Kuthamanga kwa angular ndi liwiro lolunjika - mavuto ndi mayankho

1. Mpira kumapeto kwa chingwe ukuzungulira mofanana mu bwalo lozungulira la radius mamita awiri pa liwiro lokhazikika la angular 10 rad/s. Dziwani kukula kwa liwiro la mzere wa mfundo yomwe ili:

(a) mamita 0.5 kuchokera pakati

(b) mita imodzi kuchokera pakati

(c) mamita awiri kuchokera pakati

Zodziwika:

utali wozungulira (r) = 0.5 mitas, mita imodzi, mamita atatu

Liwiro la angular = 10 radians/sechikhalidwe

Akufuna: The liwiro lolunjika

Yankho:

v = r ω

v= liwiro lolunjika, r = radius, ω = liwiro la angular

(a) Liwiro lolunjika (v) la mfundo yomwe ili pa r = 0.5 mamita

v = r ω = (Mamita 0.5s)(10 rad/s) = mamita 5s/sechikhalidwe

(b) Liwiro lolunjika (v) ya malo omwe ali pa r = mamita awiri

v = r ω = (mita imodzi)(10 rad/s) = mamita 10s/sechikhalidwe

(c) Liwiro lolunjika (v) ya malo omwe ali pa r = mamita awiris

v = r ω = (Mamita 2s)(10 rad/s) = mamita 20s/sechikhalidwe

2. Masamba mu blender amazungulira pa liwiro la 5000 rpm. Dziwani kukula kwa liwiro la mzere:

(a) malo omwe ali pamtunda wa 5 cm kuchokera pakati

(b) malo omwe ali pamtunda wa 10 cm kuchokera pakati

Zodziwika:

utali wozungulira (r) = 5 cm ndi 10 masentimita

Liwiro la angular (ω) = 5000 kusintha / masekondi 60econds = 83.3 kusintha / sechikhalidwe = (83.3)(6.28 ma radians) / sechikhalidwe = 523.3 radians / sechikhalidwe

Akufuna: Kukula kwa liwiro la mzere

Yankho:

(a) Kukula kwa liwiro la mzere wa mfundo yomwe ili 0.05 m kuchokera pakati

v = r ω = (0.05 m)(523.3 rad/s) = 26 m/s

(b) Kukula kwa liwiro la mzere wa mfundo yomwe ili 0,1 m kuchokera pakati

v = r ω = (0.1 m)(523.3 rad/s) = 52 m/s

3. Mfundo m'mphepete mwa gudumu 30 masentimita mu radius, kuzungulira mozungulira pa liwiro losasintha Mamita 10/sekondi.

Kodi liwiro la angular ndi lalikulu bwanji?

Zodziwika:

Ulalo wozungulira (r) = 30 cm = 0.3 mamitas

Liwiro lolunjika (v) = mamita 10s/sechikhalidwe

Akufuna: liwiro la angular

Yankho:

ω = v / r = 10 / 0.3 = ma radians 33s/sechikhalidwe

4. Galimoto yokhala ndi matayala a mainchesi 50 ulendolmamita 10 mkati 1 chachiwiri. Kodi liwiro la angular ndi lotani?

Zodziwika:

utali wozungulira (r) = mamita 0.25

Liwiro lolunjika la mfundo m'mphepete mwa tayala (v) = mamita 10s/sechikhalidwe

SE basi: Liwiro la angular

Yankho:

ω = v / r = 10 / 0.25 = ma radians 40s/sechikhalidwe

5. Liwiro la gudumu la 20 cm mu ma radians ndi 120 rpm. Kodi ndi chiyani? mtunda ngati galimotoyo iyenda mu masekondi 10.

Zodziwika:

utali wozungulira (r) = 20 cm = 0.2 mamitas

Liwiro la angular = 120 rev / 60 semikhalidwe = 2 rev / sechikhalidwe = (2)(6.28) radians / sechikhalidwe = 12.56 radians / sechikhalidwe

Akufuna: mtunda

Yankho:

mathamangidwe m'mphepete mwa gudumu:

v = r ω = (mamita 0.2s)(12.56 radians/sechikhalidwe) = mamita 2.5s/sechikhalidwe

Mphindi wa 2.5s / second amatanthauza mfundo yomwe ili m'mphepete mwa kuyenda kwa mawilo Mphindi wa 2.5s sekondi imodzi iliyonse. pambuyo 10mikhalidwe, mfundo ikuyenda Mphindi wa 25s.

Ndiye mtunda uli Mphindi wa 25s.

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