1. Chinthu chokhala ndi mphindi ya inertia of 2 makilogalamu m2 imazungulira pa 1 rad/s. Kodi mphamvu ya angular cha chinthucho?
Zodziwika:
Mphindi ya inertia (I) = 2 kg m2
Liwiro la ngodya (ω) = 1 rad/s
Akufuna: Angular liwiro (L)
Yankho:
Fomula ya angular momentum:
L = Ine ω
L= mphamvu ya angular (kg m2/s), Ine = mphindi ya inertia (kg m2), ω = liwiro la angular (rad/s)
Mphamvu ya angular:
L = Ine ω = (2)(1) = 2 kg m2/s
2. 2-kg pulley ya silinda yokhala ndi utali wozungulira wa 0.1 mamita imazungulira pa liwiro lokhazikika la angular la 2 rad/s. Kodi angular momentum ya pulley ndi yotani?
Zodziwika:
Misa ya pulley (m) = 2 kg
Utali wozungulira wa Pulley (r) = 0.1 m
Liwiro la ngodya (ω) = 2 rmalonda/magawo
Akufuna: Angular liwiro
Yankho:
Fomula ya mphindi ya inertia ya silinda yolimba:
I = 1/2 mr2
I = mphindi ya inertia (kg m2), m = Unyinji (kg), r = radius (m)
Nthawi ya kutopa:
Ine = 1/2 (2)(0.1)2 = (1)(0.01) = 0.01 kg m2
Liwiro la angular:
L = Ine ω = (0.01)(2) = 0.02 kg m2/s
3. Chipilala chofanana cha makilogalamu awiri chokhala ndi utali wa 0.2 mamita imazungulira pa 4 rad/s. Kodi mphamvu ya mpira ndi yotani?
Zodziwika:
Misa ya mpira (m) = 2 kg
Ulalo wa mpira (r) = 0.2 m
Liwiro la ngodya (ω) = 4 rad/s
Akufuna: Angular liwiro
Yankho:
Fomula ya mphindi ya inertia ya malo ofanana:
I = (2/5) Bambo.2
Ine = mphindit ya inertia (kg m2), m = kulemera (kg), r = radius (m)
Nthawi ya inertia ya malo ofanana:
Ine = (2/5)(2)(0.2)2 = (4/5)(0.04) = 0.032 kg m2
Mphamvu ya angular ya mlengalenga:
L = Ine ω = (0.032)(4) = 0.128 kg m2/s
4. A Kilogalamu imodzi tinthu timazungulira pa liwiro lokhazikika la angular 2 rad/s. Kodi liwiro la angular ndi lotani ngati radius ya bwalo ndi 1?0 masentimita.
Zodziwika:
Misa cha chinthu (m) = 1 kg
Utali wa bwalo (r) = 10 cm = 10/100 = 0.1 m
Liwiro la angular (ω) = 2 rad/s
Akufuna: Angular liwiro
Yankho:
Fomula ya mphindi ya inertia ya tinthu tating'onoting'ono:
I = Bambo.2 = (1)(0.1)2 = (1)(0.01) = 0.01 kg m2
Mphamvu ya angular:
L = I ω = (0.01)(2) = 0.02 kg m2/s
