1. Taayir 3 0 cm ah oo gacan ah ayaa ku wareegaya 5 rad/s oo joogto ah 2. Waa maxay baaxadda dardargelinta toosan ee barta ku taal (a) 10 cm oo ka fog bartamaha (b) 20 cm oo ka fog bartamaha (c) ee geeska giraangiraha?
La yaqaan:
Gacanka (r) = 30 cm = 0.3 m
Dardargelinta xagasha ( α ) = 5 rad/s 2
La doonayo: dardargelinta toosan (a) r = 0.1 m (b) r = 0.2 m (c) r = 0.3 m
Xalka:
Xiriirka ka dhexeeya dardargelinta toosan (a) iyo dardargelinta xagasha:
a = r α
(a) dardargelinta toosan, r = 0.1 m
a = (0.1 m)(5 rad/s 2 ) = 0.5 m/s 2
(b) dardargelinta toosan, r = 0.2 m
a = (0.2 m)(5 rad/s 2 ) = 1 m/s 2
(c) dardargelinta toosan, r = 0.3 m
a = (0.3 m)(5 rad/s 2 ) = 1.5 m/s 2
2. Barkin 50 cm ah oo gacan ah. Haddii dardargelinta toosan ee barta ku taal geeska barkinta ay tahay 2 m/s 2 , go'aami xawaaraha xagasha ee barkinta!
La yaqaan:
Gacanka (r) = 50 cm = 0,5 m
Dardargelinta toosan (a) = 2 m/s 2
La doonayay: dardargelinta xagasha
Xalka:
α = a / r = 2 / 0.5 = 4 rad/s 2
3. Daabyada ku jira blender 20 cm oo gacan ah, marka hore marka la nasto. 2 ilbiriqsi ka dib, daabyadu waxay wareegaan 10 rad/s. Go'aami baaxadda dardargelinta toosan (a) dhibic ku taal 10 cm bartamaha (b) dhibic ku taal geeska daabyada.
La yaqaan:
Gacanka (r) = 20 cm = 0.2 m
Xawaaraha xagasha bilowga ah ( ωo ) = 0
Xawaaraha xagasha ugu dambeeya ( ω t ) = 10 radiyaan/ilbiriqsi
Muddada (t) = 2 ilbiriqsi
La Rabay: dardargelinta toosan ee barta ku taal (a) r = 0.1 m (b) r = 0.2 m
Xalka:
ω t = ω o + α t
10 = 0 + α (2)
10 = 2 α
α = 10/2
α = 5 rad/s
(a) dardargelinta toosan ee r = 0.1 m
a = r α = (0.1 m) (5 rad/s 2 ) = 0.5 m/s 2
(b) dardargelinta toosan ee r = 0.2 m
a = r α = (0.2 m) (5 rad/s 2 ) = 1 m/s 2
4. Taayir 20 cm ah oo gacan ah ayaa la dedejinayaa 2 ilbiriqsi laga bilaabo 20 rad/s si loo nasto. Go'aami baaxadda dardargelinta toosan (a) dhibic ku taal 10 cm oo ka fog bartamaha (b) dhibic ku taal 10 cm oo ka fog bartamaha.
La yaqaan:
Gacanka (r) = 20 cm = 0.2 m
Xawaaraha xagasha bilowga ah ( ω o ) = 20 rad/s
Xawaaraha xagasha ugu dambeeya ( ωt ) = 0
Muddada (t) = 2 ilbiriqsi
La Rabay: Dardargelinta toosan (a) r = 0.1 m (b) r = 0.2 m
Xalka:
ω t = ω o + α t
0 = 20 + α (2)
-20 = 2 α
α = -20 / 2
α = -10 rad/s
Calaamad taban macnaheedu waa xawaaraha xagasha ayaa hoos u dhacaya.
(a) dardargelinta toosan ee r = 0.1 m
a = r α = (0.1 m) (-10 rad/s 2 ) = -1 m/s 2
(b) dardargelinta toosan ee r = 0.2 m
a = r α = (0.2 m) (-10 rad/s 2 ) = -2 m/s 2
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- Cutubyada xaglaha ee beddelka dhibaatooyinka muunada leh ee xalalka
- Dhibaatooyinka muunadda iyo xalalka barakaca xagal iyo barokaca toosan
- Dhibaatooyinka muunada xawaaraha xagasha iyo xawaaraha toosan ee xalalka
- Muunadaha muunadaha dardargelinta xagasha iyo dardargelinta toosan ee xalalka
- Dhibaatooyinka muunadaha ee xalalka ah ee dhaqdhaqaaqyada wareegsan ee isku midka ah
- Muunadaha dhibaatooyinka dardargelinta dhexe ee xalalka
- Dhaqdhaqaaqyo wareeg ah oo aan isku mid ahayn oo muunad ah oo ku saabsan xalalka
