Lamulo losunga mphamvu ya angular anati ngati mphindi ya mphamvu yochokerapo Mu chinthu cholimba chomwe chikuzungulira mtengo wake ndi zero ndiye mphamvu ya angular Chinthu cholimba chomwe chimayenda mozungulira nthawi zonse. Njira ya lamulo losunga mphamvu ya angular ingapezeke mwa masamu mwa kusintha njira ya lamulo lachiwiri la Newton la kuyenda kwa mphamvu ya angular.
Mtundu uwu wa angular momentum wa lamulo lachiwiri la Newton ndi fanizo lozungulira la fomula Baibulo lachiwiri la Newton la mphamvu ya lamulo.
Ngati mphamvu yochokera pamenepo ndi zero, fomula yomwe ili pamwambapa imasintha kukhala:
Zambiri:
Chitsanzo cha mavuto:
1. Tinthu tating'onoting'ono tomwe timayenda mozungulira timakhala ndi nthawi yochepa yolemera makilogalamu 4 m2 ndi liwiro la angular la 2 rad/s. Ngati liwiro la angular la tinthu tating'onoting'ono lisintha kufika pa 4 rad/s ndiye kuti nthawi ya inertia ya tinthu tating'onoting'ono imasintha kufika pa…
Zokambirana
Ndizodziwika kuti :
Nthawi yoyamba ya inertia = 4 kg m2
Liwiro loyambirira la angular = 2 rad/s
Liwiro lomaliza la angular = 4 rad/s
Anafunsa : mphindi yomaliza ya kusakhala ndi mphamvu?
Yankhani :
Lamulo losunga mphamvu ya angular limati:
Mphamvu yoyambirira ya angular (L)o) = mphamvu yomaliza ya angular (Lt)
(mphindi yoyamba ya inertia) (liwiro loyamba la angular) = (mphindi yomaliza ya inertia) (liwiro lomaliza la angular)
(4 kg m2)(2 rad/s) = (mphindi yomaliza ya inertia)(4 rad/s)
Nthawi yomaliza ya inertia = 2 kg m2
2. Tinthu tolemera makilogalamu awiri timazungulira mozungulira mzere wozungulira kuchokera pa mtunda wa mamita awiri ndi liwiro la angular la 2 rad/s. Ngati mtunda wa tinthu tozungulira kuchokera pa mzere wozungulira usintha kufika pa mita imodzi, dziwani liwiro la angular la tinthuto!
Zokambirana
Ndizodziwika kuti :
Kulemera kwa tinthu tating'onoting'ono = 2 kg
Mtunda wa tinthu kuchokera ku mzere wozungulira (1) = mita imodzi
Liwiro loyambirira la angular = 2 rad/s
Mtunda wa tinthu kuchokera ku mzere wozungulira (2) = mita imodzi
Anafunsa : liwiro lomaliza la angular ?
Yankhani :
Werengerani mphindi ya inertia (I) ya tinthu tating'onoting'ono
Nthawi yoyamba ya inertia (I) awa) :
I awa = Bambo.2 = (2 kg)(2 m)2 = (2 kg)(4 m2) = 8 kg m2
Nthawi yomaliza ya inertia (I TSIRIZA) :
I TSIRIZA = Bambo.2 = (2 kg)(1 m)2 = (2 kg)(1 m2) = 2 kg m2
Werengerani liwiro lomaliza la angular
Lamulo losunga mphamvu ya angular :
Mphamvu yoyambirira ya angular = mphamvu yomaliza ya angular
(mphindi yoyamba ya inertia) (liwiro loyamba la angular) = (mphindi yomaliza ya inertia) (liwiro lomaliza la angular)
(8 kg m2)(2 rad/s) = (2 kg m2(liwiro lomaliza la angular)
Liwiro lomaliza la angular = 8 rad/s
3. Disiki yolimba yozungulira yofanana imazungulira pa mzere wake ndi liwiro la angular la 4 rad/s. Kulemera ndi utali wa diski ndi 1 kg ndi 0,5 mita. Disiki ikazungulira, mphete yokhala ndi utali ndi utali wa 0,2 kg ndi 0,1 mita imayikidwa pamwamba pa diski kuti diski ndi mphete zizungulire pamodzi. Pakati pa mpheteyo pali pamwamba pa pakati pa diski. Dziwani liwiro la angular la diski ndi mpheteyo!
Zokambirana
Ndizodziwika kuti :
Liwiro loyambirira la angular = liwiro la angular la silinda yolimba = 4 rad/s
Kulemera kwa silinda yolimba = 1 kg
Ulalo wa silinda yolimba = mamita 0,5
Kulemera kwa mphete = 0,2 kg
Utali wa mphete = 0,1 mita
Anafunsa : liwiro lomaliza la angular = liwiro la angular la mphete ndi silinda yolimba?
Yankhani :
Fomula ya mphindi ya inertia ya silinda yolimba yofanana = I = ½ mr2
Fomula ya mphindi ya inertia ya mphete = I = mr2
Nthawi yoyamba ya inertia = mphindi ya inertia ya silinda yolimba:
Ine = ½ mr2 = ½ (1 kg)(0,5 m)2 = (0,5 kg)(0,25 m2) = 0,125 kg m2
Nthawi yomaliza ya inertia = mphindi ya inertia ya silinda yolimba + mphindi ya inertia ya mphete:
Nthawi ya inertia ya mphete = Ine = mr2 = (0,2 kg)(0,1 m)2 = (0,2 kg)(0,01 m2) = 0,002 kg m2
Nthawi yomaliza ya inertia = 0,125 kg m2 + 0,002 kg m2 = 0,127 kg m2
Lamulo losunga mphamvu ya angular :
Mphamvu yoyambirira ya angular (L)o) = mphamvu yomaliza ya angular (Lt)
(mphindi yoyamba ya inertia) (liwiro loyamba la angular) = (mphindi yomaliza ya inertia) (liwiro lomaliza la angular)
(0,125 kg m2)(4 rad/s) = (0,127 kg m2(liwiro lomaliza la angular)
0,5 kg m2/s = (0,127 kg m2(liwiro lomaliza la angular)
Liwiro lomaliza la angular = 0,5 / 0,127
Liwiro lomaliza la angular = 4 rad/s
