1. Isondo elingamasentimitha angu-3 0 ku-radius lijikeleza ku- 5 rad/s engaguquki 2 . Ubukhulu bokusheshisa okuqondile kwephuzu elitholakala ku-(a) 10 cm ukusuka enkabeni (b) 20 cm ukusuka enkabeni (c) onqenqemeni lwesondo buyini?
Kwaziwa:
Irediyasi (r) = 30 cm = 0.3 m
Ukusheshisa kwe-angular ( α ) = 5 rad/s 2
Okufunwayo: ukusheshisa okuqondile (a) r = 0.1 m (b) r = 0.2 m (c) r = 0.3 m
Isixazululo:
Ubudlelwano phakathi kokusheshisa okuqondile (a) kanye nokusheshisa kwe-angular:
a = r α
(a) ukusheshisa okuqondile, r = 0.1 m
a = (0.1 m)(5 rad/s 2 ) = 0.5 m/s 2
(b) ukusheshisa okuqondile, r = 0.2 m
a = (0.2 m)(5 rad/s 2 ) = 1 m/s 2
(c) ukusheshisa okuqondile, r = 0.3 m
a = (0.3 m)(5 rad/s 2 ) = 1.5 m/s 2
2. I-pulley engu-50 cm ku-radius. Uma ukusheshisa okuqondile kwephuzu eliseceleni kwe-pulley kungu-2 m/s 2 , thola ukusheshisa kwe-angular kwe-pulley!
Kwaziwa:
Irediyasi (r) = 50 cm = 0,5 m
ukusheshisa okuqondile (a) = 2 m/s 2
Okufunwayo: ukusheshisa kwe-angular
Isixazululo:
α = a / r = 2 / 0.5 = 4 rad/s 2
3. Ama-blade ku-blender angama-20 cm erediyasi, ekuqaleni ephumulile. Ngemva kwemizuzwana emi-2, ama-blade ajikeleza ama-rad ayi-10/s. Thola ubukhulu bokusheshisa okuqondile (a) iphuzu elitholakala ku-10 cm ukusuka enkabeni (b) iphuzu elitholakala emaphethelweni ama-blade.
Kwaziwa:
Irediyasi (r) = 20 cm = 0.2 m
Ijubane lokuqala le-angular ( ωo ) = 0
Ijubane lokugcina le-angular ( ωt ) = ama - radians ayi-10/isekhondi
Isikhawu sesikhathi (t) = imizuzwana eyi-2
Okufunwayo: ukusheshisa okuqondile kwephuzu elitholakala ku-(a) r = 0.1 m (b) r = 0.2 m
Isixazululo:
ω t = ω o + α t
10 = 0 + α (2)
10 = 2 α
α = 10/2
α = 5 rad/s
(a) ukusheshisa okuqondile kwe-r = 0.1 m
a = r α = (0.1 m)(5 rad/s 2 ) = 0.5 m/s 2
(b) ukusheshisa okuqondile kwe-r = 0.2 m
a = r α = (0.2 m)(5 rad/s 2 ) = 1 m/s 2
4. Isondo elingamasentimitha angu-20 ku-radius lisheshiswa imizuzwana emi-2 kusukela kuma-rad angu-20/s ukuze liphumule. Nquma ubukhulu bokusheshiswa okuqondile (a) iphuzu elitholakala ku-10 cm ukusuka enkabeni (b) iphuzu elitholakala ku-10 cm ukusuka enkabeni.
Kwaziwa:
Irediyasi (r) = 20 cm = 0.2 m
Isivinini sokuqala se-angular ( ω o ) = 20 rad/s
Isivinini sokugcina se-angular ( ωt ) = 0
Isikhawu sesikhathi (t) = imizuzwana eyi-2
Okufunwayo: Ukusheshisa okuqondile (a) r = 0.1 m (b) r = 0.2 m
Isixazululo:
ω t = ω o + α t
0 = 20 + α (2)
-20 = 2 α
α = -20 / 2
α = -10 rad/s
Uphawu olunegethivu lusho ukuthi ijubane le-angular liyehla.
(a) ukusheshisa okuqondile kwe-r = 0.1 m
a = r α = (0.1 m)(-10 rad/s 2 ) = -1 m/s 2
(b) ukusheshisa okuqondile kwe-r = 0.2 m
a = r α = (0.2 m)(-10 rad/s 2 ) = -2 m/s 2
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