3 Mavuto ndi mayankho okhudza Moment of inertia equation
1. Silinda yolimba ili ndi utali wa masentimita 8 ndi kulemera kwa makilogalamu 2. Pakadali pano, mpira wolimba uli ndi utali wa masentimita 5 ndi kulemera kwa makilogalamu 4. Ngati zinthu ziwirizi zikuzungulira ndi mzere pakati pawo, dziwani chiŵerengero cha nthawi ya inertia ya silinda ndi mpirawo.
Zodziwika:
Utali wozungulira wa silinda yolimba (r) = 8 cm = 0.08 m
Kulemera kwa silinda yolimba (m) = 2 kg
Utali wozungulira wa mpira wolimba (r) = 5 cm = 0.05 m
Kulemera kwa mpira wolimba (m) = 4 kg
Kufunidwa: Kuyerekeza kwa nthawi ya inertia ya silinda ndi mpira
Yankho :
Fomula ya mphindi ya inertia ya silinda yolimba:
I = ½ MR 2 = ½ (2) (0,08) 2 = 0,0064
Fomula ya mphindi ya inertia ya mpira wolimba:
I = 2/5 MR 2 = 1/5 (4) (0,05) 2 = (0,8) (0,0025) = 0,002
Kuyerekeza kwa mphindi ya inertia ya silinda ndi mpira:
0,0064: 0,002
3,2: 1
2. Chitini chomwe mabisiketi anayikidwamo chinagwiritsidwa ntchito ngati chidole. Kulemera kwa chitinicho ndi magalamu 200 ndipo utali wake ndi masentimita 15. Chitinicho chimakulungidwa pansi mopingasa. Ngati chivindikiro ndi pansi pa chitinicho zanyalanyazidwa, dziwani nthawi yomwe chitinicho chalephera kugwira ntchito.
Zodziwika:
Chidebecho chikufanana ndi silinda yopanda kanthu.
Kulemera (m) = magalamu 200 = 0.2 kg
Utali wozungulira (r) = 15 cm = 0.15 m
SE basi:
yankho;
Fomula ya mphindi ya inertia ya silinda yopanda kanthu kudzera mu mzere:
I = MR 2 = (0,2)(0,15) 2 = (0,2)(0,0225) = 0,0045 kg m 2
3. Disiki yomwe imatha kuzungulira mozungulira mzere wowongoka imatha kuzungulira pa liwiro la ma revolution 80 pamphindi. Ngati chinthu chaching'ono chokhala ndi kulemera kwa 4 x 10-2 kg chalumikizidwa ku diski yomwe ili pamtunda wa 5 cm kuchokera ku mzere, zimawoneka kuti kuzungulira kwake ndi ma revolution 60 pamphindi, ndiye kuti dziwani nthawi ya inertia ya diski.
Zodziwika:
Liwiro loyambirira la angular (ω o ) = 80 ma puts / 60 s = 4/3 ma puts/s
Nthawi yoyamba ya inertia (Io ) = I
Liwiro lomaliza la angular (ω t ) = 60 put / 60 s = 1 put/s
Nthawi yomaliza ya inertia ( It ) = Ine + mr 2 = Ine + (0.04)(0.05) 2 = Ine + (0.04)(0.0025) = Ine + 0.0425
Kufunidwa: mphindi ya inertia ya Disc
yankho;
Lamulo losunga mphamvu ya angular
Ine ω o = Ine ω t
Ine (4/3) = Ine + (0,0425 (1))
4 I / 3 = Ine + 0,0425
4 Ine = 3 Ine + 0,1275
4 Ine – 3 Ine = 0,1275
I = 0,1275 kg m 2
