Lebelo la Angular le lebelo le otlolohileng - mathata le litharollo

1. Bolo e qetellong ea khoele e potoloha ka ho lekana selikalikoeng se bataletseng sa radius ea limithara tse 2 ka lebelo le sa fetoheng la angular la 10 rad/s. Fumana boholo ba lebelo le otlolohileng la ntlha e fumanehang:

(a) Limithara tse 0.5 ho tloha bohareng

(b) mithara e le 1 ho tloha bohareng

(c) limithara tse 2 ho tloha bohareng

Tse tsejoang:

Radius (r) = 0.5 metres s, 1 metres, 3 metres

Lebelo la angular = 10 radians s /se cond

Ho batloa: Lebelo le otlolohileng

Tharollo:

v = r ω

v = lebelo le otlolohileng , r = radius , ω = lebelo la angular

(a) Lebelo le otlolohileng (v) la ntlha e fumanehang ho r = 0.5 metres

v = r ω = (0.5 limithara s )(10 rad/s) = 5 limithara s /se maemo

(b) Lebelo le otlolohileng (v) la ntlha e fumanehang ho r = 1 meter

v = r ω = (mithara e le 1)(10 rad/s) = limithara tse 10 s /se cond

(c) Lebelo le otlolohileng (v) la ntlha e fumanehang ho r = 2 metres s

v = r ω = (2 limithara s )(10 rad/s) = 20 limithara s /se maemo

2. Mahare a ka har'a blender a potoloha ka lebelo la 5000 rpm. Fumana boholo ba lebelo le otlolohileng:

(a) ntlha e fumanehang 5 cm ho tloha bohareng

(b) ntlha e fumanehang 10 cm ho tloha bohareng

Tse tsejoang:

Radius (r) = 5 cm le 10 cm

Lebelo la angular (ω) = 5000 liphetohelo / 60 seconds = 83.3 liphetohelo / seboemo = (83.3)(6.28 radians) / seboemo = mahlaseli a 523.3s / seboemo

Ho batloa: Boholo ba lebelo le otlolohileng

Tharollo:

(a) Boholo ba lebelo le otlolohileng la ntlha e fumanehang 0.05 m ho tloha bohareng

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

(b) Boholo ba lebelo le otlolohileng la ntlha e fumanehang 0,1 m ho tloha bohareng

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

3. Ntlha e lebileng lebili e bolelele ba 30 cm ka radius, e potoloha selikalikoe ka lebelo le sa fetoheng la limithara tse 10 ka motsotsoana.

Boholo ba lebelo la angular ke bofe?

Tse tsejoang:

Radius ( r) = 30 cm = 0.3 limithara s

Lebelo le otlolohileng (v) = limithara tse 10 s /se cond

Ho batloa: lebelo la angular

Tharollo:

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

4. Koloi e nang le mabili a bophara ba 50 cm e tsamaea limithara tse 10 ka motsotsoana o le mong . Lebelo le chitja ke lefe?

Tse tsejoang:

Radius (r) = limithara tse 0.25

Lebelo le otlolohileng la ntlha e ka lehlakoreng la mabili (v) = limithara tse 10 s /se cond

Ho batloa: Lebelo la angular

Tharollo:

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

5. Lebelo le manehileng la lebili la 20 cm ka radians ke 120 rpm. Sebaka ke sefe haeba koloi e tsamaea ka metsotsoana e 10?

Tse tsejoang:

Radius (r) = 20 cm = 0.2 mithara s

Lebelo la angular = 120 Tšen / 60 semaemo = 2 Tšen / seboemo = (2)(6.28) radians / seboemo = mahlaseli a 12.56s / seboemo

Ho batloa: sebaka

Tharollo:

Lebelo la bohale ba lebili:

v = r ω = (0.2 mithara s )(12.56 radians s /se cond ) = 2.5 metres s /se cond

Monyetla oa 2.5s / second e bolela ntlha e ka lehlakoreng la leeto la mabili Monyetla oa 2.5s motsotsoana o mong le o mong. Ka mor'a hore 10maemo, ntlha e tsamaea Monyetla oa 25s.

Kahoo sebaka ke limithara tse 25 s.

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[ID ea sephutheloana sa wpdm='439′]

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