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:

Ulalo wozungulira (r) = 0.5 mamita s, mita 1, mamita 3

Liwiro la angular = 10 radians s /se cond

Kufunidwa: Liwiro lolunjika

Yankho:

v = r ω

v = liwiro lolunjika , r = utali wozungulira , ω = liwiro la angular

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

v = r ω = (0.5 mamita s )(10 rad/s) = 5 mamita s /se cond

(b) Liwiro lolunjika (v) la mfundo yomwe ili pa r = mita imodzi

v = r ω = (mita 1)(10 rad/s) = mamita 10 s / se cond

(c) Liwiro lolunjika (v) la mfundo yomwe ili pa r = 2 mamita s

v = r ω = (2 mamita s )(10 rad/s) = 20 mamita s /se cond

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

(a) mfundo yomwe ili pamtunda wa 5 cm kuchokera pakati

(b) mfundo yomwe ili pamtunda wa masentimita 10 kuchokera pakati

Zodziwika:

Ulalo wozungulira (r) = 5 cm ndi 10 cm

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

Kufunidwa: Kukula kwa liwiro la mzere

Yankho:

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

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

3. Mfundo m'mphepete mwa gudumu la 30 cm mu radius, kuzungulira bwalo pa liwiro losasintha la mamita 10/sekondi.

Kodi liwiro la angular ndi lalikulu bwanji?

Zodziwika:

Ulalo wozungulira ( r) = 30 cm = 0.3 mamita s

Liwiro lolunjika (v) = mamita 10 s / se cond

Kufunidwa: liwiro la angular

Yankho:

ω = v / r = 10 / 0.3 = 33 ma radians s / se cond

4. Galimoto yokhala ndi matayala a mainchesi 50 imayenda mamita 10 mu sekondi imodzi . Kodi liwiro lake ndi lotani?

Zodziwika:

Ulalo wozungulira (r) = mamita 0.25

Liwiro lolunjika la mfundo m'mphepete mwa matayala (v) = 10 mita s / se cond

Kufunidwa: Liwiro la angular

Yankho:

ω = v / r = 10 / 0.25 = 40 ma radians s / se cond

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

Zodziwika:

Ulalo wozungulira (r) = 20 cm = 0.2 mita s

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

Akufuna: mtunda

Yankho:

Liwiro la m'mphepete mwa gudumu:

v = r ω = (0.2 mita s )(12.56 ma radians s /se cond ) = 2.5 mamita s /se cond

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.

Kotero mtunda ndi mamita 25.

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