Izibonelo ezi-5 zemibuzo yamandla e-kinetic ajikelezayo
1. Into ine -moment of inertia engu-1 kg m2 ejikelezayo ku-axis eqondile enejubane le-angular elingu- 2 rad/s. Iyini amandla e-kinetic ajikelezayo ale nto?
Ingxoxo
Kuyaziwa ukuthi:
Isikhathi sokungalali kahle (I) = 1 kg m2
Ijubane le-angular (ω) = 2 rad/s
Kubuziwe: Amandla e-kinetic ajikelezayo (EK)
Impendulo:
Ifomula yamandla e-kinetic ajikelezayo:
EK = 1/2 I ω2
Incazelo: EK = amandla e-kinetic ajikelezayo (kg m2/s2), I = umzuzu wokungakhathali (kg m2), ω = ijubane le-angular (rad/s)
Amandla e-kinetic ajikelezayo:
EK = 1/2 I ω2 = 1/2 (1)(2)2 = 1/2 (1)(4) = 2 amaJoule
2. I-pulley yediski eqinile inobunzima obungama-20 kg kanye ne-radius yamamitha angu-0,2. Uma i-pulley ijikeleza ku-axis yayo ngejubane elingaguquguquki lama-rad angu-4/umzuzwana, iyini amandla e-kinetic ajikelezayo e-pulley?
Ingxoxo
Kuyaziwa ukuthi:
Isisindo se-pulley yediski eqinile (m) = 20 kg
Irediyasi yepulley yediski eqinile (r) = amamitha angu-0,2
Ijubane le-angular (ω) = ama-radian angu-4/umzuzwana
Kubuziwe: Iyini amandla e-kinetic ajikelezayo e-pulley?
Impendulo:
Ifomula yesikhathi sokungabi namandla kwediski eqinile uma ijikeleza ku-axis njengoba kuboniswe esithombeni:
I = 1/2 mr2
Incazelo: I = umzuzu wokungakhathali (kg m)2), m = isisindo (kg), r = irediyasi (amamitha)
Isikhathi sokungahlali kahle kwediski eqinile:
I = 1/2 (20)(0,2)2 = (10)(0,04) = 0,4 kg m2
Amandla e-kinetic ajikelezayo e-pulley:
EK = 1/2 I ω2 = 1/2 (0,4)(4)2 = (0,2)(16) = 3,2 amaJoules
3. Ibhola eliqinile elinesisindo esingu-10 kg kanye ne-radius yamamitha angu-0,1 lijikeleza nxazonke ngejubane eliyi-angle elingu-10 rad/s. Thola amandla e-kinetic ajikelezayo ebhola eliqinile!
Ingxoxo
Kuyaziwa ukuthi:
Isisindo sebhola eliqinile (m) = 10 kg
Irediyasi yesiyingi esiqinile (r) = amamitha angu-0,1
Ijubane le-angular (ω) = ama-radian angu-10/umzuzwana
Kubuziwe: Amandla e-Kinetic imizilaibhola eliqinile
Impendulo:
Ifomula yomzuzu we-inertia yebhola eliqinile uma lijikeleza ku-axis njengoba kuboniswe esithombeni:
Mina = (2/5) mr2
Incazelo: I = umzuzu wokungakhathali (kg m)2), m = isisindo (kg), r = irediyasi (amamitha)
Isikhathi sokungabi namandla kwesiyingi esiqinile:
I = (2/5)(10)(0,1)2 = (4)(0,01) = 0,04 kg m2
Amandla e-kinetic ajikelezayo e-solid sphere:
EK = 1/2 I ω2 = 1/2 (0,04)(10)2 = (0,02)(100) = 2 amaJoules
4. Inhlayiya enesisindo esingamakhilogremu angu-0,5 ihamba ngendilinga enejubane elingaguquguquki elingu-2 rad/s. Thola amandla e-kinetic ajikelezayo enhlayiya uma i-radius yendlela yenhlayiya ingu-10 cm.
Ingxoxo
Kuyaziwa ukuthi:
Isisindo sezinhlayiya (m) = 0,5 kg
Irediyasi yesiyingi esiqinile (r) = 10 cm = 10/100 = 0,1 amamitha
Ijubane le-angular (ω) = ama-radian angu-2/umzuzwana
Kubuziwe: Amandla e-kinetic ajikelezayo ezinhlayiya
Impendulo:
Ifomula yesikhathi sokungabi namandla kwenhlayiya:
Mina = uMnu.2 = (0,5)(0,1)2 = (0,5)(0,01) = 0,005 kg m2
Amandla e-kinetic ajikelezayo ezinhlayiya:
EK = 1/2 I ω2 = 1/2 (0,005)(2)2 = 1/2 (0,005)(4) = (0,005)(2) = 0,01 amaJoules
5. Idiski eqinile eyisilinda elinganayo iqala ijikeleza ku-axis yayo ngesivinini se-angle esingu-4 rad/s. Ubunzima kanye nerediyasi yediski kungu-1 kg kanye no-0,5 m. Uma indandatho enesisindo esingu-0,2 kg kanye nerediyasi engu-0,1 m ibekwa kudiski, lapho isikhungo sendandatho singaphezu ngqo kwesikhungo sediski, khona-ke idiski kanye nendandatho kuzojikeleza kanyekanye ngamandla e-kinetic ajikelezayo ka…
Ingxoxo
Kuyaziwa ukuthi:
Isisindo sesilinda esiqinile (m1) = 1 kg
Irediyasi yesilinda esiqinile (r)1) = 0,5 amamitha
Isivinini se-angular sesilinda esiqinile (ω1) = 4 rad/s
Isisindo sendandatho (m2) = 0,2 kg
Irediyasi yendandatho (r)2) = 0,1 amamitha
Kubuziwe: Amandla e-kinetic ajikelezayo esilinda nendandatho
Impendulo:
Okokuqala bala ijubane le-angular lesilinda nendandatho:
Isikhathi sokungahlali kahle kwesilinda esiqinile: I = 1⁄2 m1 r12 = 1⁄2 (1)(0,5)2 = (0,5)(0,25) = 0,125 kg m2
Isikhathi sokungakhathali kwendandatho: Mina = mr2 = (0,2)(0,1)2 = (0,2)(0,01) = 0,002 kg m2
Isikhathi sokungabi namandla kwesilinda esiqinile kanye nendandatho (I) = 0,125 + 0,002 = 0,127 kg m2
Umfutho we-angular isiqalo (L1) = Umfutho wokugcina we-angular (L2)
I1 ω1 = Mina2 ω2
(0,125)(4) = (0,125 + 0,002)(ω2)
(0,5) = (0,127)(ω2)
ω2 = 0,5 : 0,127
ω2 = 4 rad/s
Bala amandla e-kinetic ajikelezayo esilinda kanye nendandatho:
EK = 1/2 I ω2 = 1/2 (0,127)(4)2 = (0,127)(8) = 1,016 amaJoules
