1. Chinhu chine nguva ye inertia of 2 makirogiramu m2 inotenderera pa 1 rad/s. Chii angular kukurumidza yechinhu chacho?
Zvinozivikanwa:
Nguva yeinertia (I) = 2 kg m2
Kumhanya kwekona (ω) = 1 rad/s
Zvaidiwa: Angular momentum (L)
Solution:
Fomura ye angular momentum:
L = Ini ω
L= angular kukurumidza (kg m2/s), ini = nguva ye inertia (kg m2), ω = kumhanya kwekona (rad/s)
Mwenje wekona:
L = Ini ω = (2)(1) = 2 kg m2/s
2. A zana-kg pulley yesilinda ine nharaunda ye 0.1 M inotenderera nekumhanya kwekona kunogara kuripo kwe2 rad/s. Chii chinonzi angular momentum yepulley?
Zvinozivikanwa:
Misa yepulley (m) = 2 kg
Nharaunda yePulley (r) = 0.1 m
Kumhanya kwekona (ω) = 2 rad/s
Zvaidiwa: Angular momentum
Solution:
Fomura yenguva yekusagadzikana kwesimbi yakasimba:
I = 1/2 mr2
I = nguva ye inertia (kg m2), m = uremu (kg), r = radius (m)
Nguva yekusaita basa:
Ini = 1/2 (2)(0.1)2 = (1)(0.01) = 0.01 kg m2
Kumhanya kwekona:
L = Ini ω = (0.01)(2) = 0.02 kg m2/s
3. Chipembere chakaenzana che2-kg chine dhayamita ye 0.2 M inotenderera pa 4 rad/s. Chii chinonzi angular momentum yebhora?
Zvinozivikanwa:
Misa yebhora (m) = 2 kg
Nharaunda yebhora (r) = 0.2 m
Kumhanya kwekona (ω) = 4 rad/s
Zvaidiwa: Angular momentum
Solution:
Fomura yenguva yekusagadzikana kwechikamu chimwe chete:
I = (2/5) Va.2
Ini = nguvat yekusagadzikana (kg m2), m = huremu (kg), r = radius (m)
Nguva yekusagadzikana kwenzvimbo imwechete:
Ini = (2/5)(2)(0.2)2 = (4/5)(0.04) = 0.032 kg m2
Mwenje wekona webhora:
L = Ini ω = (0.032)(4) = 0.128 kg m2/s
4. A 1 kg chidimbu chinotenderera nekumhanya kwakasimba kwe 2 rad/s. Chii chinonzi kona yekumhanya kana radius yedenderedzwa iri 1?0 cm.
Zvinozivikanwa:
Misa yechinhu (m) = 1 kg
Radiyo yedenderedzwa (r) = 10 cm = 10/100 = 0.1 m
Kumhanya kwekona (ω) = 2 rad/s
Zvaidiwa: Angular momentum
Solution:
Fomura yenguva yekusagadzikana kwezvikamu:
I = Va.2 = (1)(0.1)2 = (1)(0.01) = 0.01 kg m2
Mwenje wekona:
L = I ω = (0.01)(2) = 0.02 kg m2/s
