Isantya se-angular (ω) = 60 rpm = ii-60 revolutions / umzuzu o-1
= iireyishini ezingama-60 / imizuzwana engama-60 = ujikelezo olu-1 / isibini = iireyidiyani ezi-2π / isibini
= 2(3.14) iiradiyani / yesibini= 6.28 iiradiyani / yesibini
Isisombululo:
(a) Isantya se-angular (ω) emva kwemizuzwana emi-2
Isantya se-angular asiguquki ngoko ke emva kwemizuzwana emi-2, isantya se-angular (ω) = 6.28 iiradians / isekhondi
(b) Ukufuduka kwe-angular (θ)
Isantya se-angular = 1 revolution/second kuthetha ukuba qho ngomzuzwana omnye, ibhola ifumana uguquko olu-1. Emva kwemizuzwana engama-60, ibhola itshintsha uguquko olu-60.
Isantya se-angular = 6.28 radians/second kuthetha ukuba qho ngomzuzwana omnye, ibhola ihamba nge-engile ye-6.28 radians. Emva kwemizuzwana engama-60, ibhola ihamba nge-376.8 radians.
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4. Ivili lebhayisekile lijikeleza iinguqu ezili-120 kwimizuzwana engama-60. Ingakanani isantya se-angle?
Isisombululo:
(a) iinguqu ngomzuzu (rpm)
Iinguqu ezili-120 / imizuzwana engama-60 = iinguqu ezili-120 / umzuzu o-1 = iinguqu ezili-120 / umzuzu = i-120 rpm
(b) iidigri ngomzuzwana ( o /s)
Uguquko olu-1 = 360 o , iinguqu ezili-120 = 43200 o
Iinguqu ezili-120 / imizuzwana engama-60 = (120)(360 o ) / imizuzwana engama-60 = 43200 o / imizuzwana engama-60 = 720 o /isekhondi
(c) iiradiyani ngomzuzwana (i-rad/s)
Uguquko olu-1 = iiradiyani eziyi-6.28
Iireyidi ezili-120 / imizuzwana engama-60 = (120)(6.28) iiradiyani / imizuzwana engama-60 = iiradiyani ezingama-753.6 / imizuzwana engama-60 = iiradiyani ezili-12.56/isekhondi.
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- Iingxaki zesampulu zokuguqula iiyunithi ze-engile ngezisombululo
- Iingxaki zesampulu zokufuduka kwe-angular kunye nesampulu yokufuduka ethe tye kunye nezisombululo
- Iingxaki zesampuli zesantya se-angular kunye nesantya esithe ngqo kunye nezisombululo
- Iingxaki zesampulu zokukhawulezisa ze-angular kunye nesampulu yokukhawulezisa ethe tye enezisombululo
- Iingxaki zesampuli zeentshukumo ezijikelezayo ezifanayo kunye nezisombululo
- Iingxaki zesampulu yokukhawulezisa iCentripetal kunye nezisombululo
- Iingxaki zesampuli zeentshukumo ezijikelezayo ezingalinganiyo kunye nezisombululo
